TWI497063B - Three dimensional image processing method and three dimensional image processing device for fibrous fillers in composite materials - Google Patents

Three dimensional image processing method and three dimensional image processing device for fibrous fillers in composite materials Download PDF

Info

Publication number
TWI497063B
TWI497063B TW102142340A TW102142340A TWI497063B TW I497063 B TWI497063 B TW I497063B TW 102142340 A TW102142340 A TW 102142340A TW 102142340 A TW102142340 A TW 102142340A TW I497063 B TWI497063 B TW I497063B
Authority
TW
Taiwan
Prior art keywords
dimensional image
value
image processing
filler
composite material
Prior art date
Application number
TW102142340A
Other languages
Chinese (zh)
Other versions
TW201425919A (en
Inventor
Toru Suzuki
Toshio Sugita
Masahiro Seto
Masashi Yamabe
Original Assignee
Panasonic Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Panasonic Corp filed Critical Panasonic Corp
Publication of TW201425919A publication Critical patent/TW201425919A/en
Application granted granted Critical
Publication of TWI497063B publication Critical patent/TWI497063B/en

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N23/00Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00
    • G01N23/02Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material
    • G01N23/04Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material
    • G01N23/046Investigating or analysing materials by the use of wave or particle radiation, e.g. X-rays or neutrons, not covered by groups G01N3/00 – G01N17/00, G01N21/00 or G01N22/00 by transmitting the radiation through the material and forming images of the material using tomography, e.g. computed tomography [CT]
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2223/00Investigating materials by wave or particle radiation
    • G01N2223/40Imaging
    • G01N2223/419Imaging computed tomograph
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2223/00Investigating materials by wave or particle radiation
    • G01N2223/60Specific applications or type of materials
    • G01N2223/615Specific applications or type of materials composite materials, multilayer laminates

Description

複合材料中之纖維狀填料的三維影像處理方法及三維影像處理裝置Three-dimensional image processing method for fibrous filler in composite material and three-dimensional image processing device

本發明係關於複合材料中的纖維狀填料之三維影像處理方法及三維影像處理裝置。The present invention relates to a three-dimensional image processing method and a three-dimensional image processing apparatus for a fibrous filler in a composite material.

近年來,利用樹脂射出成形的電子零件,係為了持續小型化的電子設備用而進行小型精密化與纖薄化。此種構成電子零件之利用樹脂射出的成形品,為了提升其剛性或者調整線膨脹係數,係使用將玻璃纖維等纖維狀填料混入至樹脂基材(matrix)後的複合材料來成形。成形品為了確保尺寸精度,而重視在事前預測成形後的翹曲變形來進行設計,及在難以產生翹曲變形的條件下進行成形。成形品的翹曲變形係由成形品的形狀、給予成形品的熱歷程之分布、成形品中的線膨脹係數或楊氏模數等熱機械特性的分布,及給予成形品的熱負載等要因所複合而產生。翹曲變形係作為成形品對於熱負載等的反應而產生,由成形品之熱特性之分布及機械特性之分布所決定。此等特性分布係由成形品內之各點中的纖維狀填料數量之分布以及纖維狀填料的長邊方向之方向的分布(配向分布)所決定。所以,可藉由掌握成形品中的纖維狀填料之分布與配向分布,而能將成形條件或成形模具予以最佳化,使得此等分布可最佳化,進而抑制或控制成形品之翹曲變形。In recent years, electronic components that are molded by resin injection have been miniaturized and slimmed for use in electronic devices that continue to be miniaturized. In order to increase the rigidity or adjust the linear expansion coefficient, the molded article which is formed by the resin is formed by mixing a composite material obtained by mixing a fibrous filler such as glass fiber into a resin base material. In order to ensure dimensional accuracy, the molded article is designed to be designed to predict warpage after molding in advance, and to perform molding under conditions in which warpage is less likely to occur. The warpage of the molded article is a distribution of the shape of the molded article, a distribution of heat history to the molded article, a distribution of thermomechanical properties such as a linear expansion coefficient or a Young's modulus in the molded article, and a heat load to the molded article. Produced by compounding. The warpage deformation occurs as a reaction of a molded article with a heat load or the like, and is determined by the distribution of thermal characteristics of the molded article and the distribution of mechanical properties. These characteristic distributions are determined by the distribution of the number of fibrous fillers at each point in the molded article and the distribution (orthogonal distribution) of the longitudinal direction of the fibrous filler. Therefore, the molding conditions or the forming mold can be optimized by grasping the distribution and the distribution of the fibrous filler in the molded article, so that the distribution can be optimized, thereby suppressing or controlling the warpage of the molded article. Deformation.

就以非破壞方式來評估成形品中的纖維狀填料之配向分布的方法而 言,已知有種方法採用X光電腦斷層掃描(電腦斷層掃描)來求出成形品的三維影像,並分析該三維影像來求出纖維的形態或分布而進行評估(例如參照非專利文獻1)。此評估方法係將互相複雜相連之纖維彼此所形成的三維路徑之曲折度(tortuosity)用作為指標來評估纖維配向之傾向。曲折度係從三維影像中切取層狀的矩形區域,進行矩形區域之纖維的影像之細線化處理,針對在矩形區域的兩端具有兩端點的路徑,求出兩端點間的路徑之中,最短路徑之路徑長與兩端點間之直線距離之比,並由該比來定義。A method for evaluating the distribution of the fibrous filler in a molded article in a non-destructive manner In other words, X-ray computed tomography (CT) is used to obtain a three-dimensional image of a molded article, and the three-dimensional image is analyzed to determine the morphology or distribution of the fiber (for example, refer to Non-Patent Document 1). ). This evaluation method evaluates the tendency of the fiber alignment by using the tortuosity of the three-dimensional path formed by the fibers which are mutually connected to each other as an index. The tortuosity is to cut a layered rectangular area from the three-dimensional image, and to perform thinning processing of the image of the fiber in the rectangular area, and to find a path between the two ends of the path at both ends of the rectangular area. The ratio of the path length of the shortest path to the linear distance between the two ends, and is defined by the ratio.

又,已知有種方法係非破壞性地直接抽取半導體封裝中的樹脂所封裝之電線及生物體內的血管或神經系統之三維座標(例如參照專利文獻1)。此方法係求出與被檢體之既定方向交叉的多數之斷層影像,從相鄰接的2個影像中分別求出2個構成點作為對應於被檢體內的線素之截面,定為代表線素的向量之起點及終點。斷層影像係藉由X光電腦斷層掃描或MRI來獲得。斷層影像中的構成點係藉由代表線素之截面的圓或橢圓之影像的重心來決定,起點與終點之對(pair),係選擇在鄰接影像間互相成為最短距離的2點。將線素之向量依序逐次在互相鄰接的斷層影像間加以連接,藉以抽取被檢體包含的線素之三維座標。Further, a method is known in which a three-dimensional coordinate of a blood vessel encapsulated by a resin in a semiconductor package and a blood vessel or a nervous system in a living body is directly extracted non-destructively (for example, refer to Patent Document 1). In this method, a plurality of tomographic images intersecting the predetermined direction of the subject are obtained, and two constituent points are respectively obtained from the two adjacent images as a cross section corresponding to the linear element in the subject, and are represented as The start and end of the vector of the line. Tomographic images are obtained by X-ray computed tomography or MRI. The constituent points in the tomographic image are determined by the center of gravity of the image representing the circle or ellipse of the cross section of the line, and the pair of the starting point and the end point are selected to be the shortest distance between adjacent images. The vector of the line elements is sequentially connected between the adjacent tomographic images, thereby extracting the three-dimensional coordinates of the line elements contained in the object.

【先前技術文獻】[Previous Technical Literature]

【非專利文獻】[Non-patent literature]

【非專利文獻1】中野亮等著,「利用X光電腦斷層掃描之纖維配向觀察與模擬」,成形加工,第20卷,第4號,pp237-241(2008年)[Non-patent Document 1] Nakano Ryo, "Vibration alignment and simulation using X-ray computed tomography", forming processing, Vol. 20, No. 4, pp237-241 (2008)

【專利文獻】[Patent Literature]

【專利文獻1】日本特開2012-32293號公報[Patent Document 1] Japanese Patent Laid-Open Publication No. 2012-32293

但是,在如上述非專利文獻1所示的纖維狀填料之配向分布之評估方法中,因為在影像進行細線化處理,所以有可能會將影像中的雜訊部分抽 取作為填料。此係因為,細線化的處理將會丟失纖維的粗細資訊,而變得無法區別雜訊與纖維。又,因為並非獨立抽取各個填料之方法,所以只能獲得纖維配向之傾向這種定性資訊。又,在如上述專利文獻1所示的抽取線素之三維座標的方法中,係將已知線素之方向為被檢體的既定方向作為前提,無法適用於填料朝向任意方向複雜配向之情形。However, in the evaluation method of the alignment distribution of the fibrous filler as shown in the above Non-Patent Document 1, since the image is thinned, it is possible to extract the noise portion in the image. Take as a filler. This is because the thinning process will lose the fiber thickness information and become indistinguishable from noise and fiber. Moreover, since it is not a method of independently extracting the respective fillers, it is only possible to obtain qualitative information on the tendency of the fibers to be aligned. Further, in the method of extracting the three-dimensional coordinates of the line as shown in the above Patent Document 1, the direction of the known line element is assumed to be the predetermined direction of the subject, and the case where the filler is complicatedly oriented in any direction cannot be applied. .

本發明解決了上述問題,目的在於提供複合材料中的纖維狀填料之三維影像處理方法及三維影像處理裝置,可從基材含入纖維狀填料的複合材料之三維影像中定量地抽取各個填料之配向資訊。The present invention solves the above problems, and aims to provide a three-dimensional image processing method and a three-dimensional image processing device for a fibrous filler in a composite material, which can quantitatively extract each filler from a three-dimensional image of a composite material in which a fibrous filler is contained in a substrate. Directional information.

為達成上述目的,本發明之複合材料中的纖維狀填料之三維影像處理方法,係從基材含入纖維狀填料的複合材料之三維影像中抽取該填料之配向資訊,其特徵在於包含以下步驟:區域選出步驟,藉由參照既定閾值而從該複合材料之三維影像中選出推定為含有代表填料之像素的候選區域;以及抽取步驟,採用隨機性改變「使填料的形狀模型之形狀與配置變化之參數」的蒙地卡羅法,將該形狀模型適配至該區域選出步驟所選出的候選區域,以抽取填料之配向資訊。In order to achieve the above object, the three-dimensional image processing method of the fibrous filler in the composite material of the present invention extracts the alignment information of the filler from the three-dimensional image of the composite material containing the fibrous filler in the substrate, and is characterized in that the following steps are included. : a region selection step of selecting a candidate region estimated to be a pixel containing the representative filler from the three-dimensional image of the composite material by referring to a predetermined threshold; and extracting the step of randomly changing the shape and configuration of the shape model of the filler The Monte Carlo method of the parameter is adapted to the candidate region selected by the selection step of the region to extract the alignment information of the filler.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟在從該候選區域中抽取1條填料的配向資訊之後,去除有關該抽取的區域,並對於去除後的候選區域重複進行利用該蒙地卡羅法之抽取。In the three-dimensional image processing method of the fibrous filler in the composite material, the extracting step removes the extracted region from the candidate region after extracting the alignment information of the filler from the candidate region, and removes the candidate region after the removal. The extraction using the Monte Carlo method is repeated.

亦可使該複合材料中的纖維狀填料之三維影像處理方法具有:資料輸入步驟,將該三維影像輸入作為體素資料;且該體素資料係藉由複合材料的X光電腦斷層掃描來取得,該體素資料的各體素係具有根據X光強度值之值來作為資料值。The three-dimensional image processing method of the fibrous filler in the composite material may further include: a data input step of inputting the three-dimensional image as voxel data; and the voxel data is obtained by X-ray computed tomography of the composite material. Each voxel of the voxel data has a value based on the value of the X-ray intensity value.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該資料輸入步驟包含:插補步驟,構成新體素資料,該新體素資料具有將該資料值在各體素間進行線性插補之值作為資料值的體素。In the three-dimensional image processing method of the fibrous filler in the composite material, the data input step includes: an interpolation step to form new voxel data, and the new voxel data has the data value between the voxels The value of the linear interpolation is used as the voxel of the data value.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該區域選出步驟係將該體素的資料值與根據X光強度值的既定閾值加以比較,將具有比該閾值更大之資料值的體素之集合定為候選區域。In the three-dimensional image processing method of the fibrous filler in the composite material, the region selection step compares the data value of the voxel with a predetermined threshold value according to the X-ray intensity value, and has a larger than the threshold value. The set of voxels of the data values is defined as a candidate region.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,從屬於該候選區域的體素中,產生以互相鄰接的體素所形成的群,並將該產生的各個群分別定為新的候選區域。In the three-dimensional image processing method of the fibrous filler in the composite material, a group formed by voxels adjacent to each other is generated from voxels belonging to the candidate region, and each of the generated groups is determined as New candidate area.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟係採用虛擬圓柱作為該形狀模型,在該候選區域內改變代表該虛擬圓柱的形狀與配置之參數,並藉由根據該虛擬圓柱所含的體素之資料值的評估值之累計值,來評估該虛擬圓柱與該候選區域的適配程度。In the three-dimensional image processing method of the fibrous filler in the composite material, the extraction step adopts a virtual cylinder as the shape model, and the parameters representing the shape and configuration of the virtual cylinder are changed in the candidate region by using The degree of adaptation of the virtual cylinder to the candidate region is evaluated according to the cumulative value of the evaluation value of the data value of the voxel contained in the virtual cylinder.

亦可使該複合材料中之纖維狀填料之三維影像處理方法中,該抽取步驟在進行利用該虛擬圓柱的適配之後,採用將多數之控制點所定義的雲形曲線(spline)定為中心軸的虛擬管來作為該形狀模型,在該候選區域內隨機性改變該控制點之座標來作為參數,評估該虛擬管與該候選區域的適配程度,在利用該虛擬管的評估比起利用該虛擬圓柱的評估改善既定比例以上之情形,採用利用該虛擬管的適配,否則採用利用該虛擬圓柱的適配,以抽取填料之配向資訊。In the three-dimensional image processing method of the fibrous filler in the composite material, the extracting step adopts a cloud curve defined by a plurality of control points as a central axis after performing the adaptation using the virtual cylinder. The virtual tube is used as the shape model, and the coordinates of the control point are randomly changed in the candidate area as a parameter, and the degree of adaptation of the virtual tube to the candidate area is evaluated, and the evaluation using the virtual tube is utilized. The evaluation of the virtual cylinder improves the situation above the predetermined ratio, and the adaptation using the virtual tube is adopted, otherwise the adaptation of the virtual cylinder is adopted to extract the alignment information of the filler.

亦可使複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟採用將多數之控制點所定義的雲形曲線定為中心軸的虛擬管來作為該形狀模型,在該候選區域內隨機性改變該控制點之座標來作為參數,並藉由根據該虛擬管所含的體素之資料值的評估值之累計值來評估該虛擬管與該候選區域的適配程度。In the three-dimensional image processing method of the fibrous filler in the composite material, the extraction step adopts a virtual tube in which a cloud curve defined by a plurality of control points is defined as a central axis as the shape model, and is randomly selected in the candidate region. The coordinates of the control point are changed as parameters, and the degree of adaptation of the virtual tube to the candidate area is evaluated by the cumulative value of the evaluation value of the data value of the voxel contained in the virtual tube.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟係對於該雲形曲線的該多數之控制點,依序逐次1個隨機性改變座標, 每次改變該1個控制點時,決定該雲形曲線並評估該適配程度,並於改變下一控制點之前,在該決定的雲形曲線上將該全部的控制點重新配置成等間隔。In the three-dimensional image processing method of the fibrous filler in the composite material, the extracting step changes the coordinates sequentially by one randomness for the majority of the control points of the cloud-shaped curve. Each time the one control point is changed, the cloud curve is determined and the degree of adaptation is evaluated, and all control points are reconfigured to be equally spaced on the determined cloud curve before changing the next control point.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟係以該體素之尺寸以下的間隔將評估點設定於該形狀模型內,並將根據體素之資料值的評估值給予該評估點,藉由給予該評估點的評估值之累計值來評估該適配程度。In the three-dimensional image processing method of the fibrous filler in the composite material, the extracting step sets the evaluation point in the shape model at intervals below the size of the voxel, and according to the data value of the voxel The evaluation value is given to the evaluation point, and the degree of adaptation is evaluated by giving the cumulative value of the evaluation value of the evaluation point.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟係將該評估點同心圓狀地配置在垂直於該形狀模型之中心軸的面。In the three-dimensional image processing method of the fibrous filler in the composite material, the extraction step is performed concentrically on the surface perpendicular to the central axis of the shape model.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,給予該評估點的評估值係定為採用該體素之資料值來進行線性插補而獲得的值。In the three-dimensional image processing method of the fibrous filler in the composite material, the evaluation value given to the evaluation point is a value obtained by linearly interpolating using the data value of the voxel.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟係採用從該評估值中減去閾值後之值作為新的評估值。In the three-dimensional image processing method of the fibrous filler in the composite material, the extraction step adopts a value obtained by subtracting the threshold value from the evaluation value as a new evaluation value.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟於該新的評估值為負值之情形,採用將該值乘以既定正數後之值作為新的評估值。In the three-dimensional image processing method of the fibrous filler in the composite material, the extraction step may be a new evaluation value by multiplying the value by a predetermined positive value when the new evaluation value is a negative value.

亦可使該複合材料中的纖維狀填料之三維影像處理方法中,該抽取步驟係以越靠近於該形狀模型之中心軸的位置之評估值越大的方式進行加權來算出該累計值。In the three-dimensional image processing method of the fibrous filler in the composite material, the extraction step is performed by weighting the evaluation value of the position closer to the central axis of the shape model to calculate the integrated value.

本發明之複合材料中的纖維狀填料之三維影像處理裝置,係從基材含入纖維狀填料的複合材料之三維影像中抽取該填料之配向資訊,其特徵在於包含:區域選出機構,藉由參照既定閾值而從該複合材料之三維影像中選出推定為含有代表填料之像素的候選區域;以及抽取機構,採用隨機性 改變「使填料的形狀模型之形狀與配置變化之參數」的蒙地卡羅法,將該形狀模型適配至該區域選出機構所選出的候選區域,以抽取填料之配向資訊。The three-dimensional image processing device for the fibrous filler in the composite material of the present invention extracts the alignment information of the filler from a three-dimensional image of the composite material containing the fibrous filler in the substrate, and is characterized by: a region selection mechanism, by Selecting a candidate region that is presumed to contain pixels representing the filler from a three-dimensional image of the composite with reference to a predetermined threshold; and extracting mechanism using randomness The Monte Carlo method of "parameters for changing the shape and configuration of the shape model of the filler" is changed, and the shape model is adapted to the candidate region selected by the region selection mechanism to extract the alignment information of the filler.

依據本發明之複合材料中的纖維狀填料之三維影像處理方法,因為根據具有使得形狀與配置改變的參數之填料的形狀模型與蒙地卡羅法,從三維影像中抽取各個填料,所以能定量地抽取填料之配向資訊。According to the three-dimensional image processing method of the fibrous filler in the composite material of the present invention, since each of the fillers is extracted from the three-dimensional image according to the shape model of the filler having parameters which change the shape and configuration, and Monte Carlo method, it is possible to quantify Grounding information of the packing material.

1‧‧‧玻璃纖維強化樹脂成形品1‧‧‧glass fiber reinforced resin molded article

2‧‧‧三維影像處理裝置2‧‧‧3D image processing device

10‧‧‧控制部10‧‧‧Control Department

11‧‧‧區域選出部(區域選出機構)11‧‧‧Regional Selection Department (Regional Election Agency)

12‧‧‧模型設定部(模型設定機構)12‧‧‧Model Setting Department (Model Setting Organization)

13‧‧‧抽取主體部(抽取機構)13‧‧‧Extracting the main body (extraction agency)

14‧‧‧資料輸入部14‧‧‧Data Input Department

15‧‧‧操作部15‧‧‧Operation Department

16‧‧‧顯示部16‧‧‧Display Department

a‧‧‧箭頭A‧‧‧ arrow

b‧‧‧評估點(取樣點)b‧‧‧Evaluation point (sampling point)

B‧‧‧圓盤B‧‧‧ disc

B0、Bx、bx‧‧‧體素B0, Bx, bx‧‧‧ voxels

C‧‧‧複合材料C‧‧‧Composite

C1~Cn、Ci‧‧‧控制點C1~Cn, Ci‧‧‧ control points

F‧‧‧填料F‧‧‧Filling

G1~G11‧‧‧三維影像G1~G11‧‧‧3D image

L、L0‧‧‧長度L, L0‧‧‧ length

M‧‧‧虛擬圓柱(形狀模型)M‧‧‧Virtual Cylinder (Shape Model)

MP‧‧‧虛擬管(形狀模型)MP‧‧‧Virtual Tube (Shape Model)

P0‧‧‧原本位置P0‧‧‧ original location

P1、P2‧‧‧端點P1, P2‧‧‧ endpoint

Pc‧‧‧中心點Pc‧‧‧ Center Point

S1~S4、S21~S25、S30~S32、S101~S110、S200~S210‧‧‧步驟S1~S4, S21~S25, S30~S32, S101~S110, S200~S210‧‧‧ steps

Sp‧‧‧雲形曲線Sp‧‧‧Cloud Curve

#0~#2、#0a、#1a、#21~#23‧‧‧步驟#0~#2, #0a, #1a, #21~#23‧‧‧Steps

Δ1、Δ2、Δ3‧‧‧間隔Δ1, Δ2, Δ3‧‧‧ interval

圖1係本發明一實施形態之複合材料中的纖維狀填料之三維影像處理方法的流程圖。BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a flow chart showing a method of processing a three-dimensional image of a fibrous filler in a composite material according to an embodiment of the present invention.

圖2係該影像處理方法的變形例之流程圖。Fig. 2 is a flow chart showing a modification of the image processing method.

圖3(a)係顯示該影像處理方法的處理對象物之例的複合材料之立體圖,圖3(b)係顯示圖3(a)之複合材料的一部分之立體圖。Fig. 3(a) is a perspective view showing a composite material of an example of the object to be processed by the image processing method, and Fig. 3(b) is a perspective view showing a part of the composite material of Fig. 3(a).

圖4係顯示圖3(b)所示的複合材料之利用X光電腦斷層掃描的三維影像。Fig. 4 is a view showing a three-dimensional image of the composite material shown in Fig. 3(b) by X-ray computed tomography.

圖5(a)係顯示將複合材料中的纖維狀填料之三維影像進行閾值處理之例的三維影像,圖5(b)係顯示圖5(a)的影像之白黑反轉影像。Fig. 5(a) shows a three-dimensional image of an example in which a three-dimensional image of a fibrous filler in a composite material is subjected to threshold processing, and Fig. 5(b) shows a white-black inverted image of the image of Fig. 5(a).

圖6係該影像處理方法的其他變形例之流程圖。Fig. 6 is a flow chart showing another modification of the image processing method.

圖7(a)(b)係說明該變形例中的插補步驟之體素的俯視圖。7(a) and 7(b) are plan views showing the voxels of the interpolation step in the modification.

圖8係說明該插補步驟的其他例之體素的立體圖。Fig. 8 is a perspective view showing a voxel of another example of the interpolation step.

圖9係該影像處理方法的其他變形例之流程圖。Fig. 9 is a flow chart showing another modification of the image processing method.

圖10係顯示該變形例中顯示藉由分割步驟產生的候選區域之例的三維影像。Fig. 10 is a view showing a three-dimensional image showing an example of a candidate region generated by the dividing step in the modification.

圖11(a)係該影像處理方法中使用的虛擬圓柱之立體圖,圖11(b)係將該虛擬圓柱表現於XYZ座標空間的立體圖,圖11(c)係將該虛擬圓柱表現於極座標空間的立體圖。Figure 11 (a) is a perspective view of the virtual cylinder used in the image processing method, Figure 11 (b) is a perspective view of the virtual cylinder in the XYZ coordinate space, and Figure 11 (c) shows the virtual cylinder in the polar coordinate space Stereogram.

圖12該影像處理方法之抽取步驟的流程圖。Figure 12 is a flow chart showing the steps of extracting the image processing method.

圖13係說明該抽取步驟中的評估值之累計的體素與形狀模型之剖視圖。Figure 13 is a cross-sectional view showing the cumulative voxel and shape model of the evaluation values in the extraction step.

圖14(a)(b)(c)係顯示分別從不同視點觀察的候選區域與該區域中的虛擬圓柱之三維影像。Fig. 14 (a), (b) and (c) show three-dimensional images of candidate regions observed from different viewpoints and virtual cylinders in the regions.

圖15係該影像處理方法的抽取步驟之變形例的流程圖。Fig. 15 is a flow chart showing a modification of the extraction step of the image processing method.

圖16係影像處理方法的抽取步驟之其他變形例的流程圖。Fig. 16 is a flow chart showing another modification of the extraction step of the image processing method.

圖17係該影像處理方法的抽取步驟之其他變形例的流程圖。Fig. 17 is a flow chart showing another modification of the extraction step of the image processing method.

圖18(a)係關於該影像處理方法的抽取步驟之其他變形例,顯示使得虛擬圓柱之端點位置改變的模樣之立體圖,圖18(b)係改變端點之後的虛擬圓柱之立體圖,圖18(c)係說明設定於圖18(b)之虛擬圓柱的評估點之俯視圖。18(a) is a perspective view showing a pattern of changing the position of the end point of the virtual cylinder, and FIG. 18(b) is a perspective view of the virtual cylinder after changing the end point, in another modification of the extraction step of the image processing method. 18(c) is a plan view showing an evaluation point of the virtual cylinder set in Fig. 18(b).

圖19係顯示將評估點設定於該虛擬圓柱的狀態之三維影像。Fig. 19 is a three-dimensional image showing a state in which an evaluation point is set to the virtual cylinder.

圖20係使用該虛擬圓柱與評估點的抽取步驟之流程圖。Figure 20 is a flow chart showing the steps of extracting the virtual cylinder and the evaluation point.

圖21係顯示複合材料中含有彎曲的纖維狀填料之情形的三維影像。Figure 21 is a three dimensional image showing the condition of a composite fibrous material containing a curved fibrous filler.

圖22係示意性顯示將虛擬圓柱模型適配至彎曲的纖維狀填料之模樣的立體圖。Figure 22 is a perspective view schematically showing the appearance of adapting a virtual cylindrical model to a curved fibrous filler.

圖23係該影像處理方法的抽取步驟之其他變形例的流程圖。Fig. 23 is a flow chart showing another modification of the extraction step of the image processing method.

圖24(a)係藉由控制點與雲形曲線來顯示虛擬管的立體圖,圖24(b)係改變1個該控制點的情形之該雲形曲線的立體圖。Fig. 24(a) is a perspective view showing a virtual tube by a control point and a cloud-shaped curve, and Fig. 24(b) is a perspective view of the cloud-shaped curve in a case where one control point is changed.

圖25(a)係將評估點設定用的圓盤沿著該虛擬管的雲形曲線進行配置的立體圖,圖25(b)係將評估點配置於該圓盤的俯視圖。Fig. 25(a) is a perspective view showing a disk for setting the evaluation point along a cloud-shaped curve of the virtual tube, and Fig. 25(b) is a plan view showing the evaluation point on the disk.

圖26係顯示將評估點設定於虛擬管的狀態之三維影像。Fig. 26 is a three-dimensional image showing a state in which an evaluation point is set to a virtual tube.

圖27係顯示採用虛擬管的適配途中之三維影像。Fig. 27 is a view showing a three-dimensional image in the middle of the adaptation using the virtual tube.

圖28(a)(b)(c)係分別顯示改變該虛擬管之各控制點的互相不同的程序之例的概念圖。28(a), (b) and (c) are conceptual diagrams each showing an example of changing programs different from each other of the control points of the virtual tube.

圖29係顯示該影像處理方法之其他變形例的流程圖。Fig. 29 is a flow chart showing another modification of the image processing method.

圖30(a)~(h)係分別說明採用該虛擬管並改變各控制點來進行適配之程序的概念圖。30(a) to (h) are conceptual diagrams each illustrating a procedure for adapting the virtual tube and changing each control point.

圖31係一實施形態之複合材料中的纖維狀填料之三維影像處理裝置的方塊構成圖。Figure 31 is a block diagram showing a three-dimensional image processing apparatus for a fibrous filler in a composite material according to an embodiment.

圖32係顯示將該影像處理方法及同影像處理裝置所抽取的纖維狀填料堆疊成三維影像來表示的三維影像。32 is a three-dimensional image showing the image processing method and the fibrous filler extracted by the image processing device in a three-dimensional image.

圖33係顯示影像處理方法及同影像處理裝置所抽取的纖維狀填料之纖 維長度之頻度比例的頻度分布圖。33 is a view showing an image processing method and a fiber of a fibrous filler extracted by the same image processing device; The frequency distribution of the frequency ratio of the dimension length.

【實施發明之較佳形態】[Preferred form of implementing the invention]

以下參照圖式說明本發明一實施形態之複合材料中的纖維狀填料之三維影像處理方法及三維影像處理裝置。圖1係顯示一實施形態之複合材料中的纖維狀填料之三維影像處理方法(以下稱為影像處理方法)。本影像處理方法如圖1所示,包含:區域選出步驟(#1);以及抽取步驟(#2);且執行此等步驟,從基材含入纖維狀填料的複合材料之三維影像中,取出複合材料中之填料之配向資訊。配向資訊係例如填料在何種場所、以何種形狀與方向進行配置之資訊。區域選出步驟(#1)係獲得複合材料之三維影像,藉由參照既定閾值,從該三維影像中選出推定為含有代表填料之像素(立體像素)的候選區域。抽取步驟(#2)係採用「使規定已決定的填料之形狀模型的形狀與配置之參數」隨機性改變的蒙地卡羅法,將形狀模型適配至區域選出步驟所選出的候選區域,而抽取填料之配向資訊。填料的配向資訊係從適配結果的形狀模型之形狀與配置中進行抽取。處理對象之複合材料例如為:玻璃纖維強化樹脂,使得由液晶聚合物所構成的基材含入強化用之玻璃纖維作為纖維狀填料。此複合材料之情形,本影像處理方法係抽取液晶聚合物樹脂中的玻璃纖維之配向資訊。Hereinafter, a three-dimensional image processing method and a three-dimensional image processing apparatus for a fibrous filler in a composite material according to an embodiment of the present invention will be described with reference to the drawings. Fig. 1 is a view showing a three-dimensional image processing method (hereinafter referred to as an image processing method) of a fibrous filler in a composite material according to an embodiment. The image processing method is as shown in FIG. 1 and includes: a region selection step (#1); and an extraction step (#2); and performing the steps of the three-dimensional image of the composite material containing the fibrous filler from the substrate, Remove the alignment information of the filler in the composite. The alignment information is information such as where the filler is placed and in what shape and direction. The region selection step (#1) obtains a three-dimensional image of the composite material, and by referring to a predetermined threshold, a candidate region estimated to contain pixels (stereopixels) representing the filler is selected from the three-dimensional image. The extraction step (#2) is to adapt the shape model to the candidate region selected by the region selection step by using the Monte Carlo method of changing the randomness of the shape and configuration parameters of the shape model of the predetermined filler. And the alignment information of the filler is taken. The alignment information of the filler is extracted from the shape and configuration of the shape model of the adaptation result. The composite material to be treated is, for example, a glass fiber reinforced resin, so that the substrate made of the liquid crystal polymer contains the glass fiber for reinforcement as a fibrous filler. In the case of the composite material, the image processing method extracts the alignment information of the glass fibers in the liquid crystal polymer resin.

圖2係顯示上述影像處理方法的變形例。此影像處理方法係於上述圖1之實施形態中包含:資料輸入步驟(#0),作為區域選出步驟(#1)之前置步驟;且抽取步驟(#2)包含:模型設定步驟(S1);抽取主步驟(S2);以及反覆處理步驟(S3、S4)。Fig. 2 is a view showing a modification of the above image processing method. The image processing method in the embodiment of FIG. 1 includes: a data input step (#0) as a region selection step (#1) pre-step; and an extraction step (#2) includes: a model setting step (S1) ); extracting the main step (S2); and repeating the processing steps (S3, S4).

資料輸入步驟(#0)將複合材料中的纖維狀填料之三維影像輸入作為體素資料。體素資料係藉由複合材料之X光電腦斷層掃描來取得,體素資料的各體素係具有根據X光強度值之值來作為資料值。例如圖3(a)、(b)所示,複合材料C係射出成形為長箱狀的玻璃纖維強化樹脂成形品1的一部分。 在此種樹脂成形品1中,於箭頭a所示的長邊方向進行樹脂注入時,玻璃纖維係大致上沿著該箭頭a的方向進行配向。The data input step (#0) inputs a three-dimensional image of the fibrous filler in the composite material as voxel data. The voxel data is obtained by X-ray computed tomography of the composite material, and each voxel of the voxel data has a value based on the value of the X-ray intensity value. For example, as shown in FIGS. 3(a) and 3(b), the composite material C is a part of the glass fiber reinforced resin molded article 1 molded into a long box shape. In the resin molded article 1, when the resin is injected in the longitudinal direction indicated by the arrow a, the glass fiber is aligned substantially in the direction of the arrow a.

圖4係顯示圖3(b)所示的複合材料C之利用X光電腦斷層掃描的三維影像G1。三維影像G1係使X光從各種方向穿透複合材料C,收集因應於X光吸收量的分布而形成的強度分布(profile),並從此等強度分布中將複合材料C的多數之斷層像重建為黑白的濃淡影像予以三維顯示。藉由基材(例如液晶聚合物)與纖維狀填料(例如玻璃纖維)之X光吸收量之差異,獲得含有纖維狀填料的三維影像資訊的三維影像G1。體素的資料值係代表填料的存在率。體素的資料值可因應於例如採用濃淡或黑白何者來代表纖維狀填料而任意設定,也可因應於使用資料值之目的來任意設定。體素,此用語原本係指構成三維影像空間的一般性立體像素之意,在本影像處理方法中,有時係限縮使用於利用某個閾值來選擇的成為影像處理對象的立體像素之意,例如在從候選區域中刪除體素等表現中。Fig. 4 is a view showing a three-dimensional image G1 of the composite material C shown in Fig. 3(b) by X-ray computed tomography. The three-dimensional image G1 causes X-rays to penetrate the composite material C from various directions, collects an intensity profile formed in accordance with the distribution of the X-ray absorption amount, and reconstructs a plurality of tomographic images of the composite material C from the intensity distributions. Three-dimensional display of black and white shading images. The three-dimensional image G1 containing the three-dimensional image information of the fibrous filler is obtained by the difference in the X-ray absorption amount of the substrate (for example, liquid crystal polymer) and the fibrous filler (for example, glass fiber). The data value of the voxel represents the presence of the filler. The data value of the voxel can be arbitrarily set depending on, for example, the use of the shade or the black and white to represent the fibrous filler, or can be arbitrarily set for the purpose of using the data value. Voxel, the term originally refers to the general three-dimensional pixel that constitutes the three-dimensional image space. In this image processing method, it is sometimes limited to use the stereo pixel selected as the image processing object by using a certain threshold. For example, in the performance of deleting voxels from candidate regions.

區域選出步驟(#1)係於複合材料C之三維影像中選出候選區域,該候選區域係包含推定為含有代表填料之像素的區域。區域選出步驟(#1)係藉由候選區域選出用的閾值來判別體素之資料值,例如,將具有比閾值更大之資料值的體素之集合定為候選區域。此時,資料值係X光強度值,其閾值係根據X光強度值之分布來設定。圖5(a)、(b)之三維影像G2、G3係分別顯示藉由此種閾值處理來選出候選區域之例。藉由此區域選出步驟(#1),從背景區域中切出代表填料的像素之區域。The region selection step (#1) selects a candidate region from the three-dimensional image of the composite material C, the candidate region including a region estimated to contain pixels representing the filler. The region selection step (#1) discriminates the voxel data value by the threshold value for the candidate region selection, for example, sets the voxel set having the data value larger than the threshold as the candidate region. At this time, the data value is an X-ray intensity value, and the threshold is set based on the distribution of the X-ray intensity values. The three-dimensional images G2 and G3 of Figs. 5(a) and (b) respectively show examples in which candidate regions are selected by such threshold processing. By the region selection step (#1), the region of the pixel representing the filler is cut out from the background region.

抽取步驟(#2)的模型設定步驟(S1)係對於區域選出步驟(#1)所設定的候選區域將形狀模型設定為構成具有分別改變形狀與配置的參數而能重現填料的形狀。形狀模型之形狀係因應於複合材料中所含有的填料之形狀來設定。例如將圓柱、長橢圓、角柱,多數之圓柱沿著曲線沿伸的曲線空心管等定為形狀模型。各者均係具有已定義長邊方向的配向性。The model setting step (S1) of the extraction step (#2) sets the shape model to the candidate region set in the region selection step (#1) so as to constitute a shape having a parameter that changes shape and configuration and can reproduce the filler. The shape of the shape model is set in accordance with the shape of the filler contained in the composite material. For example, a cylinder, a long ellipse, a corner column, and a plurality of cylinders are defined as a shape model along a curved hollow tube extending along a curve. Each has an orientation with a defined long-side direction.

形狀模型的形狀之參數係決定形狀模型的形狀與大小,例如圓柱之情 形係半徑與長度,長橢圓之情形係三維橢圓的3軸長,角柱的場合係截面形狀、大小以及角柱之長度等,將其設定成在既定的範圍內改變。曲線空心管(圓管)之情形,只要設定形狀的參數使得半徑、曲線長、曲線的彎曲情況(例如進行折線近似,各線段長、相互的折角方向與大小等)等在既定的範圍內改變即可。又,形狀模型的配置之參數,係對於設定有三維空間座標軸之空間中的候選區域,決定形狀已定的形狀模型之位置與姿勢,例如,可將形狀模型的長邊方向兩端之位置座標定為配置之參數。配置之參數只要能唯一地決定形狀模型的配置即可,亦可使用形狀模型的中心位置座標與方位角等。The shape of the shape model determines the shape and size of the shape model, such as the shape of a cylinder. The radius and length of the shape, the case of a long ellipse is the three-axis length of the three-dimensional ellipse, and the shape of the cross-section is the shape and size of the cross-section, and the length of the corner post, etc., and is set to be changed within a predetermined range. In the case of a curved hollow tube (round tube), the parameters of the shape are set such that the radius, the length of the curve, and the bending of the curve (for example, the approximation of the fold line, the length of each line segment, the direction and size of the mutual corners, etc.) are changed within a predetermined range. Just fine. Moreover, the parameter of the configuration of the shape model determines the position and posture of the shape model whose shape is determined for the candidate region in the space in which the coordinate axis of the three-dimensional space is set. For example, the position coordinates of the both ends of the shape model in the long side direction can be determined. Set as the parameter of the configuration. As long as the configuration parameters can uniquely determine the configuration of the shape model, the center position coordinates and azimuth of the shape model can also be used.

抽取主步驟(S2)係改變模型設定步驟(S1)所設定的形狀模型之參數已使形狀模型適配至候選區域,並將該適配的形狀模型之形狀與配置之資訊定為填料之配向資訊。抽取主步驟(S2)係根據蒙地卡羅法來進行隨機性改變形狀模型之參數並予以適配的處理。在蒙地卡羅法中,對於填料存在機率高的體素群,採用亂數使參數在一定範圍內進行變動,以採用評估較高之參數的方式,來將形狀模型的參數予以最佳化。在蒙地卡羅法中,每次改變參數時,藉由以既定方法所求的全體評估值來評估候選區域與形狀模型的適配程度。並在其全體評估值變成未往改善方向更新的時間點,將當時的形狀模型視為填料,而將1條填料的抽取處理予以收斂。The main step of extracting (S2) is to change the shape model parameter set by the model setting step (S1) to fit the shape model to the candidate region, and to define the shape and configuration information of the adapted shape model as the orientation of the filler. News. The main step of extracting (S2) is a process of randomly changing the parameters of the shape model according to the Monte Carlo method and adapting them. In the Monte Carlo method, for the voxel group with high probability of filler, the parameters are varied within a certain range by using random numbers, and the parameters of the shape model are optimized by evaluating the higher parameters. . In the Monte Carlo method, each time the parameter is changed, the degree of adaptation of the candidate region to the shape model is evaluated by the overall evaluation value obtained by the predetermined method. At the time when the entire evaluation value is updated to the direction of improvement, the shape model at that time is regarded as a filler, and the extraction processing of one filler is converged.

反覆用的處理步驟(S3),重複進行從候選區域中藉由抽取主步驟(S2)來抽取1條填料之配向資訊的處理,而進行用來從含有多數之填料的候選區域全區中抽取全部的填料之配向資訊的處理。反覆用的處理步驟(S3)於抽取1條填料之後,從候選區域中去除有關1個形狀模型之最終適配的區域,藉以有效率地進行後續的下一次抽取。去除該區域之後,若仍有候選區域的餘留區域(S4中、是),則重複進行自模型設定步驟(S1)起之處理,若無(S4中No),則結束影像處理。Repeating the processing step (S3), repeating the process of extracting the alignment information of one filler from the candidate region by extracting the main step (S2), and performing extraction from the entire region of the candidate region containing the majority of the filler Processing of alignment information for all fillers. The reverse processing step (S3) removes the final adapted region of the one shape model from the candidate region after extracting one filler, thereby efficiently performing the subsequent next extraction. After the area is removed, if there is still a remaining area of the candidate area (Yes in S4), the processing from the model setting step (S1) is repeated, and if not (No in S4), the image processing is ended.

依據本實施形態之影像處理方法,因為根據擁有使得形狀與配置改變的參數的填料之形狀模型與蒙地卡羅法而從三維影像中抽取各個填料,所 以能定量地抽取填料之配向資訊。又,本影像處理方法係藉由X光電腦斷層掃描等非破壞地獲得複合材料中的纖維狀填料之三維影像,所以能以非破壞的方式定量地抽取填料之配向資訊。According to the image processing method of the present embodiment, since each of the fillers is extracted from the three-dimensional image based on the shape model of the filler having the parameters that change the shape and the configuration and the Monte Carlo method, The quantitative information of the packing can be quantitatively extracted. Moreover, in the image processing method, the three-dimensional image of the fibrous filler in the composite material is obtained non-destructively by X-ray computed tomography or the like, so that the alignment information of the filler can be quantitatively extracted in a non-destructive manner.

圖6係顯示上述影像處理方法的其他變形例。此變形例係於複合材料中的纖維狀填料之三維影像處理方法中,使得資料輸入步驟(#0)具有:插補步驟(#0a),在各體素間線性插補體素的資料值。該線性插補可採用例如三線性(trilinear)插補來進行。Fig. 6 shows another modification of the above image processing method. This modification is based on the three-dimensional image processing method of the fibrous filler in the composite material, so that the data input step (#0) has an interpolation step (#0a) in which the data values of the voxels are linearly interpolated between the voxels. This linear interpolation can be performed using, for example, trilinear interpolation.

如圖7(a)所示,三維影像資料包含:具有資料值之體素Bx;以及因為測定條件之影響等而不具有原本應有的資料值之體素B0。插補步驟(#0a)如圖7(b)所示,根據周邊體素Bx的資料值將資料值給予此種體素B0。藉此,能提升適配的精度。又,插補步驟(#0a)如圖8所示,可構成具有新體素bx的新體素資料,該新體素bx係在各體素Bx間將資料值進行線性插補而獲得的值定為資料值。亦即,資料輸入步驟(#0)將體素Bx加以分割而產生小的體素bx,並將體素Bx間線性插補之值定為體素bx的資料值。此種體素的分割插補,在體素的尺寸約等於或大於填料之尺寸時,可提升適配的精度。As shown in FIG. 7(a), the three-dimensional image data includes: a voxel Bx having a data value; and a voxel B0 which does not have an original data value due to influence of measurement conditions and the like. The interpolation step (#0a) is as shown in Fig. 7(b), and the data value is given to the voxel B0 based on the data value of the peripheral voxel Bx. Thereby, the accuracy of the adaptation can be improved. Further, as shown in FIG. 8, the interpolation step (#0a) can constitute a new voxel data having a new voxel bx obtained by linearly interpolating data values between voxels Bx. The value is set to the data value. That is, the data input step (#0) divides the voxel Bx to generate a small voxel bx, and sets the value of the linear interpolation between the voxels Bx as the data value of the voxel bx. The segmentation interpolation of such voxels can improve the accuracy of the adaptation when the size of the voxels is approximately equal to or larger than the size of the filler.

圖9、圖10係顯示上述影像處理方法另外的變形例。此變形例如圖9所示,上述的區域選出步驟(#1)具有:分割步驟(#1a),將大的候選區域分割成更小的候選區域。在分割步驟(#1a)中,從屬於候選區域的體素中,產生由互相鄰接的體素所構成的群(群組),將各個群分別定為新的候選區域。體素,就2個體素互相鄰接的狀況而言,包含面間鄰接、邊間鄰接、及頂點間鄰接。所以,例如將互相面間鄰接的體素之集合且由既定個數以上的體素所構成的集合認定為群,將該群定為新的個別候選區域。即使是面間鄰接的體素,當此等集合未含既定個數以上的體素時,亦將其以及未面間鄰接的孤立體素從候選區域中刪除。9 and 10 show another modification of the image processing method described above. This modification is, for example, as shown in FIG. 9, and the above-described area selection step (#1) has a division step (#1a) for dividing a large candidate area into smaller candidate areas. In the division step (#1a), groups (groups) composed of voxels adjacent to each other are generated from the voxels belonging to the candidate region, and each group is defined as a new candidate region. The voxels include adjacency, inter-edge abutment, and abutment between the vertices in the case where the two voxels are adjacent to each other. Therefore, for example, a set of voxels adjacent to each other and a set of voxels of a predetermined number or more is identified as a group, and the group is defined as a new individual candidate region. Even if the voxels adjacent to each other do not contain a predetermined number or more of voxels, they are also deleted from the candidate region.

原本係作為具有比閾值大的資料值之體素的1個集合而選出的候選區 域,經由此分割步驟(#1a)而細分化成多數之候選區域。再者,排除下述島狀體素:不被認為是構成填料、離散成既定個數以下者。該既定個數係根據填料的形狀等事前知識,或根據由實驗性執行抽取主步驟(S2)而獲得的知識來進行設定。圖10之三維影像G4係顯示經過分割步驟(#1a)後設定的候選區域之例。另,於此等分割步驟的處理之際,亦可將面間鄰接、週間鄰接、以及頂點間鄰接的體素均包含於群。The candidate area originally selected as a set of voxels having a larger data value than the threshold The domain is subdivided into a plurality of candidate regions via this segmentation step (#1a). Further, the following island-shaped voxels are excluded: they are not considered to constitute a filler, and are dispersed to a predetermined number or less. The predetermined number is set based on prior knowledge such as the shape of the filler or based on knowledge obtained by experimentally performing the extraction main step (S2). The three-dimensional image G4 of Fig. 10 shows an example of a candidate region set after the division step (#1a). Further, in the processing of the dividing step, the voxels adjacent to each other, the adjacent to each other, and the voxels adjacent to each other may be included in the group.

本影像處理方法因為可藉由具備此種分割步驟(#1a)來縮減蒙地卡羅法進行探索的範圍,所以能有效率地進行影像處理,能減輕抽取主步驟(S2)的計算負載。又,本方法藉由鄰接的體素來設定候選區域,所以在進行座標所致的分群時避免下述弊端:跨越群組間的填料受到截斷而會判定成2根填料。分割步驟(#1a)可應用於經過上述插補步驟(#0a)的資料。Since the image processing method can reduce the range of the Monte Carlo method by performing such a dividing step (#1a), the image processing can be performed efficiently, and the calculation load of the main step (S2) can be reduced. Further, since the method sets the candidate region by the adjacent voxels, the disadvantages are avoided when the grouping by the coordinates is performed: the filler between the groups is cut off, and two fillers are determined. The dividing step (#1a) can be applied to the material that has passed through the above interpolation step (#0a).

圖11至圖14係顯示上述影像處理方法的更多其他變形例。此變形例如圖11(a)(b)(c)所示,採用虛擬圓柱M作為重現填料形狀的形狀模型。因為虛擬圓柱M係藉由其半徑R與長度L來決定形狀,並藉由其中心軸上的兩端點P1、P2的座標P1(x1、y1、z1)、P2(x2、y2、z2)來決定XYZ正交座標空間中的空間配置,所以具有8個參數。因為給定長度L為兩端點P1、P2間的距離,所以能使參數成為7個。填料的直徑係已知且可固定於特定值時,可固定半徑R而定為6個參數。虛擬圓柱M的配置不限於利用兩端點P1、P2之座標來表示,可使用中心點Pc的座標,亦可使用極座標(r,θ,Φ)來表示虛擬圓柱的傾向。11 to 14 show still other modified examples of the above image processing method. This deformation is, for example, as shown in Fig. 11 (a), (b) and (c), using the virtual cylinder M as a shape model for reproducing the shape of the filler. Because the virtual cylinder M is shaped by its radius R and length L, and by the coordinates P1 (x1, y1, z1) and P2 (x2, y2, z2) of the two end points P1 and P2 on the central axis. To determine the spatial configuration in the XYZ orthogonal coordinate space, there are 8 parameters. Since the given length L is the distance between the two end points P1 and P2, the number of parameters can be made seven. When the diameter of the filler is known and can be fixed to a specific value, the radius R can be fixed and set to 6 parameters. The arrangement of the virtual cylinders M is not limited to being represented by the coordinates of the both end points P1 and P2, and the coordinates of the center point Pc may be used, and the polar coordinates (r, θ, Φ) may be used to indicate the tendency of the virtual cylinder.

如此,就虛擬圓柱的參數而言,包含兩端點的三維座標、中心的三維座標、方向(方位、高度)、長度、半徑等,其中,一部分係獨立變數,其餘係從其他獨立變數導出。獨立變數與從屬變數之關係係互補,將何者當成獨立變數可在軟體內彈性變更。例如,端點的位置變動時,從端點的位置導出中心位置、長度、及方向。長度進行變動時,從中心位置與長度導出端點位置。填料的直徑係已知時,就圓柱的參數而言,只要僅將兩端點的三維座標(3×2=6自由度)加以最佳化即可。Thus, in terms of the parameters of the virtual cylinder, the three-dimensional coordinates of the two ends, the three-dimensional coordinates of the center, the direction (azimuth, height), the length, the radius, and the like are included, wherein some of the independent variables are derived, and the rest are derived from other independent variables. The relationship between the independent variable and the dependent variable is complementary, and what is considered as an independent variable can be elastically changed in the soft body. For example, when the position of the endpoint changes, the center position, length, and direction are derived from the position of the endpoint. When the length changes, the end position is derived from the center position and length. When the diameter of the filler is known, as far as the parameters of the cylinder are concerned, only the three-dimensional coordinates (3 × 2 = 6 degrees of freedom) of the two end points can be optimized.

此影像處理方法如圖12所示,於抽取步驟(#2)的模型設定步驟(S1)中,設定虛擬圓柱來做為重現填料形狀的形狀模型,並於抽取主步驟(S2)中使用虛擬圓柱來進行填料之抽取。抽取主步驟(S2)中,在候選區域內隨機性改變虛擬圓柱M的形狀(半徑、長度)與配置(兩端的座標等)參數,評估具有已改變的形狀與配置之虛擬圓柱,與候選區域的適配程度,而抽取填料。適配程度係如圖13所示,以各體素Bx之內,虛擬圓柱M所含的體素Bx(以黑點顯示)之資料值作為評估值,並藉由該評估值得累計值來評估。評估係例如採用該累計值、虛擬圓柱M所含的體素Bx之個數N、累計值除以個數N而正規化之值等來綜合進行。例如,正規化之值固定且個數N有增大傾向時,判斷為適配尚未收斂,能進一步使虛擬圓柱M。將累計值為最大的虛擬圓柱M之形狀與配置抽取作為填料之配向資訊。綜合評估值,例如,圖14(a)(b)(c)之三維影像G5係顯示分別從不同視角觀察而言的候選區域之三維影像與在該區域中進行適配的1個虛擬圓柱M。This image processing method is as shown in FIG. 12. In the model setting step (S1) of the extraction step (#2), the virtual cylinder is set as a shape model for reproducing the shape of the filler, and is used in the main step of extraction (S2). A virtual cylinder is used to extract the packing. In the main step of extracting (S2), the shape (radius, length) and the configuration (coordinates at both ends) of the virtual cylinder M are randomly changed within the candidate region, and the virtual cylinder having the changed shape and configuration is evaluated, and the candidate region is evaluated. The degree of adaptation while extracting the filler. The degree of adaptation is as shown in Fig. 13. The data value of the voxel Bx (shown by black dots) contained in the virtual cylinder M is used as an evaluation value within each voxel Bx, and is evaluated by the estimated value of the evaluation. . The evaluation is performed by, for example, using the integrated value, the number N of voxels Bx included in the virtual cylinder M, the value of the integrated value divided by the number N, and the like. For example, when the value of the normalization is fixed and the number N tends to increase, it is determined that the adaptation has not yet converged, and the virtual cylinder M can be further made. The shape and configuration of the virtual cylinder M with the largest cumulative value is extracted as the alignment information of the filler. The comprehensive evaluation value, for example, the three-dimensional image G5 of FIG. 14(a), (b), and (c) shows a three-dimensional image of the candidate region viewed from different perspectives and one virtual cylinder M adapted in the region. .

以下更詳細說明使用上述虛擬圓柱M的填料抽取處理。填料之三維影像,例如認為上述之三維影像G4含有多數之候選區域的群,各群分別含有多數根填料的影像。所以,在模型設定步驟(S1)中,對於此等之中的1個群,隨機性產生多數之虛擬圓柱M,對於各虛擬圓柱M評估適合度,並選擇評估最高的虛擬圓柱M,採用其參數作為初始參數。其次,在抽取主步驟(S2)中,從該初始參數開始,於既定的變動範圍內,隨機性改動參數來進行評估,評估若改善則更新參數。亦即,於最佳化的基本演算法採用蒙地卡羅法,利用亂數使參數在一定範圍內進行變動,採用適合度評估較高的參數。對於所選擇的虛擬圓柱反覆進行此程序,若評估沒有改善則定為收斂而確定參數,藉此抽取1條填料。The filler extraction process using the above-described virtual cylinder M will be described in more detail below. For the three-dimensional image of the filler, for example, the above-described three-dimensional image G4 is considered to contain a plurality of candidate regions, and each group contains images of a plurality of fillers. Therefore, in the model setting step (S1), for each of the groups, a plurality of virtual cylinders M are randomly generated, the fitness is evaluated for each virtual cylinder M, and the virtual cylinder M having the highest evaluation is selected, and the virtual cylinder M is selected. The parameter is used as the initial parameter. Secondly, in the main step of extracting (S2), starting from the initial parameter, the parameter is randomly changed within a predetermined range of variation, and the parameter is updated if the evaluation is improved. That is to say, the Monte Carlo method is used to optimize the basic algorithm, and the parameters are changed within a certain range by using random numbers, and the parameters with higher fitness are evaluated by fitness. This procedure is repeated for the selected virtual cylinder, and if the evaluation is not improved, the parameters are determined to converge, thereby extracting one filler.

其次,於反覆用的處理步驟(S3)中,從候選區域中刪除有關該所抽取的填料之體素,亦即屬於虛擬圓柱M的體素,並對於餘留的候選區域,在同一群內再度重複從採用初始參數的程序起到以後的程序。體素是否屬於虛擬圓柱M,例如只要藉由體素的中心或頂點等預先設定於體素的點是否包 含於虛擬圓柱M內來決定即可。若1個群內變成無法抽取填料,則對於其他群進行填料之抽取。在結束對於全部的群之填料抽取的時間點,結束抽取步驟(#2)。另,抽取1條填料之後從候選區域中刪除體素之際,若產生既定多數個以下的島狀體素組,則同時將該島狀的體素刪除,減低之後的處理之計算負載。又,在群內,處理對象之體素數量成為既定個數以下時,判斷為在群內變成無法抽取填料,亦即,在群內抽取完畢。Next, in the repeated processing step (S3), voxels relating to the extracted filler, that is, voxels belonging to the virtual cylinder M, are deleted from the candidate region, and the remaining candidate regions are in the same group. Repeat the procedure from the initial parameter to the later program. Whether the voxel belongs to the virtual cylinder M, for example, whether the point of the voxel is preset by the center or the vertex of the voxel It is included in the virtual cylinder M to determine. If the filler cannot be extracted in one group, the extraction of the filler is performed for the other groups. At the point in time when the filling of the packing for all the groups is ended, the extraction step (#2) is ended. Further, when one piece of the filler is extracted and the voxel is deleted from the candidate region, if a predetermined number of island-shaped voxel groups are generated, the island-shaped voxel is deleted at the same time, and the calculation load of the subsequent processing is reduced. Further, when the number of voxels to be processed is within a predetermined number or less in the group, it is determined that the filler cannot be extracted within the group, that is, the extraction is completed within the group.

圖15係顯示上述影像處理方法的更多其他變形例。此影像處理方法之抽取步驟(#2)係使上述的模型設定步驟(S1)之後的抽取主步驟(S2)包含評估點設定步驟(S21)。評估點設定步驟(S21)係以體素尺寸以下的間隔將多數之評估點(取樣點)設定於虛擬圓柱M內,並根據體素之資料值將評估值給予各評估點。Fig. 15 shows still more other modifications of the above image processing method. The extraction step (#2) of the image processing method is such that the extraction main step (S2) after the above-described model setting step (S1) includes an evaluation point setting step (S21). The evaluation point setting step (S21) sets a plurality of evaluation points (sampling points) in the virtual cylinder M at intervals below the voxel size, and gives the evaluation values to the evaluation points based on the data values of the voxels.

評估點例如只要定為將上述圖13所示的虛擬圓柱M內之體素Bx如上述圖8所示的方式細分化而獲得的較小體素之代表點,以及原本的較大體素的代表點即可。各評估點之評估值係包含以細分化所產生的體素之原本的較大體素之資料值。此種評估點與評估值係產生於虛擬圓柱M內。藉此,相較於在體素資料的全體提高資料密度之情形(例如圖8)而言,具有可局部性完成計算的優點。評估點係利用體素的位置與資料值所構成的、固定於體素資料空間的點。虛擬圓柱M係隨著其參數的變動,而在體素資料空間內改變位置、進行伸縮,並藉由取得的評估點來評估。The evaluation point is, for example, a representative point of a smaller voxel obtained by subdividing the voxel Bx in the virtual cylinder M shown in FIG. 13 as shown in FIG. 8 above, and a representative of the original larger voxel. Just click. The evaluation value of each evaluation point is a data value of a larger voxel containing the original voxel generated by the subdivision. Such evaluation points and evaluation values are generated in the virtual cylinder M. Thereby, compared with the case where the data density is increased in the whole of the voxel data (for example, FIG. 8), there is an advantage that the calculation can be performed locally. The evaluation point is a point formed by the position and data value of the voxel and fixed in the voxel data space. The virtual cylinder M system changes position, expands and contracts within the voxel data space as its parameters change, and is evaluated by the obtained evaluation points.

抽取主步驟(S2)係採用給予各評估點之評估值的累計值來評估適配程度,以取代上述圖12之抽取主步驟(S2)中的體素之資料值的累計值。藉由採用此種體素細分化之評估點與其評估值,能對於虛擬圓柱M內所含的體素之體積更加精度良好地取得累計值,而更加精度良好地評估適配程度。The main step of extracting (S2) is to estimate the degree of adaptation by using the cumulative value of the evaluation values given to each evaluation point in place of the cumulative value of the data values of the voxels in the main step (S2) of the above-mentioned drawing. By using the evaluation point of the voxel subdivision and the evaluation value thereof, it is possible to obtain an integrated value more accurately with respect to the volume of the voxel contained in the virtual cylinder M, and to evaluate the degree of adaptation more accurately.

圖16係顯示上述影像處理方法的更多其他變形例。此影像處理方法的抽取步驟(#2)係於上述評估點設定步驟(S21)之後具有評估值插補步驟(S22)。亦即,就給予評估點的評估值而言,評估值插補步驟(S22)係將採用 原本體素之資料值來進行線性插補而獲得的值定為評估點的評估值。此時,評估點係插補於體素之代表點與體素之代表點間的點,利用插補的評估點之評估值係以採用體素之資料值得線性插補而獲得。就線性插補的方法而言,可採用三線性插補。例如,將評估點設定於各體素間的中間位置時,只要藉由包圍該評估點的8個體素之資料值(評估值)的三線性插補來評估點之評估值即可。藉由具有此種評估值插補步驟(S22),能更加精度良好地評估適配程度。Fig. 16 shows still more other modifications of the above image processing method. The extraction step (#2) of this image processing method has an evaluation value interpolation step (S22) after the above-described evaluation point setting step (S21). That is, in terms of the evaluation value given to the evaluation point, the evaluation value interpolation step (S22) will be adopted. The value obtained by linearly interpolating the data value of the original ontology is determined as the evaluation value of the evaluation point. At this time, the evaluation point is interpolated between the representative point of the voxel and the representative point of the voxel, and the evaluation value of the evaluation point using the interpolation is obtained by linear interpolation using the data of the voxel. For linear interpolation methods, trilinear interpolation can be used. For example, when the evaluation point is set at an intermediate position between voxels, the evaluation value of the point can be evaluated by trilinear interpolation of the data value (evaluation value) of the 8 voxels surrounding the evaluation point. By having such an evaluation value interpolation step (S22), the degree of adaptation can be evaluated more accurately.

圖17係顯示上述影像處理方法的更多其他變形例。此影像處理方法的抽取步驟(#2)係於上述評估值插補步驟(S22)之後更具有評估值減去步驟(S23)、罰算(penalty)步驟(S24)、加權步驟(S25)。評估值減去步驟(S23)係將從評估值中減去既定閾值後之值定為評估值。罰算步驟(S24)係於評估值為負之情形,將該值乘以既定正數後之值定為新的評估值。例如,評估值取得負值時,將評估值乘10倍後之值定為新的評估值。藉此,可抑止虛擬圓柱離開填料區域,能提升填料之抽取效率。加權步驟(S25)係以越靠近虛擬圓柱之中心軸的位置之評估值越大的方式進行加權,例如以正比於自中心軸的距離之倒數的方式進行加權。藉由此種加權,可將處理加速,使得虛擬圓柱的中心軸較快靠近評估值高的部分。Fig. 17 shows still more other modifications of the above image processing method. The extraction step (#2) of the image processing method further includes an evaluation value subtraction step (S23), a penalty step (S24), and a weighting step (S25) after the evaluation value interpolation step (S22). The evaluation value subtraction step (S23) is to determine the value obtained by subtracting the predetermined threshold from the evaluation value as the evaluation value. The penalty step (S24) is a case where the evaluation value is negative, and the value obtained by multiplying the value by the predetermined positive number is determined as a new evaluation value. For example, when the evaluation value takes a negative value, the value obtained by multiplying the evaluation value by 10 times is set as the new evaluation value. Thereby, the virtual cylinder can be prevented from leaving the filler region, and the extraction efficiency of the filler can be improved. The weighting step (S25) is weighted in such a manner that the evaluation value of the position closer to the central axis of the virtual cylinder is larger, for example, in a manner proportional to the reciprocal of the distance from the central axis. With this weighting, the process can be accelerated so that the central axis of the virtual cylinder is closer to the portion where the evaluation value is higher.

圖18、圖19、圖20係顯示影像處理方法的更多其他變形例。此影像處理方法係採用配合形狀模型(虛擬圓柱M)的位置、姿勢、形狀的變化而改變位置的評估點,以取代前述方法中的固定於體素資料空間的評估點。以下考慮如圖18(a)所示,藉由參數的變動,將長度L0的虛擬圓柱M之端點P1移動至位置Px之情形。適配之評估係如圖18(b)所示,對於具有端點P1、P2的長度L之傾斜虛擬圓柱M進行。端點P1從原本的位置P0移動至位置Px。如圖18(b)(c)所示,評估點b,係以固定的間隔Δ1將垂直於虛擬圓柱M(形狀模型)之中心軸的圓盤B設定於端點P1、P2間,並於各圓盤B上配置設定成同心圓狀。圓盤B上的評估點b係於半徑R方向以固定的間隔Δ2、於圓周方向以固定的間隔Δ3進行配置。圖19係顯示將虛擬圓柱M分別對於高度、半徑、圓周方向細分割,並將評估點b設定至各分割點的模 樣。影像G6中的虛擬圓柱M周邊之灰色部分係代表具有閾值以上之資料值而形成候選區域的體素。18, 19, and 20 show still other modified examples of the image processing method. This image processing method uses an evaluation point that changes the position in accordance with the change in position, posture, and shape of the shape model (virtual cylinder M) to replace the evaluation point fixed in the voxel data space in the foregoing method. In the following, as shown in FIG. 18(a), the end point P1 of the virtual cylinder M of the length L0 is moved to the position Px by the variation of the parameter. The evaluation of the adaptation is performed as shown in Fig. 18(b) for the inclined virtual cylinder M having the length L of the end points P1, P2. End point P1 moves from the original position P0 to position Px. As shown in Fig. 18 (b) and (c), the evaluation point b is set between the end points P1 and P2 at a fixed interval Δ1 between the discs B perpendicular to the central axis of the virtual cylinder M (shape model). The arrangement of the discs B is set to be concentric. The evaluation points b on the disk B are arranged at a fixed interval Δ2 in the radius R direction at a fixed interval Δ3 in the circumferential direction. Fig. 19 is a view showing that the virtual cylinder M is finely divided for the height, the radius, and the circumferential direction, respectively, and the evaluation point b is set to each of the division points. kind. The gray portion around the virtual cylinder M in the image G6 represents a voxel having a threshold value or more and forming a candidate region.

參照圖20來說明此影像處理方法之抽取步驟(#2)。在模型設定步驟(S1)中,設定虛擬圓柱M的端點P1、P2的位置及半徑R之初始值。抽取主步驟(S2)為了抽取單一直線上的填料而重複步驟(S101~S110)。將模型設定步驟(S1)與抽取主步驟(S2)合稱為單一直線步驟(#21)。The extraction step (#2) of this image processing method will be described with reference to FIG. In the model setting step (S1), the positions of the end points P1, P2 of the virtual cylinder M and the initial values of the radius R are set. The extraction main step (S2) repeats the steps (S101 to S110) in order to extract the filler on a single straight line. The model setting step (S1) and the extraction main step (S2) are collectively referred to as a single straight line step (#21).

於抽取主步驟(S2)一開始,將端點P1設定給變數Pi(S101),以使端點P1的位置進行變動(S102)。將圓盤B等間隔地配置於端點P2與變動後的端點P1之間(S103),將評估點b(取樣點)同心圓狀地配置於各圓盤B(S104)。 圓盤B亦配置於端點P1、P2。評估點b因為係設定至虛擬圓柱M,所以相對於體素資料空間而言並非固定,而為任意配置。將根據體素之資料值而進行3重線性插補所求出的評估值給予各評估點b(S105)。累計虛擬圓柱M內的全部評估點b之評估值,並藉由該累計值來評估適配程度(S106)。At the beginning of the extraction main step (S2), the end point P1 is set to the variable Pi (S101) so that the position of the end point P1 is changed (S102). The discs B are arranged at equal intervals between the end point P2 and the changed end point P1 (S103), and the evaluation point b (sampling point) is concentrically arranged on each of the discs B (S104). Disc B is also disposed at endpoints P1, P2. Since the evaluation point b is set to the virtual cylinder M, it is not fixed with respect to the voxel data space, but is arbitrarily configured. The evaluation value obtained by performing the triple linear interpolation based on the data value of the voxel is given to each evaluation point b (S105). The evaluation values of all the evaluation points b in the virtual cylinder M are accumulated, and the degree of adaptation is evaluated by the accumulated value (S106).

對於端點P1之變動的評估結果,若蒙地卡羅法中的處理未進行收斂(S107、否),則重複自步驟(S102)起的處理。若處理進行收斂(S107、是),則經由步驟(S108),將端點P2設定給變數Pi(S109),並與端點P1之情形同樣對於端點P2進行步驟(S102~S107)。對於兩端點P1、P2之收斂均確認時(S108、是),為了進行收斂判斷,將步驟(S101)起的處理強制性重複至少1次。對於兩端點P1、P2之變動的評估的提昇判斷為已收斂時(S110、是),結束抽取主步驟(S2)。藉此,結束單一直線步驟(#21)。步驟(S3、S4)係與上述相同。As a result of the evaluation of the variation of the end point P1, if the processing in the Monte Carlo method does not converge (S107, NO), the processing from the step (S102) is repeated. When the processing is converged (S107, YES), the endpoint P2 is set to the variable Pi (S109) via the step (S108), and the step (S102 to S107) is performed for the endpoint P2 as in the case of the endpoint P1. When the convergence of both end points P1 and P2 is confirmed (S108, YES), the process from step (S101) is forcibly repeated at least once in order to perform convergence determination. When the improvement of the evaluation of the fluctuation of the both end points P1 and P2 is judged to have been converged (S110, YES), the main extraction step (S2) is ended. Thereby, the single straight step (#21) is ended. The steps (S3, S4) are the same as described above.

藉由採用上述圓盤B上配置成同心圓狀的評估點b,可在虛擬圓柱M的外形邊界部分有效利用形狀模型亦即虛擬圓柱M所含的資訊,而不缺漏。上述步驟(S106)中的適配程度之評估可採用上述圖17中的評估值減去步驟(S23)、罰算步驟(S24)、加權步驟(S25)之手法。By using the evaluation point b arranged on the disc B as a concentric shape, the information contained in the shape model, that is, the virtual cylinder M can be effectively utilized in the outer boundary portion of the virtual cylinder M without missing. The evaluation of the degree of adaptation in the above step (S106) may employ the method of subtracting the step (S23), the penalty step (S24), and the weighting step (S25) from the evaluation value in Fig. 17 described above.

圖21至圖28係顯示影像處理方法的更多其他變形例。此影像處理方法係採用可對應於彎曲之填料的形狀模型。如圖21的影像G7所示,有時複合材料中的纖維狀填料之三維影像中產生有彎曲的填料F。此係為了複合材料之強度提昇而使得纖維狀填料的長纖維化,結果填料變得更容易彎曲。如圖22的影像G8所示,對於此種彎曲的填料進行利用虛擬圓柱M之適配時,會獲得截斷成多數短的虛擬圓柱M之結果。所以,採用以多數之控制點所定義的雲形曲線為中心軸之固定半徑的虛擬管(空心管),作為可對應於彎曲之填料的形狀模型。21 to 28 show still other modified examples of the image processing method. This image processing method employs a shape model that can correspond to a curved filler. As shown in the image G7 of Fig. 21, a curved filler F is sometimes generated in the three-dimensional image of the fibrous filler in the composite material. This is because the strength of the composite material is increased to cause long fiberization of the fibrous filler, and as a result, the filler becomes more easily bent. As shown in the image G8 of Fig. 22, when the curved filler is adapted by the virtual cylinder M, the result of cutting into the short virtual cylinder M is obtained. Therefore, a virtual tube (hollow tube) having a fixed radius of the central axis as a central axis defined by a plurality of control points is used as a shape model that can correspond to the curved filler.

如圖23所示,此影像處理方法的抽取步驟(#2)包含將模型設定步驟(S1)與抽取主步驟(S2)合併的單一曲線步驟(#22),以及其後的步驟(S3、S4)。在模型設定步驟(S1)中,將n個控制點{Ci:i=1,...,n),C1=P1,Cn=P2等間隔地配置於端點P1、P2間,並設定直線狀的雲形曲線作為初始值。將半徑R附加至此雲形曲線,設定以雲形曲線為中心軸的固定半徑R之虛擬管MP。雲形曲線係以任意多項式來連接控制點間的曲線,所以,該曲線係必定通過控制點的曲線或直線。As shown in FIG. 23, the extraction step (#2) of the image processing method includes a single curve step (#22) combining the model setting step (S1) and the extraction main step (S2), and the subsequent step (S3, S4). In the model setting step (S1), n control points {Ci:i=1, . . . , n), C1=P1, and Cn=P2 are arranged at equal intervals between the end points P1 and P2, and a straight line is set. A cloud-shaped curve is used as an initial value. A radius R is attached to the cloud curve, and a virtual tube MP having a fixed radius R centered on the cloud curve is set. The cloud-shaped curve connects the curve between the control points with an arbitrary polynomial, so the curve must pass the curve or straight line of the control point.

在抽取主步驟(S2)中,將全控制點Ci等間隔地重新配置於雲形曲線上(S200),定為變數i=1(S201),使端點P1=C1的位置進行變動(S202)。圖24(a)顯示有具有雲形曲線Sp與控制點{Ci:i=1,...,n}的虛擬管MP。並顯示控制點C1(端點P1)的位置受到移動的模樣。另,圖24(b)係顯示控制點C1進行移動之後,藉由步驟(S200)將全控制點Ci等間隔地重新配置在雲形曲線Sp上的模樣。In the main extraction step (S2), the full control points Ci are rearranged at equal intervals on the cloud curve (S200), and the variable i=1 is set (S201), and the position of the end point P1=C1 is changed (S202). . Fig. 24(a) shows a virtual pipe MP having a cloud curve Sp and a control point {Ci: i = 1, ..., n}. It also shows that the position of the control point C1 (end point P1) is moved. In addition, FIG. 24(b) shows a pattern in which the control points C1 are moved, and the full control points Ci are rearranged on the cloud curve Sp at equal intervals by the step (S200).

在上述步驟(S202)進行的控制點C1(一般化後控制點Ci)之位置變動後,如圖25(a)所示,沿著雲形曲線Sp亦即虛擬管之中心軸,將圓盤B等間隔地配置成垂直於該中心軸(S203)。如圖25(b)所示,將評估點b同心圓狀地配置於各圓盤B(S204)。此圓盤B之配置間隔的設定或圓盤B上的評估點之配置只要採用與上述圖18(b)(c)所示的Δ1、Δ2、Δ3同樣之值來進行級可。因為評估點b係設定於虛擬管MP,所以相對於體素資料空間而言並 非固定,而為任意配置。After the position of the control point C1 (the post-generalization control point Ci) performed in the above step (S202) is changed, as shown in FIG. 25(a), the disk B is placed along the cloud-shaped curve Sp, that is, the central axis of the virtual tube. They are arranged at equal intervals perpendicular to the central axis (S203). As shown in FIG. 25(b), the evaluation point b is arranged concentrically on each of the disks B (S204). The setting of the arrangement interval of the disk B or the arrangement of the evaluation points on the disk B can be performed by using the same values as Δ1, Δ2, and Δ3 shown in Fig. 18 (b) and (c) above. Because the evaluation point b is set in the virtual tube MP, it is relative to the voxel data space. Not fixed, but arbitrary configuration.

將根據體素的資料值以3重線性插補求出的評估值給予各評估點b(S205)。累計虛擬管MP內全部評估點b的評估值,並藉由該累計值來評估適配程度(S206)。對於單一控制點Ci之變動的評估結果,若蒙地卡羅法中的處理未進行收斂(S207、否),則重複進行自步驟(S202)起的處理。若處理進行收斂(S207、是),則經過步驟(S208),將變數i定為i=i+1(S209),並對於下一控制點Ci同樣地進行上述步驟(S202~S207)。The evaluation value obtained by the 3-fold linear interpolation based on the data value of the voxel is given to each evaluation point b (S205). The evaluation value of all the evaluation points b in the virtual tube MP is accumulated, and the degree of adaptation is evaluated by the accumulated value (S206). As a result of the evaluation of the fluctuation of the single control point Ci, if the processing in the Monte Carlo method does not converge (S207, NO), the processing from the step (S202) is repeated. When the process is converged (S207, YES), the process proceeds to step (S208), the variable i is set to i=i+1 (S209), and the above-described steps (S202 to S207) are performed in the same manner for the next control point Ci.

對於全控制點C1~Cn之收斂均確認時(S108、是),為了進行收斂判斷,強制性重複自步驟(S201)起的處理至少1次。判斷維對於兩端點P1、P2之變動的評估提昇已收斂時(S210、是),結束抽取主步驟(S2)。藉此結束單一曲線步驟(#22)。步驟(S3、S4)係與上述相同樣。圖26的影像G9係顯示將評估點b設定於虛擬管MP的狀態。圖27的影像G10係顯示採用虛擬管MP之適配途中的狀態。When the convergence of all the control points C1 to Cn is confirmed (S108, YES), the process from the step (S201) is forcibly repeated at least once in order to perform the convergence determination. When the evaluation dimension has been converged for the evaluation of the change of the end points P1 and P2 (S210, YES), the main extraction step (S2) is ended. This ends the single curve step (#22). The steps (S3, S4) are the same as those described above. The image G9 of Fig. 26 shows a state in which the evaluation point b is set to the virtual tube MP. The image G10 of Fig. 27 shows the state in the middle of the adaptation using the virtual tube MP.

上述中,亦可將控制點Ci的數量n定為可變。例如,只要最初定為n=2,亦即訂為虛擬圓柱M,並於重新配置控制點Ci的步驟(S200~S208)之時序增加n即可。又,上述中,控制點{Ci:i=1,...,n}係如圖28(a)所示,依照其排列順序,從控制點C1起進行位置變動,於全體進行重複時亦同樣從控制點C1起進行位置變動。相對於此,亦可如圖28(b)所示,從控制點C1起進行位置變動,在全體進行重複時反向從控制點Cn起進行位置變動。 又,亦可如圖28(c)所示,從控制點{Ci:i=1,...,n}的兩端起,交互進行控制點Ci之位置變動。控制點Ci的位置變動之順序可任意選擇,例如為了使得變動量較大之處先進行變動藉以早期進行收斂。In the above, the number n of the control points Ci may be made variable. For example, as long as n=2 is initially determined, that is, it is set as the virtual cylinder M, and n is added to the timing of the steps (S200 to S208) of reconfiguring the control point Ci. Further, in the above, the control points {Ci:i=1, . . . , n} are as shown in FIG. 28(a), and the positional change is performed from the control point C1 in accordance with the arrangement order, and is also repeated when the whole is repeated. The position change is also performed from the control point C1. On the other hand, as shown in FIG. 28(b), the positional fluctuation may be performed from the control point C1, and the positional change may be reversed from the control point Cn when the entire repetition is performed. Further, as shown in FIG. 28(c), the positional change of the control point Ci may be alternately performed from both ends of the control point {Ci:i=1, . . . , n}. The order of the positional change of the control point Ci can be arbitrarily selected. For example, in order to make the fluctuation amount larger, the fluctuation is performed first, and the convergence is performed early.

圖29、圖30顯示影像處理方法的更多其他變形例。此影像處理方法係如圖29所示組合以下步驟:上述圖20所示的單一直線步驟(#21);圖23所示的單一曲線步驟(#22);以及其後之新的判定步驟(#23)。亦即,此影像處理方法係進行利用虛擬圓柱M之對於單一填料的適配(#21),並採用將決定 的虛擬圓柱M之兩端點P1、P2定為端點的虛擬管MP來進行對於單一填料的適配(#22)。其後,在判定步驟(#23)中,將單一直線步驟(#21)所致的評估結果、以及單一曲線步驟(#22)所致的評估結果加以比較(S30)。比較的結果,若利用虛擬管MP之評估改善既定比例,例如10%以上時(S30、是),採用利用虛擬管MP之適配結果(S31),否則(S30、否),採用利用虛擬圓柱M之結果(S32)。29 and 30 show still other modifications of the image processing method. This image processing method combines the following steps as shown in FIG. 29: the single straight line step (#21) shown in FIG. 20; the single curve step (#22) shown in FIG. 23; and the subsequent new determination step ( #twenty three). That is, this image processing method performs the adaptation of the virtual cylinder M to a single filler (#21), and the adoption will determine The two ends P1, P2 of the virtual cylinder M are defined as the virtual tube MP of the end point for adaptation to a single filler (#22). Thereafter, in the determination step (#23), the evaluation result by the single straight line step (#21) and the evaluation result by the single curve step (#22) are compared (S30). As a result of the comparison, if the predetermined ratio is improved by the evaluation of the virtual pipe MP, for example, 10% or more (S30, YES), the adaptation result using the virtual pipe MP (S31) is adopted, otherwise (S30, No), the virtual cylinder is used. The result of M (S32).

以下參照圖30(a)~(h)說明上述的處理具體例。如圖30(a)所示,設想藉由直線狀的形狀模型即虛擬圓柱M來進行適配時,係以4個虛擬圓柱M進行適配之彎曲的1條填料。對於彎曲的填料的全長藉由單一直線步驟(#21)來抽取短的虛擬圓柱M。如圖30(b)所示,對於抽取的虛擬圓柱M,藉由單一曲線步驟(#22)設定直線狀的雲形曲線Sp,並使位於端點P1的控制點C1之位置進行變動。如圖30(c)所示,每次控制點C1的位置進行變動,即進行控制點Ci的重新配置與適配的評估,再者使控制點C1的位置進行變動。如圖30(d)所示,控制點C1的位置到達填料的端部時,控制點C1的位置變動進行收斂。Specific examples of the above processing will be described below with reference to Figs. 30(a) to (h). As shown in Fig. 30 (a), when the adaptation is performed by the linear shape model, that is, the virtual cylinder M, one of the fillers is bent by the four virtual cylinders M. The short virtual cylinder M is extracted by the single straight step (#21) for the full length of the curved filler. As shown in FIG. 30(b), for the extracted virtual cylinder M, the linear cloud curve Sp is set by a single curve step (#22), and the position of the control point C1 at the end point P1 is changed. As shown in FIG. 30(c), the position of the control point C1 is changed every time, that is, the rearrangement of the control point Ci and the evaluation of the adaptation are performed, and the position of the control point C1 is changed. As shown in FIG. 30(d), when the position of the control point C1 reaches the end of the filler, the positional change of the control point C1 converges.

其後,如圖30(e)~(g)所示,以控制點C2,C3,...,Cn的順序進行位置變動與評估,當控制點Cn的位置到達填料的另一端部時,控制點Cn的位置變動進行收斂。其後,再度從控制點C1起依序到控制點Cn為止進行位置變動與評估,依據評估提升的變化程度來確認對於1條填料的抽取之收斂。其結果,如圖30(h)所示,決定對於彎曲的1條填料之虛擬管MP。Thereafter, as shown in FIGS. 30(e) to (g), positional variation and evaluation are performed in the order of control points C2, C3, ..., Cn, and when the position of the control point Cn reaches the other end of the filler, The positional change of the control point Cn converges. Thereafter, the positional change and evaluation are performed from the control point C1 to the control point Cn, and the convergence of the extraction of one filler is confirmed based on the degree of change in the evaluation. As a result, as shown in FIG. 30(h), the dummy tube MP for one of the bent fillers is determined.

圖31係顯示一實施形態之複合材料中的纖維狀填料之三維影像處理裝置(以下稱為影像處理裝置2)。影像處理裝置2包含:區域選出部11;模型設定部12;抽取主體部13;資料輸入部14;操作部15;顯示部16;以及加以控制的控制部10;且從基材含入纖維狀填料的複合材料之三維影像中抽取填料之配向資訊。三維影像係從資料輸入部14輸入。控制部10係以電腦來構成,區域選出部11、模型設定部12以及抽取主體部13係以在電腦上進行動作的程式來構成。資料輸入部14,操作部15,及顯示部16係 由通常電腦所備的USB埠、DVD播放器、硬碟、鍵盤、滑鼠、指向設備、平坦面板顯示器等設備所構成。Fig. 31 is a view showing a three-dimensional image processing apparatus (hereinafter referred to as image processing apparatus 2) for fibrous filler in the composite material of the embodiment. The image processing device 2 includes a region selection unit 11 , a model setting unit 12 , an extraction main body unit 13 , a data input unit 14 , an operation unit 15 , a display unit 16 , and a control unit 10 that is controlled, and contains a fibrous material from a substrate. The alignment information of the filler is extracted from the three-dimensional image of the composite material of the filler. The three-dimensional image is input from the material input unit 14. The control unit 10 is constituted by a computer, and the area selecting unit 11, the model setting unit 12, and the extraction main unit 13 are configured by a program that operates on a computer. The data input unit 14, the operation unit 15, and the display unit 16 It consists of a USB 埠, DVD player, hard disk, keyboard, mouse, pointing device, flat panel display, etc., which are usually provided by computers.

區域選出部11係於複合材料之三維影像中選出含有推定為代表填料的區域之區域的候選區域並進行設定。模型設定部12對於區域選出部11所設定的候選區域,設定具有分別使得形狀與配置改變的參數而重現填料之形狀的形狀模型。抽取主體部13係藉由隨機性改變模型設定部12所設定的形狀模型之參數,根據蒙地卡羅法將形狀模型適配至候選區域。抽取主體部13抽取該適配的形狀模型之形狀與配置來作為填料的配向資訊。控制部10在三維影像中的填料抽取完畢之前,反覆進行模型設定部12與抽取主體部13的動作。區域選出部11、模型設定部12、抽取主體部13及資料輸入部14係執行上述圖2中的區域選出步驟(#1)、模型設定步驟(S1)、抽取主步驟(S2)及資料輸入步驟(#0)的各處理。又,影像處理裝置2不限於圖1、圖2之流程圖所說明的處理,亦可進行其他流程圖所說明的處理。The area selecting unit 11 selects and sets a candidate area including a region estimated to be a region representing the filler from the three-dimensional image of the composite material. The model setting unit 12 sets a shape model having parameters for changing the shape and arrangement to reproduce the shape of the filler, for the candidate regions set by the region selecting unit 11. The extracted body portion 13 adapts the shape model to the candidate region according to the Monte Carlo method by the parameters of the shape model set by the randomness model setting unit 12. The extraction body portion 13 extracts the shape and configuration of the adapted shape model as alignment information for the filler. The control unit 10 repeatedly performs the operations of the model setting unit 12 and the extraction main body unit 13 before the filling of the filler in the three-dimensional image is completed. The area selection unit 11, the model setting unit 12, the extraction main unit 13 and the data input unit 14 execute the area selection step (#1), the model setting step (S1), the extraction main step (S2), and the data input in Fig. 2 described above. Each process of step (#0). Further, the video processing device 2 is not limited to the processing described in the flowcharts of FIGS. 1 and 2, and the processing described in the other flowcharts may be performed.

(實施例)(Example)

圖32、圖33係顯示實施例。圖32係顯示對於圖3(b)所示的複合材料C,採用本影像處理方法及影像處理裝置來抽取的纖維狀填料的三維影像G11。複合材料C(供試材料)係上述圖3(a)所示的,從具有外形長度17.8×寬度1.83×高度0.4mm,開口部長度16.5mm,底面部厚度0.12mm,側面厚度0.163mm之各尺寸的箱形纖薄射出成形品1之中央部切出者。複合材料C係添加平均纖維長88μm的玻璃纖維作為填料之超耐熱性的I型液晶聚合物,成形係採用最大鎖模力(clamping force)196kN的預塑式射出成形機。32 and 33 show an embodiment. Fig. 32 is a view showing a three-dimensional image G11 of the fibrous filler extracted by the image processing method and the image processing apparatus for the composite material C shown in Fig. 3(b). The composite material C (test material) is as shown in Fig. 3(a) above, and has an outer shape length of 17.8, a width of 1.83, a height of 0.4 mm, an opening length of 16.5 mm, a bottom portion thickness of 0.12 mm, and a side surface thickness of 0.163 mm. The central portion of the box-shaped slim injection molded article 1 is cut out. The composite material C was a type I liquid crystal polymer in which a glass fiber having an average fiber length of 88 μm was added as a superheat resistance of the filler, and the molding system was a premolded injection molding machine having a maximum clamping force of 196 kN.

利用X光電腦斷層掃描之三維影像係從採用微焦X光電腦斷層掃描來拍攝的成形品之斷層影像資料中重建。重建的影像係於上述圖4顯示作為三維影像G1,可目視確認L字型的成形品形狀以及內部的玻璃纖維之存在。三維影像資料的大小係300×348×200體素,1體素的1邊之實際尺寸約3μm。在此實施例中,採用虛擬圓柱作為形狀模型來進行抽取。已知玻璃纖維的直徑為10μm。所以,就虛擬圓柱參數而言,僅將兩端點的三維座標 (3×2=6自由度)藉由蒙地卡羅法加以改變來最佳化。適合度(適配程度)的評估係藉由採用圖18、圖19所示評估點b(取樣點)的方法來進行。The three-dimensional image using the X-ray computed tomography is reconstructed from the tomographic image data of the molded article taken by the micro-focus X-ray computed tomography. The reconstructed image is shown in FIG. 4 as the three-dimensional image G1, and the shape of the L-shaped molded article and the presence of the glass fiber inside can be visually confirmed. The size of the three-dimensional image data is 300×348×200 voxels, and the actual size of one side of one voxel is about 3 μm. In this embodiment, the virtual cylinder is used as the shape model for extraction. The glass fiber is known to have a diameter of 10 μm. So, in terms of virtual cylinder parameters, only the three-dimensional coordinates of the two ends (3 × 2 = 6 degrees of freedom) is optimized by Monte Carlo method. The evaluation of the suitability (degree of fit) is performed by using the evaluation point b (sampling point) shown in Figs. 18 and 19.

圖33係採用本影像處理方法及影像處理裝置來抽取的填料之纖維長度分布之實施例,並將實測的填料之纖維長度分布一起顯示作為比較例。比較例之實測值係燃燒供試材料的樹脂部分而僅抽取玻璃纖維,並實測其長度而獲得者。實施例與比較例兩者的纖維長分布顯示出良好一致。又,例如,在取得最大頻度的60~80μm之長條,在實施例中係22.2%,在比較例中係27.0%,其差異止於4.8%。又,藉由採用本影像處理方法及影像處理裝置的實施例,能以非破壞的方式抽取填料之配向資訊,而不破壞供試材料。在此僅顯示抽取填料的配向資訊之際所獲得的填料之纖維長度分布,但複合材料C(供試材料)中的填料之配向或配向度的分布可從各個填料的配向資訊中,直接、定量地算出。Fig. 33 is an example of the fiber length distribution of the filler extracted by the image processing method and the image processing apparatus, and the measured fiber length distribution of the filler is shown as a comparative example. The measured value of the comparative example was obtained by burning the resin portion of the test material and extracting only the glass fiber, and measuring the length thereof. The fiber length distribution of both the examples and the comparative examples showed good agreement. Further, for example, in the case of obtaining a maximum frequency of 60 to 80 μm, it is 22.2% in the embodiment, and in the comparative example, it is 27.0%, and the difference is limited to 4.8%. Moreover, by adopting the embodiment of the image processing method and the image processing apparatus, the alignment information of the filler can be extracted in a non-destructive manner without damaging the test material. Here, only the fiber length distribution of the filler obtained when extracting the alignment information of the filler is shown, but the distribution of the orientation or orientation of the filler in the composite material C (test material) can be directly from the alignment information of each filler. Calculated quantitatively.

另,本發明不限於上述構成,可進行各種變形。例如,可定為將上述各實施形態及變形例之構成互相組合的構成,又,亦可適當更換各步驟的順序。例如,亦可定為具有評估點設定步驟(S21)係於區域選出步驟(#1)之後,且係於模型設定步驟(S1)之前的構成。此時,評估點(取樣點)只要設定為例如將體素細分化的各分割點即可,可定為固定於三維影像空間的評估點而不仰賴形狀模型。又,評估值減去步驟(S23)、罰算步驟(S24)、以及加權步驟(S25)亦可應用於不使用評估點之情形,亦即將體素之資料值定為評估值之情形。Further, the present invention is not limited to the above configuration, and various modifications can be made. For example, the configuration of the above-described respective embodiments and modifications may be combined with each other, and the order of each step may be appropriately changed. For example, it is also possible to have a configuration in which the evaluation point setting step (S21) is after the area selection step (#1) and before the model setting step (S1). In this case, the evaluation point (sampling point) may be set to, for example, each division point in which the voxel is subdivided, and may be fixed to the evaluation point of the three-dimensional image space without depending on the shape model. Further, the evaluation value subtraction step (S23), the penalty step (S24), and the weighting step (S25) can also be applied to the case where the evaluation point is not used, that is, the case where the voxel data value is determined as the evaluation value.

又,當三維影像的解析度較高,體素的尺寸充分小於形狀模型(填料)的尺寸時,不必設定評估點(取樣點),反而可定為具有整合體素之步驟的構成。例如,只要將4個體素定為以其資料值之平均值作為新資料值的1個大體素即可。三維影像的資料不限於利用X光電腦斷層掃描之資料,可採用利用任意之三維影像取得機構之資料。例如,可採用MRI影像資料,又,透明樹脂之情形可以採用光學性CT影像資料。又,此等資料形態不限於體素,可以採用任意形狀的立體像素。Further, when the resolution of the three-dimensional image is high and the size of the voxel is sufficiently smaller than the size of the shape model (filler), it is not necessary to set the evaluation point (sampling point), but instead it can be configured as a step of integrating the voxels. For example, it is sufficient to set 4 individuals as one large voxel with the average value of their data values as the new data value. The data of the three-dimensional image is not limited to the data using the X-ray computed tomography, and the data of the acquisition mechanism using any three-dimensional image can be used. For example, MRI image data can be used, and in the case of a transparent resin, optical CT image data can be used. Moreover, these data forms are not limited to voxels, and stereoscopic pixels of arbitrary shapes may be employed.

#0‧‧‧資料輸入步驟#0‧‧‧Data input steps

#1‧‧‧區域選出步驟#1‧‧‧Regional selection steps

#2‧‧‧抽取步驟#2‧‧‧ Extraction steps

S1‧‧‧模型設定步驟S1‧‧‧Model setting steps

S2‧‧‧抽取主步驟S2‧‧‧ extraction main steps

S3、S4‧‧‧反覆處理步驟S3, S4‧‧‧Repeat processing steps

Claims (17)

一種複合材料中的纖維狀填料之三維影像處理方法,係從基材含入纖維狀填料的複合材料之三維影像中抽取該填料之配向資訊,其特徵在於包含以下步驟:區域選出步驟,藉由參照既定閾值而從該複合材料之三維影像中選出推定為含有代表填料之像素的候選區域;以及抽取步驟,採用隨機性改變「使填料的形狀模型之形狀與配置變化之參數」的蒙地卡羅法,將該形狀模型適配至該區域選出步驟所選出的候選區域,以抽取填料之配向資訊。A three-dimensional image processing method for a fibrous filler in a composite material, wherein the alignment information of the filler is extracted from a three-dimensional image of a composite material containing a fibrous filler, and the method comprises the following steps: a region selection step, by Selecting a candidate region estimated to be a pixel containing the representative filler from the three-dimensional image of the composite material with reference to a predetermined threshold; and extracting the Monte Carlo having a random change "parameter for changing the shape and configuration of the shape model of the filler" Luofa, the shape model is adapted to the candidate region selected in the selection step of the region to extract the alignment information of the filler. 如申請專利範圍第1項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟在從該候選區域中抽取1條填料的配向資訊之後,去除有關該抽取的區域,並對於去除後的候選區域重複進行利用該蒙地卡羅法之抽取。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 1, wherein the extracting step removes the region related to the extraction after extracting the alignment information of the filler from the candidate region, and The candidate region after the removal is repeatedly subjected to extraction using the Monte Carlo method. 如申請專利範圍第1項之複合材料中的纖維狀填料之三維影像處理方法,其具有:資料輸入步驟,將該三維影像輸入作為體素資料;且該體素資料係藉由複合材料的X光電腦斷層掃描來取得,該體素資料的各體素係具有根據X光強度值之值來作為資料值。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 1, comprising: a data input step of inputting the three-dimensional image as voxel data; and the voxel data is by a composite material X Obtained by optical computed tomography, each voxel of the voxel data has a value based on the value of the X-ray intensity value. 如申請專利範圍第3項之複合材料中的纖維狀填料之三維影像處理方法,其中,該資料輸入步驟包含:插補步驟,構成新體素資料,該新體素資料具有將該資料值在各體素間進行線性插補之值作為資料值的體素。The method for processing a fibrous filler according to the third aspect of the patent application, wherein the data input step comprises: an interpolation step to form a new voxel data, the new voxel data having the data value The value of linear interpolation between voxels is used as a voxel of the data value. 如申請專利範圍第3項之複合材料中的纖維狀填料之三維影像處理方法,其中,該區域選出步驟係將該體素的資料值與根據X光強度值的既定閾值加以比較,將具有比該閾值更大之資料值的體素之集合定為候選區域。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 3, wherein the region selection step compares the data value of the voxel with a predetermined threshold value according to the X-ray intensity value, and has a ratio The set of voxels of the larger threshold value is defined as the candidate region. 如申請專利範圍第5項之複合材料中的纖維狀填料之三維影像處理方法,其中,從屬於該候選區域的體素中,產生以互相鄰接的體素所形成的群,並將該產生的各個群分別定為新的候選區域。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 5, wherein a group formed of voxels adjacent to each other is generated from voxels belonging to the candidate region, and the resulting Each group is designated as a new candidate area. 如申請專利範圍第3項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟係採用虛擬圓柱作為該形狀模型,在該候選區域內改變代表該虛擬圓柱的形狀與配置之參數,並藉由根據該虛擬圓柱所含 的體素之資料值的評估值之累計值,來評估該虛擬圓柱與該候選區域的適配程度。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 3, wherein the extracting step adopts a virtual cylinder as the shape model, and changes the shape and configuration of the virtual cylinder in the candidate region. Parameters, and by containing according to the virtual cylinder The cumulative value of the evaluation value of the voxel data value is used to evaluate the degree of adaptation of the virtual cylinder to the candidate region. 如申請專利範圍第7項之複合材料中之纖維狀填料之三維影像處理方法,其中,該抽取步驟在進行利用該虛擬圓柱的適配之後,採用將多數之控制點所定義的雲形曲線(spline)定為中心軸的虛擬管來作為該形狀模型,在該候選區域內隨機性改變該控制點之座標來作為參數,評估該虛擬管與該候選區域的適配程度,在利用該虛擬管的評估比起利用該虛擬圓柱的評估改善既定比例以上之情形,採用利用該虛擬管的適配,否則採用利用該虛擬圓柱的適配,以抽取填料之配向資訊。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 7, wherein the extracting step adopts a cloud curve (spline) defined by a plurality of control points after performing adaptation using the virtual cylinder a virtual tube defined as a central axis as the shape model, in which the coordinates of the control point are randomly changed as parameters, and the degree of adaptation of the virtual tube to the candidate area is evaluated, and the virtual tube is utilized. The evaluation uses the adaptation of the virtual tube compared to the case where the evaluation of the virtual cylinder is used to improve the predetermined ratio. Otherwise, the adaptation of the virtual cylinder is used to extract the alignment information of the filler. 如申請專利範圍第3項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟採用將多數之控制點所定義的雲形曲線定為中心軸的虛擬管來作為該形狀模型,在該候選區域內隨機性改變該控制點之座標來作為參數,並藉由根據該虛擬管所含的體素之資料值的評估值之累計值來評估該虛擬管與該候選區域的適配程度。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 3, wherein the extracting step uses a virtual tube in which a cloud curve defined by a plurality of control points is defined as a central axis as the shape model. The coordinates of the control point are randomly changed in the candidate region as a parameter, and the adaptation of the virtual tube to the candidate region is evaluated by the cumulative value of the evaluation value of the data value of the voxel contained in the virtual tube. degree. 如申請專利範圍第8或9項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟係對於該雲形曲線的該多數之控制點,依序逐次1個隨機性改變座標,每次改變該1個控制點時,決定該雲形曲線並評估該適配程度,並於改變下一控制點之前,在該決定的雲形曲線上將該全部的控制點重新配置成等間隔。The three-dimensional image processing method of the fibrous filler in the composite material of claim 8 or 9, wherein the extracting step sequentially changes the coordinates of the random majority of the control points of the cloud curve. Each time the one control point is changed, the cloud curve is determined and the degree of adaptation is evaluated, and all control points are reconfigured to be equally spaced on the determined cloud curve before changing the next control point. 如申請專利範圍第7或9項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟係以該體素之尺寸以下的間隔將評估點設定於該形狀模型內,並將根據體素之資料值的評估值給予該評估點,藉由給予該評估點的評估值之累計值來評估該適配程度。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 7 or 9, wherein the extracting step sets an evaluation point within the shape model at intervals below the size of the voxel, and The evaluation point is given based on the evaluation value of the voxel data value, and the degree of adaptation is evaluated by giving the cumulative value of the evaluation value of the evaluation point. 如申請專利範圍第11項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟係將該評估點同心圓狀地配置在垂直於該形狀模型之中心軸的面。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 11, wherein the extracting step concentrically arranges the evaluation point on a plane perpendicular to a central axis of the shape model. 如申請專利範圍第11項之複合材料中的纖維狀填料之三維影像處理方法,其中,給予該評估點的評估值係定為採用該體素之資料值來進行線性插補而獲得的值。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 11, wherein the evaluation value given to the evaluation point is a value obtained by linearly interpolating using the data value of the voxel. 如申請專利範圍第7或9項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟係採用從該評估值中減去閾值後之值作為新的評估值。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 7 or 9, wherein the extraction step uses a value obtained by subtracting a threshold from the evaluation value as a new evaluation value. 如申請專利範圍第14項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟於該新的評估值為負值之情形,採用將該值乘以既定正數後之值作為新的評估值。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 14, wherein the extraction step is performed by multiplying the value by a predetermined positive value when the new evaluation value is a negative value. New evaluation value. 如申請專利範圍第7或9項之複合材料中的纖維狀填料之三維影像處理方法,其中,該抽取步驟係以越靠近於該形狀模型之中心軸的位置之評估值越大的方式進行加權來算出該累計值。A three-dimensional image processing method for a fibrous filler in a composite material according to claim 7 or 9, wherein the extracting step is performed in such a manner that an evaluation value closer to a position of a central axis of the shape model is larger To calculate the accumulated value. 一種複合材料中的纖維狀填料之三維影像處理裝置,係從基材含入纖維狀填料的複合材料之三維影像中抽取該填料之配向資訊,其特徵在於包含:區域選出機構,藉由參照既定閾值而從該複合材料之三維影像中選出推定為含有代表填料之像素的候選區域;以及抽取機構,採用隨機性改變「使填料的形狀模型之形狀與配置變化之參數」的蒙地卡羅法,將該形狀模型適配至該區域選出機構所選出的候選區域,以抽取填料之配向資訊。A three-dimensional image processing device for a fibrous filler in a composite material, wherein the alignment information of the filler is extracted from a three-dimensional image of a composite material containing a fibrous filler in a substrate, and is characterized by: a region selection mechanism, which is defined by reference a candidate region selected as a pixel containing the representative filler from the three-dimensional image of the composite material; and an extraction mechanism for Monte Carlo method of changing the parameter of the shape and configuration of the shape model of the filler by randomness And adapting the shape model to the candidate region selected by the region selection mechanism to extract the alignment information of the filler.
TW102142340A 2012-11-21 2013-11-20 Three dimensional image processing method and three dimensional image processing device for fibrous fillers in composite materials TWI497063B (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP2012255658 2012-11-21

Publications (2)

Publication Number Publication Date
TW201425919A TW201425919A (en) 2014-07-01
TWI497063B true TWI497063B (en) 2015-08-21

Family

ID=50775817

Family Applications (1)

Application Number Title Priority Date Filing Date
TW102142340A TWI497063B (en) 2012-11-21 2013-11-20 Three dimensional image processing method and three dimensional image processing device for fibrous fillers in composite materials

Country Status (3)

Country Link
JP (1) JP5844921B2 (en)
TW (1) TWI497063B (en)
WO (1) WO2014080622A1 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI706121B (en) * 2018-11-29 2020-10-01 財團法人工業技術研究院 Fiber three-dimensional measuring device and method thereof

Families Citing this family (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP6118698B2 (en) 2013-09-30 2017-04-19 株式会社Ihi Image analysis apparatus and program
JP6634769B2 (en) * 2015-10-02 2020-01-22 富士通株式会社 Voxel processing method, voxel processing program and information processing apparatus
JP6681221B2 (en) * 2016-03-03 2020-04-15 株式会社Ihi Structure analysis device, structure analysis method, and three-dimensional woven fiber material manufacturing method
DE102017209346A1 (en) * 2017-06-01 2019-01-10 Robert Bosch Gmbh Method and device for creating a lane-accurate road map
JP6939101B2 (en) * 2017-06-06 2021-09-22 富士フイルムビジネスイノベーション株式会社 Path data generation device for 3D modeling and route data generation program for 3D modeling
JP7306528B2 (en) * 2018-04-12 2023-07-11 コニカミノルタ株式会社 Control device, display method and inspection method
JP7356365B2 (en) * 2020-01-30 2023-10-04 ポリプラスチックス株式会社 Inspection method and system for undefibrated filler in pellets containing fibrous filler
JP7425423B2 (en) 2020-08-18 2024-01-31 株式会社Ihi System for evaluating fiber bundle distribution in fiber reinforced materials
CN112164134B (en) * 2020-09-28 2024-03-22 华南理工大学 Random curve modeling method based on image processing
CN116128957B (en) * 2023-04-20 2023-06-30 博志生物科技(深圳)有限公司 Vertebral bone cavity analysis method, device, equipment and storage medium

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1168069C (en) * 1997-03-25 2004-09-22 英国国防部 Recognition system
US20080004517A1 (en) * 2006-03-29 2008-01-03 University Of Georgia Research Foundation, Inc. Virtual Surgical Systems and Methods
US20080008369A1 (en) * 2006-05-18 2008-01-10 Sergei Koptenko Methods and systems for segmentation using boundary reparameterization
US20080119721A1 (en) * 2006-11-22 2008-05-22 Kabushiki Kaisha Toshiba Magnetic resonance imaging apparatus

Family Cites Families (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2971432B2 (en) * 1998-03-13 1999-11-08 川崎重工業株式会社 Inspection method of fiber reinforced plastic structure
JP2008122178A (en) * 2006-11-10 2008-05-29 Toray Ind Inc Method of inspecting stacked state of laminate
JP5475561B2 (en) * 2010-06-14 2014-04-16 ポリプラスチックス株式会社 Filler orientation analysis method

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1168069C (en) * 1997-03-25 2004-09-22 英国国防部 Recognition system
US20080004517A1 (en) * 2006-03-29 2008-01-03 University Of Georgia Research Foundation, Inc. Virtual Surgical Systems and Methods
US20080008369A1 (en) * 2006-05-18 2008-01-10 Sergei Koptenko Methods and systems for segmentation using boundary reparameterization
US20080119721A1 (en) * 2006-11-22 2008-05-22 Kabushiki Kaisha Toshiba Magnetic resonance imaging apparatus

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI706121B (en) * 2018-11-29 2020-10-01 財團法人工業技術研究院 Fiber three-dimensional measuring device and method thereof

Also Published As

Publication number Publication date
JPWO2014080622A1 (en) 2017-01-05
JP5844921B2 (en) 2016-01-20
TW201425919A (en) 2014-07-01
WO2014080622A1 (en) 2014-05-30

Similar Documents

Publication Publication Date Title
TWI497063B (en) Three dimensional image processing method and three dimensional image processing device for fibrous fillers in composite materials
Ying et al. An intrinsic algorithm for parallel poisson disk sampling on arbitrary surfaces
US9317970B2 (en) Coupled reconstruction of hair and skin
WO2005010669A2 (en) Method for creating single 3d surface model from a point cloud
Campomanes-Álvarez et al. Evolutionary multi-objective optimization for mesh simplification of 3D open models
JP5608726B2 (en) Interactive ICP algorithm for organ segmentation
TW201012439A (en) Method of multi-dimensional empirical mode decomposition for image morphology
JP5785533B2 (en) Brain current calculation method, calculation device, and computer program
Guy et al. Prospective in (primate) dental analysis through tooth 3D topographical quantification
JP2019531537A (en) System and method for printing 3D models
CN113628314B (en) Visualization method, device and equipment for photographic measurement model in illusion engine
JP2014511714A (en) Correlated image mapping pointer
JP2020115339A (en) Extraction of feature tree from mesh
JP6864495B2 (en) Drawing Global Illumination in 3D scenes
US20120232848A1 (en) Method for creating finite element model of rubber composite
US9427197B2 (en) Method and apparatus to generate a panoramic radiography
CN105224764B (en) Bone modeling and simulation method
CN108351906A (en) The system and method for modeling for the component with lattice structure
Perumal New approaches for Delaunay triangulation and optimisation
Medina‐Cetina et al. Influence of boundary conditions, specimen geometry and material heterogeneity on model calibration from triaxial tests
CN107507179B (en) Rock-soil mass quantitative analysis method based on GOCAD
CN105765398A (en) System for measuring cortical thickness from MR scan information
EP2752780B1 (en) Simulation model generation method for filler mixed material
JP6719774B2 (en) Particle rendering processing device, particle rendering method, and computer program
JP2005301349A (en) Generation support device for analytic model