JP2006048147A - Three-dimensional shape model arrangement device, arrangement method, arrangement program, and recording medium - Google Patents

Three-dimensional shape model arrangement device, arrangement method, arrangement program, and recording medium Download PDF

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JP2006048147A
JP2006048147A JP2004224326A JP2004224326A JP2006048147A JP 2006048147 A JP2006048147 A JP 2006048147A JP 2004224326 A JP2004224326 A JP 2004224326A JP 2004224326 A JP2004224326 A JP 2004224326A JP 2006048147 A JP2006048147 A JP 2006048147A
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model
arrangement
reference plane
placement
dimensional shape
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JP4685382B2 (en
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Tsukasa Matsuoka
司 松岡
Koji Aragaki
恒治 新垣
Toshiaki Sato
敏明 佐藤
Masao Kono
正夫 河野
Tomohiro Tamura
智洋 田村
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Ricoh Co Ltd
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Ricoh Co Ltd
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Abstract

<P>PROBLEM TO BE SOLVED: To provide a three-dimensional shape model arrangement device which can arrange an arrangement model without prior computation by designating the arrangement model in which an arrangement may get in contact with a reference plane designated by the arrangement model and the reference plane. <P>SOLUTION: The three-dimensional shape model arrangement device 100 comprises a model designation part 1 which designates an arrangement model and its arrangement element (plane, columnar surface, spherical surface, or vertex), a plane designation part 2 which receives as input a reference plane parallel to the arrangement element, a direction designation part 3 which receives as an input the moving direction of an arrangement element which an operator 12 inputs, an offset value designation part 4 which receives as an input an offset value between the arrangement element and the reference plane, a model moving part 5 which computes the motion vector of the arrangement model by using a preliminarily determined method so that the reference plane may get in contact with the arrangement element or the arrangement element may be at a distance corresponding to an offset value from the reference plane, a three-dimensional data processing part 6 which reads and holds three-dimensional data 10, and a display processing part 7 which displays the three-dimensional data on a display 11. <P>COPYRIGHT: (C)2006,JPO&NCIPI

Description

本発明は、三次元形状モデルの配置装置、配置方法に関し、さらに詳しくは、三次元形状モデルを指定した１つの平面に接触するように配置するための事前計算を不要にする三次元形状モデルの配置装置に関するものである。   The present invention relates to a three-dimensional shape model placement apparatus and placement method, and more particularly, to a three-dimensional shape model that eliminates the need for pre-computation for placing the three-dimensional shape model so as to contact one specified plane. The present invention relates to a placement device.

三次元形状モデルを配置する方法としては、ユーザーが三次元ＣＡＤを操作して、座標値をキーボード入力やマウス操作により、三次元形状モデルを任意の位置や向きに指定する方法が一般的である。一方、実際の運用においては、配置するモデル（配置モデル、元モデル）と基準となるモデル（基準モデル、先モデル）の位置関係を、ユーザーの望むような位置関係になるように、配置モデルの位置や向きを予めユーザーが計算しておいて配置する方法が一般的であった。例えば、球状のモデル（元モデル）を別の平面を持つモデル（先モデル）に球の部分が接するように配置する場合、球の中心座標を平面から球の半径の距離の位置を計算した上で、三次元ＣＡＤを操作し配置することで、望む配置を行っていた。
また従来技術として特開２０００−０２０７５６公報には、三次元形状モデル内の要素の三次元空間上の位置や方向を、指定した配置が可能な技術について開示されている。また、特開平０８−０１６８２６号公報においては、画面上のカーソル位置を指定して、基準平面上に対応する三次元空間上の位置に三次元形状モデルを配置できる技術について開示されている。
特開２０００−０２０７５６公報 特開平０８−０１６８２６号公報 As a method for arranging a three-dimensional shape model, a method in which a user operates a three-dimensional CAD and designates a three-dimensional shape model at an arbitrary position and orientation by inputting a coordinate value with a keyboard or a mouse is generally used. . On the other hand, in actual operation, the position of the placement model is set so that the position relationship between the model to be placed (placement model, original model) and the reference model (reference model, previous model) is as desired by the user. A method in which the user calculates and arranges the position and orientation in advance is common. For example, when a spherical model (original model) is placed so that the sphere part touches a model (destination model) with another plane, the center coordinate of the sphere is calculated from the position of the radius of the sphere from the plane. Thus, the desired arrangement was performed by manipulating and arranging the three-dimensional CAD.
As a conventional technique, Japanese Patent Application Laid-Open No. 2000-020756 discloses a technique that allows a specified arrangement of positions and directions of elements in a three-dimensional shape model in a three-dimensional space. Japanese Patent Application Laid-Open No. 08-016826 discloses a technique that allows a three-dimensional shape model to be arranged at a position in a three-dimensional space corresponding to a reference plane by designating a cursor position on a screen.
JP 2000-020756 A Japanese Patent Laid-Open No. 08-016826

このように従来の三次元形状モデルを配置する方法は、事前計算が必要なため作業効率の点で問題があった。
また、特許文献１、２に開示されている従来技術は、いずれの方法も三次元形状モデル内の要素が平面に接するような位置への配置は事前計算なしには不可能である。
本発明は、かかる課題に鑑み、配置モデルが指定した基準平面と接触するような配置を配置モデルと基準平面を指定することにより、事前計算なしにモデル配置を可能とした三次元形状モデルの配置装置を提供することを目的とする。 As described above, the conventional method of arranging the three-dimensional shape model has a problem in terms of work efficiency because it requires pre-calculation.
In addition, according to the conventional techniques disclosed in Patent Documents 1 and 2, it is impossible to place the elements in the three-dimensional shape model at positions where they contact the plane without prior calculation.
In view of such a problem, the present invention provides an arrangement of a three-dimensional shape model that enables model arrangement without prior calculation by designating an arrangement model and a reference plane such that the arrangement model contacts a reference plane designated by the arrangement model. An object is to provide an apparatus.

本発明はかかる課題を解決するために、請求項１は、三次元形状モデルを配置する三次元形状モデルの配置装置であって、配置モデルと該配置モデルの配置要素を指定するモデル指定部と、前記配置要素と平行な基準平面を入力として受け付ける平面指定部と、前記配置要素の移動方向を入力として受け付ける方向指定部と、前記配置要素と基準平面との間のオフセット値を入力として受け付けるオフセット値指定部と、前記配置モデルの移動ベクトルを前記基準平面と配置要素が接触するように、若しくは前記配置要素と基準平面がオフセット値だけ離れた距離になるように予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする。
本発明の三次元形状モデルの配置装置は、モデル指定部、平面指定部、方向指定部、オフセット値指定部、及びモデル移動部を備えている。これにより、配置すべきモデルとその要素、例えば平面、円柱面、球面といった配置要素を入力する。また配置モデルに対して基準となる基準面を入力し、その基準面に対して配置モデルをどの方向に移動するかを指定する。また配置モデルと基準面との間にはオフセット値があるのでその値を指定しておき、配置モデルの移動ベクトルを配置モデルと基準面が接触するように計算したり、オフセット値だけ離れるように計算して配置モデルを移動して配置する。
請求項２は、前記配置要素は、平面、円柱面、球面、及び頂点の何れかであることを特徴とする。
本発明の配置要素として平面、円柱面、球面、及び頂点の何れかを配置モデルの要素とする。これによりほとんどの形状モデルが配置可能となる。
請求項３は、三次元形状モデルを配置する三次元形状モデルの配置装置であって、配置モデルと該配置モデルの円柱面を入力として受け付ける円柱面指定部と、第１の基準平面を入力として受け付ける第１基準平面指定部と、第２の基準平面を入力として受け付ける第２基準平面指定部と、前記第１の基準平面と第２の基準平面に前記円柱面が接触するように前記配置モデルの移動ベクトルを予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする。
本発明の他の特徴は、円柱面を２つの基準面に対して同時に接触して配置できる点である。そのために円柱面を入力し、第１の基準面と第２の基準面を指定し、これらの面に円柱面が接触するように移動ベクトルを計算して配置モデルを移動する。 In order to solve this problem, the present invention provides a three-dimensional shape model placement apparatus for placing a three-dimensional shape model, and a model designation unit for designating a placement model and a placement element of the placement model; A plane designating unit that accepts a reference plane parallel to the arrangement element as an input, a direction designation unit that accepts a movement direction of the arrangement element as an input, and an offset that accepts an offset value between the arrangement element and the reference plane as an input The value designation unit and the movement vector of the placement model are calculated by a predetermined method so that the reference plane and the placement element are in contact with each other, or the distance between the placement element and the reference plane is an offset value. And a model moving unit that moves the arrangement model.
The arrangement device for a three-dimensional shape model of the present invention includes a model specifying unit, a plane specifying unit, a direction specifying unit, an offset value specifying unit, and a model moving unit. As a result, the model to be placed and its elements, for example, placement elements such as a plane, a cylindrical surface, and a spherical surface are input. Also, a reference plane serving as a reference is input to the arrangement model, and a direction in which the arrangement model is moved with respect to the reference plane is designated. Also, since there is an offset value between the placement model and the reference plane, specify that value and calculate the movement vector of the placement model so that the placement model and the reference plane are in contact, or so that the offset value is separated. Calculate and move the placement model to place it.
According to a second aspect of the present invention, the arrangement element is any one of a plane, a cylindrical surface, a spherical surface, and a vertex.
Any one of a plane, a cylindrical surface, a spherical surface, and a vertex is used as an element of the arrangement model as the arrangement element of the present invention. As a result, most shape models can be arranged.
A third aspect of the present invention is a three-dimensional shape model placement device for placing a three-dimensional shape model, wherein a cylindrical surface designating unit that receives a placement model and a cylindrical surface of the placement model as input, and a first reference plane as input A first reference plane designating unit that accepts, a second reference plane designating unit that accepts a second reference plane as input, and the arrangement model so that the cylindrical surface is in contact with the first reference plane and the second reference plane. And a model moving unit for moving the arrangement model by calculating a movement vector of the above by a predetermined method.
Another feature of the present invention is that the cylindrical surface can be placed in contact with two reference surfaces simultaneously. For this purpose, a cylindrical surface is input, a first reference surface and a second reference surface are designated, a movement vector is calculated so that the cylindrical surface is in contact with these surfaces, and the arrangement model is moved.

請求項４は、三次元形状モデルを配置する三次元形状モデルの配置方法であって、配置モデルと該配置モデルの配置要素を指定するモデル指定部と、前記配置要素と平行な基準平面を入力として受け付ける平面指定部と、前記配置要素の移動方向を入力として受け付ける方向指定部と、前記配置要素と基準平面との間のオフセット値を入力として受け付けるオフセット値指定部と、前記配置モデルの移動ベクトルを前記基準平面と配置要素が接触するように、若しくは前記配置要素と基準平面がオフセット値だけ離れた距離になるように予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする。
本発明は請求項１と同様の作用効果を奏する。
請求項５は、前記配置要素は、平面、円柱面、球面、及び頂点の何れかであることを特徴とする。
本発明は請求項２と同様の作用効果を奏する。
請求項６は、三次元形状モデルを配置する三次元形状モデルの配置方法であって、配置モデルと該配置モデルの円柱面を入力として受け付ける円柱面指定部と、第１の基準平面を入力として受け付ける第１基準平面指定部と、第２の基準平面を入力として受け付ける第２基準平面指定部と、前記第１の基準平面と第２の基準平面に前記円柱面が接触するように前記配置モデルの移動ベクトルを予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする。
本発明は請求項３と同様の作用効果を奏する。
請求項７は、請求項４乃至６の何れか一項に記載の三次元形状モデルの配置方法をコンピュータが制御可能にプログラミングしたことを特徴とする。
請求項８は、請求項７に記載の三次元形状モデルの配置プログラムをコンピュータが読み取り可能な形式で記録したことを特徴とする。 Claim 4 is a method for arranging a three-dimensional shape model for arranging a three-dimensional shape model, and inputs a placement model, a model designating unit for designating a placement element of the placement model, and a reference plane parallel to the placement element A plane designating unit that accepts as an input, a direction designating unit that accepts as input the movement direction of the placement element, an offset value designation unit that accepts as input an offset value between the placement element and a reference plane, and a movement vector of the placement model A model moving unit that moves the placement model by calculating a predetermined method so that the reference plane and the placement element are in contact with each other, or so that the placement element and the reference plane are separated by an offset value; , Provided.
The present invention has the same effect as that of the first aspect.
According to a fifth aspect of the present invention, the arrangement element is any one of a plane, a cylindrical surface, a spherical surface, and a vertex.
The present invention has the same effect as that of the second aspect.
Claim 6 is a three-dimensional shape model placement method for placing a three-dimensional shape model, wherein the placement model, a cylindrical surface designation unit that receives the cylindrical surface of the placement model as input, and a first reference plane as input A first reference plane designating unit that accepts, a second reference plane designating unit that accepts a second reference plane as input, and the arrangement model so that the cylindrical surface is in contact with the first reference plane and the second reference plane. And a model moving unit for moving the arrangement model by calculating a movement vector of the above by a predetermined method.
The present invention has the same effect as that of the third aspect.
A seventh aspect is characterized in that the computer-programmable programming method for arranging the three-dimensional shape model according to any one of the fourth to sixth aspects is provided.
An eighth aspect of the invention is characterized in that the three-dimensional shape model arrangement program according to the seventh aspect is recorded in a computer-readable format.

請求項１、４の発明によれば、三次元形状モデルの配置装置は、モデル指定部、平面指定部、方向指定部、オフセット値指定部、及びモデル移動部を備えているので、三次元形状モデルを指定した１つの平面に接触するように配置することができる。
また請求項２、５では、配置要素として平面、円柱面、球面、及び頂点の何れかを配置モデルの要素とするので、ほとんどの形状モデルが配置可能となる。
また請求項３、６では、円柱面を入力し、第１の基準面と第２の基準面を指定し、これらの面に円柱面が接触するように移動ベクトルを計算して配置モデルを移動するので、三次元形状モデルを指定した２つの平面に接触するように配置することができる。
また請求項７では、本発明の三次元形状モデルの配置方法をコンピュータが制御可能なＯＳに従ってプログラミングすることにより、そのＯＳを備えたコンピュータであれば同じ処理方法により制御することができる。
また請求項８では、三次元形状モデルの配置プログラムをコンピュータが読み取り可能な形式で記録媒体に記録することにより、この記録媒体を持ち運ぶことにより何処でもプログラムを稼動することができる。 According to the first and fourth aspects of the present invention, the three-dimensional shape model placement apparatus includes a model designating unit, a plane designating unit, a direction designating unit, an offset value designating unit, and a model moving unit. The model can be placed in contact with one designated plane.
Further, in claims 2 and 5, since any one of a plane, a cylindrical surface, a spherical surface, and a vertex is used as an arrangement element as an arrangement element, almost any shape model can be arranged.
Further, in claims 3 and 6, the cylindrical surface is input, the first reference surface and the second reference surface are specified, and the movement model is calculated so that the cylindrical surface is in contact with these surfaces, and the arrangement model is moved. Therefore, the three-dimensional shape model can be arranged so as to contact two designated planes.
According to the seventh aspect of the present invention, by programming the 3D shape model arrangement method of the present invention in accordance with an OS that can be controlled by a computer, any computer equipped with the OS can be controlled by the same processing method.
According to another aspect of the present invention, the three-dimensional shape model arrangement program is recorded on a recording medium in a computer-readable format, so that the program can be operated anywhere by carrying the recording medium.

以下、本発明を図に示した実施形態を用いて詳細に説明する。但し、この実施形態に記載される構成要素、種類、組み合わせ、形状、その相対配置などは特定的な記載がない限り、この発明の範囲をそれのみに限定する主旨ではなく単なる説明例に過ぎない。
図１は本発明の三次元形状モデルの配置装置の構成を示す図である。この三次元形状モデルの配置装置１００は、配置モデルとこの配置モデルの配置要素（平面、円柱面、球面、頂点の何れか）を指定するモデル指定部１と、配置要素と平行な基準平面を入力として受け付ける平面指定部２と、操作者１２が入力した配置要素の移動方向を入力として受け付ける方向指定部３と、配置要素と基準平面との間のオフセット値を入力として受け付けるオフセット値指定部４と、配置モデルの移動ベクトルを基準平面と配置要素が接触するように、若しくは配置要素と基準平面がオフセット値だけ離れた距離になるように予め決められた方法により計算して配置モデルを移動するモデル移動部５と、三次元形状データ１０を読み込み、三次元形状データを保持する三次元形状データ処理部６と、三次元形状データをディスプレイ１１に表示する表示処理部７とを備えて構成される。
本実施形態の三次元形状モデルの配置装置１００は、モデル指定部１、平面指定部２、方向指定部３、オフセット値指定部４、及びモデル移動部５を備えている。これにより、配置すべきモデルとその要素、例えば平面、円柱面、球面といった配置要素を入力する。また配置モデルに対して基準となる基準面を入力し、その基準面に対して配置モデルをどの方向に移動するかを指定する。また配置モデルと基準面との間にはオフセット値があるのでその値を指定しておき、配置モデルの移動ベクトルを配置モデルと基準面が接触するように計算したり、オフセット値だけ離れるように計算して配置モデルを移動して配置する。これにより、三次元形状モデルを指定した１つの平面に接触するように配置することができる。 Hereinafter, the present invention will be described in detail with reference to embodiments shown in the drawings. However, the components, types, combinations, shapes, relative arrangements, and the like described in this embodiment are merely illustrative examples and not intended to limit the scope of the present invention only unless otherwise specified. .
FIG. 1 is a diagram showing a configuration of a three-dimensional shape model arrangement apparatus according to the present invention. The three-dimensional shape model placement apparatus 100 includes a model designating unit 1 that designates a placement model and a placement element (any one of a plane, a cylindrical surface, a spherical surface, and a vertex) of the placement model, and a reference plane parallel to the placement element. The plane designation unit 2 that accepts as an input, the direction designation unit 3 that accepts the movement direction of the placement element input by the operator 12 as an input, and the offset value designation unit 4 that accepts an offset value between the placement element and the reference plane as an input Then, the movement model of the placement model is calculated by a predetermined method so that the reference plane and the placement element are in contact with each other, or the placement element and the reference plane are separated by an offset value, and the placement model is moved. The model moving unit 5, the 3D shape data 10 is read, the 3D shape data processing unit 6 that holds the 3D shape data, and the 3D shape data is decoded. It constituted a display unit 7 for displaying the spray 11.
The three-dimensional shape model arrangement apparatus 100 according to the present embodiment includes a model designating unit 1, a plane designating unit 2, a direction designating unit 3, an offset value designating unit 4, and a model moving unit 5. As a result, the model to be placed and its elements, for example, placement elements such as a plane, a cylindrical surface, and a spherical surface are input. Also, a reference plane serving as a reference is input to the arrangement model, and a direction in which the arrangement model is moved with respect to the reference plane is designated. Also, since there is an offset value between the placement model and the reference plane, specify that value and calculate the movement vector of the placement model so that the placement model and the reference plane are in contact, or so that the offset value is separated. Calculate and move the placement model to place it. As a result, the three-dimensional shape model can be arranged so as to contact one designated plane.

図２は本発明の三次元形状モデルの配置装置１００の動作フローチャートである。本フローチャートで対象とする配置モデルは平面を持つ形状モデルとする。
まずモデル指定部１が配置モデルとその平面（配置平面）を入力として受け付ける（Ｓ１）。次に平面指定部２が配置平面と平行な基準平面を入力として受け付ける（Ｓ２）。次に方向指定部３が移動方向を入力として受け付ける（Ｓ３）。次にオフセット値指定部４がオフセット値を入力として受け付ける（Ｓ４）。次にモデル移動部５が配置モデルの移動ベクトルＴをＴ＝（ｉｐ（Ｃ−Ｈ、Ｎ）−ｆ）／ｉｐ（Ｍ、−Ｎ）＊Ｍ（但し、基準平面の原点座標：Ｈ、基準平面の法線ベクトル：Ｎ、移動方向ベクトル：Ｍ、オフセット値：ｆ、配置平面の原点座標：Ｃ、配置平面の法線ベクトル：Ｌ、スカラａとベクトルＸの積：ａ＊Ｘ、ベクトルＸとベクトルＹのベクトル内積：ｉｐ（Ｘ、Ｙ））により計算し配置モデルを移動する（Ｓ５）。
図３は本発明の三次元形状モデルの配置装置１００の動作フローチャートである。本フローチャートで対象とする配置モデルは円柱面を持つ形状モデルとする。
まずモデル指定部１が配置モデルとその円柱面を入力として受け付ける（Ｓ１１）。次に平面指定部２が円柱面の中心軸に平行な基準平面を入力として受け付ける（Ｓ１２）。次に方向指定部３が移動方向を入力として受け付ける（Ｓ１３）。次にオフセット値指定部４がオフセット値を入力として受け付ける（Ｓ１４）。次にモデル移動部５が配置モデルの移動ベクトルＴをＴ＝（ｉｐ（Ｃ−Ｈ、Ｎ）−ｒ−ｆ）／ｉｐ（Ｍ、−Ｎ）＊Ｍ（但し、基準平面の原点座標：Ｈ、基準平面の法線ベクトル：Ｎ、移動方向ベクトル：Ｍ、オフセット値：ｆ、配置平面の原点座標：Ｃ、配置平面の法線ベクトル：Ｌ、スカラａとベクトルＸの積：ａ＊Ｘ、ベクトルＸとベクトルＹのベクトル内積：ｉｐ（Ｘ、Ｙ））により計算し配置モデルを移動する（Ｓ１５）。 FIG. 2 is an operation flowchart of the three-dimensional shape model placement apparatus 100 of the present invention. The arrangement model targeted in this flowchart is a shape model having a plane.
First, the model designating unit 1 accepts an arrangement model and its plane (placement plane) as inputs (S1). Next, the plane designating unit 2 receives a reference plane parallel to the arrangement plane as an input (S2). Next, the direction specifying unit 3 receives the moving direction as an input (S3). Next, the offset value specifying unit 4 receives the offset value as an input (S4). Next, the model moving unit 5 sets the movement vector T of the arrangement model as T = (ip (C−H, N) −f) / ip (M, −N) * M (provided that the origin coordinate of the reference plane is H, the reference Normal vector of plane: N, moving direction vector: M, offset value: f, origin coordinate of arrangement plane: C, normal vector of arrangement plane: L, product of scalar a and vector X: a * X, vector X And the vector inner product of the vector Y: ip (X, Y)) and the arrangement model is moved (S5).
FIG. 3 is an operation flowchart of the three-dimensional shape model placement apparatus 100 of the present invention. The arrangement model targeted in this flowchart is a shape model having a cylindrical surface.
First, the model designating unit 1 accepts an arrangement model and its cylindrical surface as input (S11). Next, the plane designating unit 2 accepts as input a reference plane parallel to the central axis of the cylindrical surface (S12). Next, the direction designating unit 3 accepts the moving direction as an input (S13). Next, the offset value specifying unit 4 receives the offset value as an input (S14). Next, the model moving unit 5 sets the movement vector T of the arrangement model as T = (ip (C−H, N) −r−f) / ip (M, −N) * M (where the origin coordinate of the reference plane is H , Normal vector of reference plane: N, moving direction vector: M, offset value: f, origin coordinate of arrangement plane: C, normal vector of arrangement plane: L, product of scalar a and vector X: a * X, The inner model of the vector X and the vector Y: ip (X, Y)) is calculated and the placement model is moved (S15).

図４は本発明の三次元形状モデルの配置装置１００の動作フローチャートである。本フローチャートで対象とする配置モデルは球面を持つ形状モデルとする。
まずモデル指定部１が配置モデルとその球面を入力として受け付ける（Ｓ２１）。次に平面指定部２が球面の中心軸に平行な基準平面を入力として受け付ける（Ｓ２２）。次に方向指定部３が移動方向を入力として受け付ける（Ｓ２３）。次にオフセット値指定部４がオフセット値を入力として受け付ける（Ｓ２４）。次にモデル移動部５が配置モデルの移動ベクトルＴをＴ＝（ｉｐ（Ｃ−Ｈ、Ｎ）−ｒ−ｆ）／ｉｐ（Ｍ、−Ｎ）＊Ｍ（但し、基準平面の原点座標：Ｈ、基準平面の法線ベクトル：Ｎ、移動方向ベクトル：Ｍ、オフセット値：ｆ、配置平面の原点座標：Ｃ、配置平面の法線ベクトル：Ｌ、スカラａとベクトルＸの積：ａ＊Ｘ、ベクトルＸとベクトルＹのベクトル内積：ｉｐ（Ｘ、Ｙ））により計算し配置モデルを移動する（Ｓ２５）。
図５は本発明の三次元形状モデルの配置装置１００の動作フローチャートである。本フローチャートで対象とする配置モデルは頂点を持つ形状モデルとする。
まずモデル指定部１が配置モデルとその頂点を入力として受け付ける（Ｓ３１）。次に平面指定部２が頂点の中心軸に平行な基準平面を入力として受け付ける（Ｓ３２）。次に方向指定部３が移動方向を入力として受け付ける（Ｓ３３）。次にオフセット値指定部４がオフセット値を入力として受け付ける（Ｓ３４）。次にモデル移動部５が配置モデルの移動ベクトルＴをＴ＝（ｉｐ（Ｃ−Ｈ、Ｎ）−ｆ）／ｉｐ（Ｍ、−Ｎ）＊Ｍ（但し、基準平面の原点座標：Ｈ、基準平面の法線ベクトル：Ｎ、移動方向ベクトル：Ｍ、オフセット値：ｆ、配置平面の原点座標：Ｃ、配置平面の法線ベクトル：Ｌ、スカラａとベクトルＸの積：ａ＊Ｘ、ベクトルＸとベクトルＹのベクトル内積：ｉｐ（Ｘ、Ｙ））により計算し配置モデルを移動する（Ｓ３５）。 FIG. 4 is an operation flowchart of the three-dimensional shape model placement apparatus 100 of the present invention. The arrangement model targeted in this flowchart is a shape model having a spherical surface.
First, the model designating unit 1 accepts an arrangement model and its spherical surface as input (S21). Next, the plane designating unit 2 receives a reference plane parallel to the central axis of the spherical surface as an input (S22). Next, the direction designating unit 3 accepts the moving direction as an input (S23). Next, the offset value specifying unit 4 receives the offset value as an input (S24). Next, the model moving unit 5 sets the movement vector T of the arrangement model as T = (ip (C−H, N) −r−f) / ip (M, −N) * M (where the origin coordinate of the reference plane is H , Normal vector of reference plane: N, moving direction vector: M, offset value: f, origin coordinate of arrangement plane: C, normal vector of arrangement plane: L, product of scalar a and vector X: a * X, The inner model of the vector X and the vector Y: ip (X, Y)) is calculated and the placement model is moved (S25).
FIG. 5 is an operation flowchart of the three-dimensional shape model arrangement apparatus 100 of the present invention. The arrangement model targeted in this flowchart is a shape model having vertices.
First, the model designating unit 1 accepts an arrangement model and its vertex as input (S31). Next, the plane designating unit 2 accepts as input a reference plane parallel to the central axis of the vertex (S32). Next, the direction designating unit 3 accepts the moving direction as an input (S33). Next, the offset value specifying unit 4 receives the offset value as an input (S34). Next, the model moving unit 5 sets the movement vector T of the arrangement model as T = (ip (C−H, N) −f) / ip (M, −N) * M (provided that the origin coordinate of the reference plane is H, the reference Normal vector of plane: N, moving direction vector: M, offset value: f, origin coordinate of arrangement plane: C, normal vector of arrangement plane: L, product of scalar a and vector X: a * X, vector X And the vector inner product of the vector Y: ip (X, Y)) and the arrangement model is moved (S35).

図６は本発明の三次元形状モデルの配置装置１００の動作フローチャートである。本フローチャートで対象とする配置モデルは円柱面を持つ形状モデルとする。
まずモデル指定部１が配置モデルとその頂点を入力として受け付ける（Ｓ４１）。次に平面指定部２が円柱面の中心軸に平行な基準平面１を入力として受け付ける（Ｓ４２）。次に平面指定部２が円柱面の中心軸に平行な基準平面２を入力として受け付ける（Ｓ４３）。基準平面１と基準平面２の交線に平行な方向ベクトルＤを、Ｄ＝ｏｐ（Ｎ１、Ｎ２）（但し、ベクトルＸとベクトルＹのベクトル外積をｏｐ（Ｘ、Ｙ））により計算する（Ｓ４４）。次に配置モデルをその境界箱の中心点Ｂを中心に、円柱面の中心軸ベクトルＬと交線ベクトルＤの外積を軸としてＬとＤが同じ方向になるように配置モデルをＬとＤが成す角度だけ回転する（Ｓ４５）。配置モデルを構成する各点Ｐは、以下の式に基づき回転する。Ｐｒ＝Ｒ（Ｂ、ｏｐ（Ｌ、Ｄ）、ａｒｃｃｏｓ（ｉｐ（Ｌ、Ｄ）））＊（Ｐ−Ｂ）＋Ｂ（但し、配置モデルの境界箱の中心点：Ｂ、円柱面の中心点：Ｃ、円柱面の中心軸ベクトル：Ｌ、円柱面の半径：ｒ、基準平面１の原点座標Ｈ１、法線ベクトルＮ１、基準平面２の原点座標Ｈ２、法線ベクトルＮ２、中心点がｏ、回転軸ベクトルｖ、ａ度回転する行列をＲ（ｏ、ｖ、ａ）、ベクトルＸとベクトルＹのベクトル外積をｏｐ（Ｘ、Ｙ）、逆余弦関数をａｒｃｃｏｓ（）、行列ＲとベクトルＸの積をＲ＊Ｘ）とする。次に配置モデルの移動ベクトルＴを、Ｔ＝（ｒ−ｉｐ（Ｈ１−Ｃ’、Ｎ１））＊Ｎ１＋（ｒ−ｉｐ（Ｈ２−Ｃ’、Ｎ２））＊Ｎ２（但し、基準平面１の原点座標Ｈ１、法線ベクトルＮ１、基準平面２の原点座標Ｈ２、法線ベクトルＮ２、スカラａとベクトルＸの積：ａ＊Ｘ、ベクトルＸとベクトルＹのベクトル内積：ｉｐ（Ｘ、Ｙ）、回転後の円柱面の中心点をＣ’、円柱面の半径をｒ）により計算し配置モデルを移動する（Ｓ４６）。
このように本発明の他の特徴は、円柱面を２つの基準面に対して同時に接触して配置できる点である。そのために円柱面を入力し、第１の基準面と第２の基準面を指定し、これらの面に円柱面が接触するように移動ベクトルを計算して配置モデルを移動する。 FIG. 6 is an operation flowchart of the three-dimensional shape model arrangement apparatus 100 of the present invention. The arrangement model targeted in this flowchart is a shape model having a cylindrical surface.
First, the model designating unit 1 accepts an arrangement model and its vertex as input (S41). Next, the plane designating unit 2 receives the reference plane 1 parallel to the central axis of the cylindrical surface as an input (S42). Next, the plane designating unit 2 receives the reference plane 2 parallel to the central axis of the cylindrical surface as an input (S43). A direction vector D parallel to the intersection line of the reference plane 1 and the reference plane 2 is calculated by D = op (N1, N2) (where the vector outer product of the vector X and the vector Y is op (X, Y)) (S44). ). Next, the placement models L and D are arranged so that L and D are in the same direction around the center point B of the bounding box and the outer product of the center axis vector L and the intersection vector D of the cylindrical surface. It rotates by the angle formed (S45). Each point P constituting the placement model rotates based on the following equation. Pr = R (B, op (L, D), arccos (ip (L, D))) * (P−B) + B (However, the center point of the bounding box of the arrangement model: B, the center point of the cylindrical surface: C, center axis vector of cylindrical surface: L, radius of cylindrical surface: r, origin coordinate H1 of reference plane 1, normal vector N1, origin coordinate H2 of reference plane 2, normal vector N2, center point o, rotation The axis vector v, a matrix rotating by a degrees is R (o, v, a), the vector outer product of the vector X and the vector Y is op (X, Y), the inverse cosine function is arccos (), and the product of the matrix R and the vector X Is R * X). Next, the movement vector T of the arrangement model is set to T = (r−ip (H1−C ′, N1)) * N1 + (r−ip (H2−C ′, N2)) * N2 (however, the origin of the reference plane 1) Coordinate H1, normal vector N1, origin coordinate H2 of reference plane 2, normal vector N2, product of scalar a and vector X: a * X, vector inner product of vector X and vector Y: ip (X, Y), rotation The center point of the subsequent cylindrical surface is calculated by C ′, and the radius of the cylindrical surface is calculated by r) to move the arrangement model (S46).
Thus, another feature of the present invention is that the cylindrical surface can be placed in contact with two reference surfaces simultaneously. For this purpose, a cylindrical surface is input, a first reference surface and a second reference surface are designated, a movement vector is calculated so that the cylindrical surface is in contact with these surfaces, and the arrangement model is moved.

図７は円柱面を持つ配置モデルを１平面に接触するように配置する画面例を示す図である。図７（ａ）は配置前の画面例を示す図であり、図７（ｂ）は配置後の画面例を示す図である。符号２０は配置する円柱面を含むパーツを表し、符号２１は基準面を含むパーツを表し、矢印２２は移動方向を表す。
図８は球面を持つ配置モデルを１平面に接触するように配置する画面例を示す図である。図８（ａ）は配置前の画面例を示す図であり、図８（ｂ）は配置後の画面例を示す図である。符号２５は配置モデルと球面を表し、符号２６はその移動方向を表し、符号２７は基準平面を表す。
図９は円柱面を持つ配置モデルを２平面に接触するように配置する画面例を示す図である。図９（ａ）は配置前の画面例を示す上面図であり、図９（ｂ）は配置前の画面例を示す斜視図であり、図９（ｃ）は配置後の画面例を示す上面図であり、図９（ｄ）は配置後の画面例を示す斜視図である。符号３０は基準平面１を表し、符号３１は基準平面２を表し、符号３２は配置モデルと円柱面を表す。
図１０は円柱面を持つ配置モデルを２平面に接触するように配置する画面例を示す図である。図１０（ａ）は配置前の画面例を示す図であり、図１０（ｂ）は配置後の画面例を示す図である。符号３５は配置する円柱面を含むパーツを表し、符号３６は基準面１を含むパーツを表し、符号３７は基準面２を含むパーツを表す。 FIG. 7 is a diagram showing an example of a screen on which an arrangement model having a cylindrical surface is arranged so as to contact one plane. FIG. 7A is a diagram illustrating a screen example before arrangement, and FIG. 7B is a diagram illustrating a screen example after arrangement. Reference numeral 20 represents a part including a cylindrical surface to be arranged, reference numeral 21 represents a part including a reference surface, and an arrow 22 represents a moving direction.
FIG. 8 is a diagram showing an example of a screen on which an arrangement model having a spherical surface is arranged so as to contact one plane. FIG. 8A is a diagram showing an example of a screen before arrangement, and FIG. 8B is a diagram showing an example of a screen after arrangement. Reference numeral 25 represents an arrangement model and a spherical surface, reference numeral 26 represents a moving direction thereof, and reference numeral 27 represents a reference plane.
FIG. 9 is a diagram illustrating a screen example in which an arrangement model having a cylindrical surface is arranged so as to be in contact with two planes. FIG. 9A is a top view showing a screen example before placement, FIG. 9B is a perspective view showing a screen example before placement, and FIG. 9C is a top view showing a screen example after placement. FIG. 9D is a perspective view showing an example of the screen after arrangement. Reference numeral 30 represents the reference plane 1, reference numeral 31 represents the reference plane 2, and reference numeral 32 represents the arrangement model and the cylindrical surface.
FIG. 10 is a diagram illustrating an example of a screen on which an arrangement model having a cylindrical surface is arranged so as to contact two planes. FIG. 10A is a diagram illustrating a screen example before arrangement, and FIG. 10B is a diagram illustrating a screen example after arrangement. Reference numeral 35 represents a part including a cylindrical surface to be arranged, reference numeral 36 represents a part including the reference plane 1, and reference numeral 37 represents a part including the reference plane 2.

本発明の三次元形状モデルの配置装置の構成を示す図である。It is a figure which shows the structure of the arrangement | positioning apparatus of the three-dimensional shape model of this invention. 本発明の三次元形状モデルの配置装置１００の動作フローチャートである（平面を持つ形状モデルの場合）。It is an operation | movement flowchart of the arrangement | positioning apparatus 100 of the three-dimensional shape model of this invention (in the case of the shape model with a plane). 本発明の三次元形状モデルの配置装置１００の動作フローチャートである（円柱面を持つ形状モデルの場合）。It is an operation | movement flowchart of the arrangement | positioning apparatus 100 of the three-dimensional shape model of this invention (in the case of the shape model with a cylindrical surface). 本発明の三次元形状モデルの配置装置１００の動作フローチャートである（球面を持つ形状モデルの場合）。It is an operation | movement flowchart of the arrangement | positioning apparatus 100 of the three-dimensional shape model of this invention (in the case of the shape model with a spherical surface). 本発明の三次元形状モデルの配置装置１００の動作フローチャートである（頂点を持つ形状モデルの場合）。It is an operation | movement flowchart of the arrangement | positioning apparatus 100 of the three-dimensional shape model of this invention (in the case of the shape model with a vertex). 本発明の三次元形状モデルの配置装置１００の動作フローチャートである（円柱面を持つ形状モデルの場合）。It is an operation | movement flowchart of the arrangement | positioning apparatus 100 of the three-dimensional shape model of this invention (in the case of the shape model with a cylindrical surface). 円柱面を持つ配置モデルを１平面に接触するように配置する画面例を示す図である。It is a figure which shows the example of a screen which arrange | positions the arrangement | positioning model with a cylindrical surface so that it may touch 1 plane. 球面を持つ配置モデルを１平面に接触するように配置する画面例を示す図である。It is a figure which shows the example of a screen which arrange | positions the arrangement | positioning model with a spherical surface so that it may touch 1 plane. 円柱面を持つ配置モデルを２平面に接触するように配置する画面例を示す図である。It is a figure which shows the example of a screen which arrange | positions the arrangement | positioning model with a cylindrical surface so that two planes may be contacted. 円柱面を持つ配置モデルを２平面に接触するように配置する他の画面例を示す図である。It is a figure which shows the other example of a screen which arrange | positions the arrangement | positioning model with a cylindrical surface so that two planes may be contacted.

符号の説明Explanation of symbols

１ モデル指定部、２ 平面指定部、３ 方向指定部、４ オフセット値指定部、５ モデル移動部、６ 三次元形状データ処理部、７ 表示処理部、１０ 三次元形状データ、１０ 三次元形状データ、１１ ディスプレイ、１００ 三次元形状モデルの配置装置   1 model specification unit, 2 plane specification unit, 3 direction specification unit, 4 offset value specification unit, 5 model moving unit, 6 3D shape data processing unit, 7 display processing unit, 10 3D shape data, 10 3D shape data 11 Display, 100 Three-dimensional shape model placement device

Claims (8)

三次元形状モデルを配置する三次元形状モデルの配置装置であって、
配置モデルと該配置モデルの配置要素を指定するモデル指定部と、前記配置要素と平行な基準平面を入力として受け付ける平面指定部と、前記配置要素の移動方向を入力として受け付ける方向指定部と、前記配置要素と基準平面との間のオフセット値を入力として受け付けるオフセット値指定部と、前記配置モデルの移動ベクトルを前記基準平面と配置要素が接触するように、若しくは前記配置要素と基準平面がオフセット値だけ離れた距離になるように予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする三次元形状モデルの配置装置。 A three-dimensional shape model placement device for placing a three-dimensional shape model,
A model designating unit for designating a placement model, a placement element of the placement model, a plane designating unit for accepting a reference plane parallel to the placement element as an input, a direction designating unit for accepting a moving direction of the placement element as an input, An offset value designating unit that accepts an offset value between the placement element and the reference plane as an input, and a movement vector of the placement model so that the reference plane and the placement element are in contact with each other, or the placement element and the reference plane are offset values A three-dimensional shape model placement apparatus, comprising: a model moving unit that moves the placement model by a predetermined method so as to be a distance apart from each other. 前記配置要素は、平面、円柱面、球面、及び頂点の何れかであることを特徴とする請求項１に記載の三次元形状モデルの配置装置。   The apparatus for arranging a three-dimensional shape model according to claim 1, wherein the arrangement element is any one of a plane, a cylindrical surface, a spherical surface, and a vertex. 三次元形状モデルを配置する三次元形状モデルの配置装置であって、
配置モデルと該配置モデルの円柱面を入力として受け付ける円柱面指定部と、第１の基準平面を入力として受け付ける第１基準平面指定部と、第２の基準平面を入力として受け付ける第２基準平面指定部と、前記第１の基準平面と第２の基準平面に前記円柱面が接触するように前記配置モデルの移動ベクトルを予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする三次元形状モデルの配置装置。 A three-dimensional shape model placement device for placing a three-dimensional shape model,
A cylinder surface designation unit that accepts as input an arrangement model, and a cylinder surface of the arrangement model, a first reference plane designation part that accepts a first reference plane as input, and a second reference plane designation that accepts a second reference plane as input A model moving unit that moves the arrangement model by calculating a movement vector of the arrangement model by a predetermined method so that the cylindrical surface is in contact with the first reference plane and the second reference plane. An apparatus for arranging a three-dimensional shape model. 三次元形状モデルを配置する三次元形状モデルの配置方法であって、
配置モデルと該配置モデルの配置要素を指定するモデル指定部と、前記配置要素と平行な基準平面を入力として受け付ける平面指定部と、前記配置要素の移動方向を入力として受け付ける方向指定部と、前記配置要素と基準平面との間のオフセット値を入力として受け付けるオフセット値指定部と、前記配置モデルの移動ベクトルを前記基準平面と配置要素が接触するように、若しくは前記配置要素と基準平面がオフセット値だけ離れた距離になるように予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする三次元形状モデルの配置方法。 A 3D shape model placement method for placing a 3D shape model,
A model designating unit for designating a placement model, a placement element of the placement model, a plane designating unit for accepting a reference plane parallel to the placement element as an input, a direction designating unit for accepting a moving direction of the placement element as an input, An offset value designating unit that accepts an offset value between the placement element and the reference plane as an input, and a movement vector of the placement model so that the reference plane and the placement element are in contact with each other, or the placement element and the reference plane are offset values A three-dimensional shape model arrangement method, comprising: a model moving unit that moves the arrangement model by calculating by a predetermined method so as to be a distance apart from each other. 前記配置要素は、平面、円柱面、球面、及び頂点の何れかであることを特徴とする請求項３に記載の三次元形状モデルの配置方法。   The three-dimensional shape model arrangement method according to claim 3, wherein the arrangement element is any one of a plane, a cylindrical surface, a spherical surface, and a vertex. 三次元形状モデルを配置する三次元形状モデルの配置方法であって、
配置モデルと該配置モデルの円柱面を入力として受け付ける円柱面指定部と、第１の基準平面を入力として受け付ける第１基準平面指定部と、第２の基準平面を入力として受け付ける第２基準平面指定部と、前記第１の基準平面と第２の基準平面に前記円柱面が接触するように前記配置モデルの移動ベクトルを予め決められた方法により計算して前記配置モデルを移動するモデル移動部と、を備えたことを特徴とする三次元形状モデルの配置方法。 A 3D shape model placement method for placing a 3D shape model,
A cylinder surface designation unit that accepts as input an arrangement model, and a cylinder surface of the arrangement model, a first reference plane designation part that accepts a first reference plane as input, and a second reference plane designation that accepts a second reference plane as input A model moving unit that moves the arrangement model by calculating a movement vector of the arrangement model by a predetermined method so that the cylindrical surface is in contact with the first reference plane and the second reference plane. A method of arranging a three-dimensional shape model, comprising: 請求項４乃至６の何れか一項に記載の三次元形状モデルの配置方法をコンピュータが制御可能にプログラミングしたことを特徴とする三次元形状モデルの配置プログラム。   7. A three-dimensional shape model arrangement program, wherein the computer programs the three-dimensional shape model arrangement method according to claim 4 in a controllable manner. 請求項７に記載の三次元形状モデルの配置プログラムをコンピュータが読み取り可能な形式で記録したことを特徴とする記録媒体。   A recording medium in which the three-dimensional shape model arrangement program according to claim 7 is recorded in a computer-readable format.
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