JP3061720B2 - Component placement method and board removal method - Google Patents

Component placement method and board removal method

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Publication number
JP3061720B2
JP3061720B2 JP6062244A JP6224494A JP3061720B2 JP 3061720 B2 JP3061720 B2 JP 3061720B2 JP 6062244 A JP6062244 A JP 6062244A JP 6224494 A JP6224494 A JP 6224494A JP 3061720 B2 JP3061720 B2 JP 3061720B2
Authority
JP
Japan
Prior art keywords
data
plate material
small
component
area
Prior art date
Legal status (The legal status 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 status listed.)
Expired - Lifetime
Application number
JP6062244A
Other languages
Japanese (ja)
Other versions
JPH07271833A (en
Inventor
研治 手塚
浩幸 山田
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Hitachi Zosen Corp
Original Assignee
Hitachi Zosen Corp
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Filing date
Publication date
Application filed by Hitachi Zosen Corp filed Critical Hitachi Zosen Corp
Priority to JP6062244A priority Critical patent/JP3061720B2/en
Publication of JPH07271833A publication Critical patent/JPH07271833A/en
Application granted granted Critical
Publication of JP3061720B2 publication Critical patent/JP3061720B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【産業上の利用分野】本発明は、部品の配置作業および
部品の板取り作業において、配置または板取りすべき部
品の位置を自動的にかつ適正に行うための部品の配置方
法および板取り方法に関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a component arranging method and a component removing method for automatically and appropriately positioning components to be arranged or removed in a component arranging operation and a component removing operation. About.

【0002】[0002]

【従来の技術】従来、板材上に部品を配置する際に、ま
ずコンピュータの表示装置(例えば、CRT)の画面上
に表示された部品を、オペレータがマウスとキーボード
を使用して、対話形式にて、画面上の板材上の空き領域
にうまく納まるように、画面上で移動および回転をさせ
ながら、オペレータの判断により部品の配置が行われて
いた。
2. Description of the Related Art Conventionally, when arranging parts on a board, first, an operator uses a mouse and a keyboard to interactively display parts displayed on a screen of a computer display device (for example, a CRT). Thus, the parts are arranged by the judgment of the operator while moving and rotating on the screen so that the parts can be properly fitted in the empty area on the plate material on the screen.

【0003】[0003]

【発明が解決しようとする課題】上記従来の配置作業に
よると、板材上での部品の適切な配置は、オペレータの
判断に依存しているため、その作業効率および最適な配
置が得られないという問題があった。
According to the above-mentioned conventional placement work, since the proper placement of parts on a plate depends on the judgment of the operator, the work efficiency and the optimum placement cannot be obtained. There was a problem.

【0004】そこで、本発明は上記問題を解消し得る部
品の配置方法および板取り方法を提供することを目的と
する。
Accordingly, an object of the present invention is to provide a component arranging method and a board removing method that can solve the above problems.

【0005】[0005]

【課題を解決するための手段】上記課題を解決するた
め、本発明の第1の手段は、部品全体を囲む矩形領域を
縦横に区画して複数個の小領域に分割し、これら各小領
域における部品の存在の有無に対応して各画素ごとに2
値化データを検出するとともに、その検出された”有”
データの割合の小領域配列データを部品の幾何学的特徴
量となし、板材上に上記部品と同一の大きさの矩形領域
および小領域を設けるとともにこれら各小領域における
2値化データの”無”データの割合の小領域配列データ
を板材の幾何学的特徴量となし、次に各小領域ごとに、
部品と板材との幾何学的特徴量の差の自乗和を求め、こ
の自乗和の差がゼロに近づくように、部品を板材上に配
置する部品の配置方法である。
In order to solve the above problems, a first means of the present invention is to divide a rectangular area surrounding an entire component into a plurality of small areas by dividing the rectangular area vertically and horizontally and dividing each of the small areas into a plurality of small areas. 2 for each pixel according to the presence or absence of the component in
Quantified data is detected, and the detected “Yes”
The small area array data of the data ratio is defined as the geometric feature of the part, a rectangular area and a small area having the same size as the above-described part are provided on the plate material, and the binary data in each of the small areas is not used. "The small area array data of the data ratio is regarded as the geometric feature of the plate material. Then, for each small area,
This is a component placement method in which the sum of the squares of the difference between the geometric feature values of the component and the plate is calculated, and the component is arranged on the plate such that the difference of the sum of the squares approaches zero.

【0006】また、本発明の第2の手段は、上記第1の
手段において、部品の形状データとして、予め記憶され
たものを使用する方法である。さらに、本発明の第3の
手段は、部品全体を囲む矩形領域を縦横に区画して複数
個の小領域に分割し、これら各小領域における部品の存
在の有無に対応して各画素ごとに2値化データを得てお
くとともに、この得られた”有”データの割合の小領域
配列データを部品の幾何学的特徴量となし、板材上に上
記部品と同一の大きさの矩形領域および小領域を設ける
とともにこれら各小領域における2値化データの”無”
データの小領域配列データを板材の幾何学的特徴量とな
し、次に各小領域ごとに、部品と板材との幾何学的特徴
量の差の自乗和を求め、この自乗和の差がゼロに近づく
ように、板材上に部品の板取りを行う部品の板取り方法
である。
Further, a second means of the present invention is a method according to the first means, wherein data stored in advance is used as part shape data. Further, a third means of the present invention is to divide a rectangular region surrounding the entire component into a plurality of small regions by dividing the rectangular region vertically and horizontally, and for each pixel corresponding to the presence or absence of the component in each of these small regions. In addition to obtaining the binarized data, the obtained small area array data having the ratio of “presence” data is used as the geometric feature of the component, and a rectangular area having the same size as A small area is provided, and the binarized data in each of these small areas is “absent”.
The small region array data of the data is regarded as the geometric feature of the plate material, and then, for each small region, the sum of squares of the difference between the geometric features of the part and the plate material is calculated, and the difference of the sum of squares is zero. This is a part boarding method for performing part boarding on a plate material so as to approach.

【0007】[0007]

【作用】上記部品の配置方法および板取り方法による
と、部品および板材の空き領域の幾何学的特徴を抽出す
るとともに、この特徴量の差に基づき、互いの隣接状態
を示す評価値を演算により求め、この評価値がゼロに近
づくように、部品の板材上への配置または板取りをする
ことにより、部品の板材上への配置および板取りを、自
動的にかつ効率良く行うことができる。
According to the method of arranging parts and the method of removing boards, the geometrical feature of the empty area of the part and the board is extracted, and the evaluation value indicating the adjacent state is calculated based on the difference between the feature amounts. Then, by arranging or trimming the components on the plate material so that the evaluation value approaches zero, it is possible to automatically and efficiently arrange and trim the components on the plate material.

【0008】[0008]

【実施例】以下、本発明の第1の実施例を図1に基づき
説明する。本発明の第1の実施例は、板材上に部品を自
動的にかつ効率良く配置するための配置方法である。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS A first embodiment of the present invention will be described below with reference to FIG. The first embodiment of the present invention is an arrangement method for automatically and efficiently arranging components on a plate material.

【0009】本実施例の配置方法には、部品の認識およ
び配置状態を数値的に評価し得る認識装置が使用され
る。この認識装置は、少なくとも、部品および板材の表
面を所定範囲に亘って撮影するためのカメラ装置(例え
ばCCDなどが使用されたもの)と、このカメラ装置に
より撮影された画像を2値化情報として検出するととも
に、所定の演算を施して、部品の板材上への配置状態を
評価するための演算処理装置(例えばコンピュータなど
からなる)とを有している。
In the arrangement method of this embodiment, a recognition device capable of numerically evaluating the recognition and arrangement state of components is used. This recognition device includes at least a camera device (for example, one using a CCD or the like) for photographing a surface of a component and a plate material over a predetermined range, and an image photographed by the camera device as binary information. It has an arithmetic processing unit (for example, composed of a computer or the like) for detecting and performing a predetermined operation to evaluate the arrangement state of the parts on the plate material.

【0010】部品の配置を行うに際して、上述したよう
に、部品と板材とがカメラ装置により2値化データとし
て認識される。部品が存在している場合には、例えば”
1(有)”データとして表され、部品が存在していない
場合には、”0(無)”データとして表される。
When arranging parts, as described above, the parts and the plate material are recognized as binary data by the camera device. If the part exists, for example, "
1 (presence) data, and when no component exists, it is represented as "0 (absence)" data.

【0011】次に、具体的な部品および板材の認識方法
並びに評価方法について説明する。図1に、板材1上に
これから配置すべき穴2aあき部品2を仮配置した状態
を示す。
Next, a specific method of recognizing and evaluating components and plate materials will be described. FIG. 1 shows a state in which a part 2 with a hole 2a to be arranged is temporarily arranged on a plate material 1.

【0012】まず、部品2の全体を囲む矩形領域Aを、
縦横に区画して複数個の小領域Bとする。この分割の個
数については、矩形領域Aに対する部品2の占める面積
比に応じて増減され、小領域B内の認識最小単位である
画素(ピクセルともいう)の割合を見掛け上大きくし
て、部品2の幾何学的特徴を抽出し易いように考慮され
る。
First, a rectangular area A surrounding the entire part 2 is defined as
A plurality of small areas B are divided vertically and horizontally. The number of divisions is increased or decreased according to the area ratio occupied by the component 2 with respect to the rectangular area A, and the proportion of the pixel (also referred to as a pixel), which is the minimum unit of recognition in the small area B, is increased apparently. Is considered so that the geometrical feature of is easily extracted.

【0013】次に、板材1上に、上記と同一の大きさの
矩形領域Aを取るとともに、同一大きさおよび同一個数
の小領域Bを取る。これら各小領域Bにおいて、他の部
品があるかどうかを、カメラ装置により認識する。この
時、他の部品がある場合には、例えば”1(有)”デー
タとして表され、部品が存在していない場合には、”0
(無)”データとして表される。
Next, a rectangular area A having the same size as that described above and a small area B having the same size and the same number are formed on the plate 1. In each of these small areas B, the camera device recognizes whether or not there is another component. At this time, if there is another part, it is represented as, for example, “1 (present)” data, and if there is no part, “0” is present.
(None) ”data.

【0014】そして、このカメラ装置により得られた”
0”データの割合の配列個数(小領域配列データ)が、
板材1における空き領域の形状の幾何学的特徴と見做さ
れる。
[0014] Then, the camera device is used. "
The number of arrays (small area array data) at the ratio of 0 "data is
It is regarded as a geometric feature of the shape of the empty area in the plate material 1.

【0015】次に、上記で得られた矩形領域Aの全面積
に対する部品2の”1”データの占める割合と、板材1
側で得られた矩形領域Aの全面積に対する”0”データ
の割合とにより、部品2が板材1上に適切に配置できる
かどうかを、下記式にて示される評価式により評価さ
れる。すなわち、その評価度qが求められる。
Next, the ratio of the “1” data of the part 2 to the total area of the rectangular area A obtained above and the plate material 1
Based on the ratio of “0” data to the total area of the rectangular area A obtained on the side, whether or not the component 2 can be appropriately arranged on the plate material 1 is evaluated by an evaluation expression expressed by the following expression. That is, the evaluation degree q is obtained.

【0016】[0016]

【数1】 式中、Bi はi番目の小領域を示し、wi は重み係数
である。
(Equation 1) In the equation, B i indicates the i-th small area, and w i is a weight coefficient.

【0017】上記式は、小領域Bごとに、部品2と板
材1との各幾何学的特徴量の差の自乗和を求め、この式
の値(q)がゼロに近い程、部品2の形状と板材1の空
き領域の類似度が高いことを示しており、したがって部
品2の配置を行う際に、上記の値(q)ができるだけゼ
ロに近くなるようにすれば、無駄のない配置を自動的に
行うことができる。
The above equation finds the sum of the squares of the differences between the geometric features of the part 2 and the plate 1 for each small area B. The closer the value (q) of this equation is to zero, the more the part 2 This indicates that the similarity between the shape and the empty area of the plate 1 is high. Therefore, when arranging the component 2, if the value (q) is made as close to zero as possible, efficient arrangement can be achieved. Can be done automatically.

【0018】上記式において、部品2の幾何学的特徴
と板材1の幾何学的特徴との差が正の値である場合に
は、板材1の方に空き領域が少ないということ、すなわ
ち既に配置された部品と新しく配置する部品が重なると
いうことを示している。
In the above equation, if the difference between the geometrical feature of the part 2 and the geometrical feature of the plate 1 is a positive value, it means that there is less free space in the plate 1, that is, the space has already been placed. This indicates that the placed component and the newly placed component overlap.

【0019】したがって、部品同士が重なることを避け
る必要があるため、この小領域Bにおける幾何学的特徴
の差に、ある重み係数(wi ,例えば8)を掛けたもの
を自乗して足し合わせるようにすることにより、上記の
ような避けるべき事態が生じた場合に、その評価値が大
きくなり、上記のような不都合を回避することができ
る。
[0019] Therefore, it is necessary to avoid that the parts overlap each other, the difference between the geometric features in the small regions B, summing and squaring the multiplied by a certain weight factor (w i, for example, 8) By doing so, when a situation to be avoided as described above occurs, the evaluation value increases, and the inconvenience as described above can be avoided.

【0020】また、上記とは逆に、部品2の幾何学的特
徴と板材1の幾何学的特徴との差がゼロまたは負である
場合には、板材1の方に空き領域があるということであ
り、この場合には、重み係数(wi )が1とされ、実質
的に無い状態で評価値が求められる。
Conversely, when the difference between the geometrical feature of the component 2 and the geometrical feature of the plate 1 is zero or negative, there is an empty area in the plate 1. , and the in this case, the weighting factor (w i) is a 1, the evaluation value is determined in the absence substantially.

【0021】なお、判断の対象となる矩形領域Aを、部
品2の周囲を含むようにすることにより(例えば、図1
のB1 〜B6 ,B10,B11,B15,B16,B20〜B25
て示す範囲)、新らしく配置しようとする部品が、既に
配置済みの部品に隣接した場所に配置されると、そうで
ない場合に比べて、評価値(q)が小さくなる(良くな
る)ので、部品が板材上の空き領域に、単独に配置され
ることが防止される。すなわち、部品に凹凸がある場合
には、その凹部と凸部とがうまく噛み合うような状態で
もって配置することができるので、極めて効率の良い部
品の配置を行うことができる。勿論、既に配置された部
品の穴内にでも、新しい部品を配置することができる。
Note that the rectangular area A to be determined includes the periphery of the component 2 (for example, FIG.
B 1 to B 6 , B 10 , B 11 , B 15 , B 16 , B 20 to B 25 ), and the part to be newly arranged is arranged at a place adjacent to the already arranged part. Then, the evaluation value (q) becomes smaller (improves) as compared with the case where it is not so, so that it is possible to prevent the components from being arranged alone in the empty area on the plate material. That is, when the component has irregularities, the component can be arranged in a state where the concave portion and the convex portion are properly engaged with each other, so that the component can be arranged extremely efficiently. Of course, a new part can be arranged even in the hole of the already arranged part.

【0022】ところで、上記実施例においては、配置す
べき部品をカメラ装置により、その形状を認識するよう
にしたが、例えば部品の形状データを、予めコンピュー
タに記憶させておき、このデータに基づき、上記と同様
の演算を行い、部品を配置するようにしてもよい。
In the above-described embodiment, the shape of the part to be arranged is recognized by the camera device. For example, the shape data of the part is stored in a computer in advance, and based on this data, The same operation as described above may be performed to arrange components.

【0023】また、上記実施例においては、評価式を使
用して部品を配置する方法について説明したが、これと
同様の手法を用いることにより、部品の板取りを行う場
合でも、自動的にかつ効率の良い板取りを行うことがで
きる。
In the above-described embodiment, the method of arranging parts using the evaluation formula has been described. However, by using the same method, even when the parts are cut off, the method is performed automatically. Efficient stripping can be performed.

【0024】すなわち、部品の板取りを行う場合、部品
の形状および板材の大きさなどの各データを、予めコン
ピュータの記憶装置に記憶させておく。勿論、この時、
部品の領域には1(有)”データが記憶されるととも
に、板材側の空き領域には、”0(無)”データが記憶
される。
That is, when a part is cut out, data such as the shape of the part and the size of the plate material are stored in a storage device of the computer in advance. Of course, at this time
In the part area, "1 (presence)" data is stored, and in the free area on the plate material side, "0 (no)" data is stored.

【0025】そして、上記実施例と同様に、部品全体を
囲む矩形領域を、縦横に区画して複数個の小領域とす
る。この分割の個数については、矩形領域に対する部品
の占める面積比に応じて増減され、小領域内の認識最小
単位である画素(ピクセルともいう)の割合を見掛け上
大きくして、部品の幾何学的特徴を抽出し易いように考
慮される。
Then, as in the above embodiment, a rectangular area surrounding the entire component is divided into a plurality of small areas by dividing it vertically and horizontally. The number of divisions is increased or decreased according to the area ratio of the component to the rectangular area, and the apparent ratio of the pixel (also referred to as a pixel), which is the minimum unit of recognition in the small area, is increased, and the geometrical shape of the component is increased. It is considered so that features can be easily extracted.

【0026】次に、板材の領域についても、同様の矩形
領域Aおよび小領域を考える。これら各小領域におい
て、既に板取りされた他の部品のデータがあるかどうか
が調べられる。この時、他の部品が板取りされている場
合には、例えば”1(有)”データとして示され、部品
が板取りされていない場合には、”0(無)”データと
して示される。
Next, the same rectangular region A and small region are considered for the plate material region. In each of these small areas, it is checked whether or not there is data of another part that has already been removed. At this time, when another part is board-cut, this is indicated as, for example, "1 (existing)" data, and when the part is not board-cut, it is indicated as "0 (absent)" data.

【0027】そして、”0”データの割合の配列個数
(小領域配列データ)が、板材側における空き領域の形
状の幾何学的特徴と見做される。次に、上記で得られた
矩形領域の全面積に対する部品の”1”データの占める
割合と、板材側で得られた矩形領域の全面積に対する”
0”データの割合とにより、部品が板材上に適切に板取
りできるかどうかを、上記実施例で示した評価式(
式)により評価される。
The number of arrays (small area array data) at the ratio of "0" data is regarded as a geometric feature of the shape of the empty area on the plate material side. Next, the ratio of the part “1” data to the total area of the rectangular area obtained above and the ratio of the “1” data to the total area of the rectangular area obtained on the plate material side are described.
Based on the ratio of 0 ″ data, it is determined whether or not the component can be appropriately cut on the plate material by the evaluation formula (
Expression).

【0028】すなわち、この評価値に基づき、部品の板
取りの良否が自動的にかつ正確に判断することができ
る。
That is, based on the evaluation value, the quality of the part removal can be automatically and accurately determined.

【0029】[0029]

【発明の効果】以上のように本発明の部品の配置および
板取り方法によると、部品および板材の空き領域の幾何
学的特徴を抽出するとともに、この幾何学的特徴量の差
に基づき、互いの隣接状態を示す評価値を演算により求
め、この評価値がゼロに近づくように、部品の板材上へ
の配置または板取りをすることにより、従来のように、
オペレータによる手作業に比べて、部品の板材上への配
置および板取りを、自動的にかつ効率良く行うことがで
きる。
As described above, according to the method for arranging and removing parts according to the present invention, the geometrical features of the free areas of the parts and the sheet material are extracted, and based on the difference between these geometrical features, the mutual features are extracted. By calculating the evaluation value indicating the adjacent state of the calculation, and by arranging or trimming the parts on the plate material so that the evaluation value approaches zero, as in the related art,
Compared to the manual operation by the operator, the arrangement of the parts on the plate material and the plate removal can be performed automatically and efficiently.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明の一実施例における部品の配置方法を説
明する平面図である。
FIG. 1 is a plan view illustrating a method for arranging components according to an embodiment of the present invention.

【符号の説明】 1 板材 2 部品 A 矩形領域 B 小領域[Description of Signs] 1 Board 2 Parts A Rectangular area B Small area

───────────────────────────────────────────────────── フロントページの続き (58)調査した分野(Int.Cl.7,DB名) G06F 17/50 G06T 7/00 ──────────────────────────────────────────────────続 き Continued on front page (58) Field surveyed (Int.Cl. 7 , DB name) G06F 17/50 G06T 7/00

Claims (3)

(57)【特許請求の範囲】(57) [Claims] 【請求項1】部品全体を囲む矩形領域を縦横に区画して
複数個の小領域に分割し、これら各小領域における部品
の存在の有無に対応して各画素ごとに2値化データを検
出するとともに、その検出された”有”データの割合の
小領域配列データを部品の幾何学的特徴量となし、板材
上に上記部品と同一の大きさの矩形領域および小領域を
設けるとともにこれら各小領域における2値化データ
の”無”データの割合の小領域配列データを板材の幾何
学的特徴量となし、次に各小領域ごとに、部品と板材と
の幾何学的特徴量の差の自乗和を求め、この自乗和の差
がゼロに近づくように、部品を板材上に配置することを
特徴とする部品の配置方法。
1. A rectangular area surrounding an entire component is divided vertically and horizontally into a plurality of small areas, and binary data is detected for each pixel according to the presence or absence of the component in each of the small areas. At the same time, the small area array data of the ratio of the detected "presence" data is used as the geometric feature of the part, and a rectangular area and a small area having the same size as the above part are provided on the plate material. The small region array data of the ratio of the “absence” data of the binarized data in the small region is defined as the geometric feature of the plate material. And arranging the components on a plate material such that the difference between the sums of squares approaches zero.
【請求項2】部品の形状データとして、予め記憶された
ものを使用することを特徴とする請求項1記載の部品の
配置方法。
2. The method according to claim 1, wherein data stored in advance is used as the shape data of the component.
【請求項3】部品全体を囲む矩形領域を縦横に区画して
複数個の小領域に分割し、これら各小領域における部品
の存在の有無に対応して各画素ごとに2値化データを得
ておくとともに、この得られた”有”データの割合の小
領域配列データを部品の幾何学的特徴量となし、板材上
に上記部品と同一の大きさの矩形領域および小領域を設
けるとともにこれら各小領域における2値化データの”
無”データの小領域配列データを板材の幾何学的特徴量
となし、次に各小領域ごとに、部品と板材との幾何学的
特徴量の差の自乗和を求め、この自乗和の差がゼロに近
づくように、板材上に部品の板取りを行うことを特徴と
する部品の板取り方法。
3. A rectangular area surrounding the entire part is divided vertically and horizontally into a plurality of small areas, and binary data is obtained for each pixel in accordance with the presence or absence of the part in each of these small areas. In addition, the obtained small area array data of the ratio of "presence" data is used as the geometric feature of the part, and a rectangular area and a small area of the same size as the above part are provided on the plate material. Of binary data in each small area
The small area array data of “no” data is used as the geometric feature value of the plate material, and then, for each small area, the sum of the squares of the difference between the geometric features of the component and the plate material is obtained. A method for removing parts from a plate material, wherein the parts are reduced to zero.
JP6062244A 1994-03-31 1994-03-31 Component placement method and board removal method Expired - Lifetime JP3061720B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP6062244A JP3061720B2 (en) 1994-03-31 1994-03-31 Component placement method and board removal method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP6062244A JP3061720B2 (en) 1994-03-31 1994-03-31 Component placement method and board removal method

Publications (2)

Publication Number Publication Date
JPH07271833A JPH07271833A (en) 1995-10-20
JP3061720B2 true JP3061720B2 (en) 2000-07-10

Family

ID=13194542

Family Applications (1)

Application Number Title Priority Date Filing Date
JP6062244A Expired - Lifetime JP3061720B2 (en) 1994-03-31 1994-03-31 Component placement method and board removal method

Country Status (1)

Country Link
JP (1) JP3061720B2 (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101640571B1 (en) 2015-09-04 2016-07-22 배상현 Acupressure Apparatus for Back

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101640571B1 (en) 2015-09-04 2016-07-22 배상현 Acupressure Apparatus for Back

Also Published As

Publication number Publication date
JPH07271833A (en) 1995-10-20

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