JP6152536B2 - Section marking device and section marking program - Google Patents

Section marking device and section marking program Download PDF

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JP6152536B2
JP6152536B2 JP2014225786A JP2014225786A JP6152536B2 JP 6152536 B2 JP6152536 B2 JP 6152536B2 JP 2014225786 A JP2014225786 A JP 2014225786A JP 2014225786 A JP2014225786 A JP 2014225786A JP 6152536 B2 JP6152536 B2 JP 6152536B2
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marking
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cut
reinforcing bar
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中島 徹
徹 中島
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株式会社ア−キテック
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Description

本発明は、建築物を構成する柱や梁などの様々な躯体や、躯体内に配設されている鉄筋等の構成要素(以下「躯体等」と記す)について、断面と端面を容易に区別することに寄与する断面標示装置及び断面標示プログラムに関する。   The present invention makes it easy to distinguish between the cross section and the end face of various structural elements such as pillars and beams that constitute a building, and structural elements such as reinforcing bars (hereinafter referred to as “frames, etc.”) arranged in the structural body. The present invention relates to a cross-section labeling apparatus and a cross-section labeling program that contribute to the performance.

前記躯体等の断面状態、配置状態又は躯体の配筋状態など(以下「検証内容」と記す)の検証作業は、三次元CADシステムの断面図作成機能(例えば下記特許文献参照)を利用して既に編集された画像データから目的に応じた情報を抽出し、断面図、配置図、外観図又は内観図など(以下「検証図」と記す)を適宜作成し、当該検証図を参照しつつ行う手法が採られている。 The verification work of the cross-sectional state, the arrangement state or the bar arrangement state of the frame (hereinafter referred to as “validation contents”) is performed using the cross-sectional view creation function of the three-dimensional CAD system (for example, refer to the following patent document). Extract information according to the purpose from the already edited image data, and create a cross-sectional view, layout view, external view or interior view (hereinafter referred to as “verification view”) as appropriate, and perform it while referring to the verification view The technique is taken.

特開2001−227060号公報JP 2001-227060 A 特開2011−037079号公報JP 2011-037079 A

例えば、前記検証内容に関する情報を得ようとする際、所定の操作で与えられた平面(以下「境界面」と記す)で切断された断面(以下「指定断面」と記す)に含まれる各要素の断面(以下「要素断面」と記す)や躯体等が本来有する始終端(以下「要素端面」と記す)は、当該躯体等の軸方向から正視すると、当該躯体等の仕様に応じた最小面積の断面形状(以下「仕様形状」と記す)で表現され、視線と当該躯体等の軸との間に傾斜が生じれば、当該傾斜角度に応じて前記仕様形状が歪んだ形で表現されるが、両者の判別は困難である。
更に、視線と当該躯体等の軸との間に生じる傾斜が直角になると、前記躯体等の要素断面は単なる直線で表現され(図13参照)、要素断面と前記境界面に近接して存在する躯体等の要素端面との区別は略不可能である。
For example, each element included in a cross section (hereinafter referred to as “designated cross section”) cut along a plane (hereinafter referred to as “boundary plane”) given by a predetermined operation when attempting to obtain information on the verification content. The cross section (hereinafter referred to as “element cross section”) and the initial end (hereinafter referred to as “element end face”) of the housing, etc. are the minimum area according to the specifications of the housing, etc. If the inclination occurs between the line of sight and the axis of the casing, the specification shape is expressed in a distorted form according to the inclination angle. However, it is difficult to distinguish between the two.
Further, when the inclination generated between the line of sight and the axis of the casing becomes a right angle, the element cross section of the casing or the like is represented by a simple straight line (see FIG. 13), and exists close to the element cross section and the boundary surface. It is almost impossible to distinguish from an element end face such as a frame.

従来、この様な不都合は、断面を取り出した後に前記躯体等の断面を指定し、前記躯体等の端面とは相違する任意の形態に変形し、又は前記断面に前記躯体等の端面と異なる彩色を施すなどの措置を採ることによって解消されていた。   Conventionally, such an inconvenience is that after the cross section is taken out, the cross section of the casing or the like is specified, and is deformed to an arbitrary form different from the end face of the casing or the like, or the cross section is colored differently from the end face of the casing or the like It was solved by taking measures such as giving.

しかしながら、建築物の指定断面に表れる前記躯体等の形態を前記要素断面と要素端面とに識別する作業は、例えば、鉄筋であれば、配筋リストなどを参照しつつ個々の鉄筋の仕様を慎重に確認しつつ行わねばならず、大変時間と労力がかかる作業であった。   However, the operation of identifying the form of the frame or the like appearing in the designated cross section of the building between the element cross section and the element end face is, for example, for a reinforcing bar, carefully refer to the bar arrangement list and the specifications of each reinforcing bar. It was a very time-consuming and labor-intensive task.

本発明は、上記実情に鑑みてなされたものであって、指定した境界面で切断された前記要素断面と当該境界面付近の要素端面との区別を、各々の断面形態を目視できる範囲において如何なる角度から見た場合であっても容易に行うことができる断面標示装置及び断面標示プログラムの提供を目的とする。   The present invention has been made in view of the above circumstances, and the distinction between the element cross section cut at the specified boundary surface and the element end surface in the vicinity of the boundary surface can be made within a range in which each cross-sectional form can be visually observed. An object is to provide a cross-section marking apparatus and a cross-section marking program that can be easily performed even when viewed from an angle.

上記課題を解決するためになされた本発明は、指定の境界面で切断される物体を検出する切断物体検出手段と、前記境界面で切断される切断物体の断面に前記境界面に含まれ得る視線(前記境界面に描ける線を一部又は全部とする視線)で視認できる波状の標示面を設ける標示手段を備えることを特徴とする断面標示装置と、コンピュータに、前記断面標示装置として機能させることを特徴とする断面標示プログラムである。
前記標示手段は、例えば、前記切断鉄筋の断面の一部を中心とする外周の位相αに対しsinα×定数を深度とする波状を備える標示面を設ける手法を採ることができる。
The present invention made in order to solve the above-mentioned problem may be included in the boundary surface in a section of a cut object detecting means for detecting an object cut at a specified boundary surface and a cut object cut at the boundary surface A cross-sectional marking device comprising a marking means for providing a wavy marking surface that can be visually recognized by a visual line (a visual line having a part or all of a line drawn on the boundary surface) and a computer function as the cross-sectional marking device This is a cross-section marking program.
For example, the marking means may employ a technique of providing a marking surface having a wave shape with a depth of sin α × constant with respect to the phase α of the outer periphery centering on a part of the section of the cut reinforcing bar.

前記断面標示装置は、例えば、躯体に内包される鉄筋の配筋状態を検証しようとする際には、指定の境界面で切断される切断躯体を検出する指定躯体検出手段と、前記切断躯体に含まれる構成鉄筋を検出する鉄筋検出手段と、前記構成鉄筋から前記境界面で切断される切断鉄筋を検出する切断鉄筋検出手段と、前記切断鉄筋の断面に前記境界面に含まれ得る視線で視認できる波状の標示面を設ける標示手段を備える断面標示装置とすることができる。   The cross-section marking device, for example, when trying to verify the bar arrangement state of the reinforcing bars contained in the housing, a specified housing detecting means for detecting a cutting housing cut at a specified boundary surface, and the cutting housing Reinforcement detecting means for detecting the constituent reinforcing bars included, cutting reinforcing bar detecting means for detecting the cutting reinforcing bars cut at the boundary surface from the constituent reinforcing bars, and a line of sight that can be included in the boundary surface in the section of the cut reinforcing bars It can be set as a cross-sectional marking apparatus provided with the marking means which provides the wavy marking surface which can be performed.

本発明による断面標示装置によれば、前記境界面で切断される切断物体の断面に前記境界面に含まれ得る視線で視認できる波状の標示面を設けることによって、指定した境界面で切断された前記要素断面と当該境界面付近の要素端面との区別を容易に行うことができる。   According to the cross-sectional marking device according to the present invention, the cross-section of the cut object cut at the boundary surface is provided with a wavy marking surface that can be visually recognized with a line of sight that can be included in the boundary surface, thereby being cut at the specified boundary surface. The element cross section and the element end face near the boundary surface can be easily distinguished.

この様に、建築物の指定断面に表れる前記躯体等の形態を前記要素断面と要素端面とに識別する際に、構成要素のリストなどを参照しつつ個々の仕様を慎重に確認すると言った多大な時間と労力がかかる作業を回避することができるので、負担無く速やかに配筋状態の検証作業を行うことに寄与する。   In this way, when identifying the form of the frame or the like appearing in the specified cross section of the building between the element cross section and the element end face, it is said that the individual specifications should be carefully checked while referring to the list of components. Therefore, it is possible to avoid a time-consuming and labor-intensive work, which contributes to a quick check of a bar arrangement state without a burden.

本発明による断面標示装置のオブジェクト構成及びハードウエア構成の一例を示すブロック図である。It is a block diagram which shows an example of the object structure and hardware structure of the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる処理の一例を示すフローチャートである。It is a flowchart which shows an example of the process performed with the cross-sectional marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理における標示面分割処理の一例を示すフローチャートである。It is a flowchart which shows an example of the marking surface division | segmentation process in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理における三角形群移動処理の一例を示すフローチャートである。It is a flowchart which shows an example of the triangle group movement process in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理におけるアップベクトル作成処理(指定点)の一例を示すフローチャート及び説明図である。It is the flowchart and explanatory drawing which show an example of the up vector creation process (designated point) in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理におけるアップベクトル作成処理(節点及び終点)の一例を示すフローチャートである。It is a flowchart which shows an example of the up vector creation process (a node and an end point) in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理におけるアップベクトル作成処理(節点及び終点)の一例を示す説明図である。It is explanatory drawing which shows an example of the up vector creation process (a node and an end point) in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理における始点、節点及び終点並びに端面及び要素断面の一例を示す説明図である。It is explanatory drawing which shows an example of the start point in the marking process performed with the cross-section marking apparatus by this invention, a node, an end point, an end surface, and an element cross section. 本発明による断面標示装置で行われる標示処理における断面深度算出処理の一例を示すフローチャート及び説明図である。It is the flowchart and explanatory drawing which show an example of the cross-section depth calculation process in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理における標示面分割処理の一例を示すフローチャート及び説明図である。It is the flowchart and explanatory drawing which show an example of the marking surface division | segmentation process in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置で行われる標示処理における標示面分割処理の一例を示す説明図である。It is explanatory drawing which shows an example of the marking surface division | segmentation process in the marking process performed with the cross-section marking apparatus by this invention. 本発明による断面標示装置を含むCADシステムで表示される断面及び端面の一例を示す画像である。It is an image which shows an example of a section and an end surface displayed with a CAD system containing a section indication device by the present invention. 従来のCADシステムで表示される断面及び端面の一例を示す画像である。It is an image which shows an example of the section and end face displayed with the conventional CAD system .

以下、本発明による断面標示装置及び断面標示プログラムの実施の形態を、それを組み込んだ配筋検証支援装置を例として図面に基づき詳細に説明する。
尚、ここで例示する配筋検証支援装置は、三次元の編集データ及びその投影データを編集する機能(以下「編集機能」と記す)を有する建築物用三次元CADシステム(以下「CADシステム」と記す)である。
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Embodiments of a cross-section marking apparatus and a cross-section marking program according to the present invention will be described below in detail with reference to the drawings, taking as an example a reinforcement arrangement verification support apparatus incorporating the section marking program.
The bar arrangement verification support device exemplified here is a three-dimensional CAD system for buildings (hereinafter referred to as “CAD system ”) having a function of editing three-dimensional editing data and projection data thereof (hereinafter referred to as “editing function”). ).

図1に示す例は、CPU、ROM、RAM、ハードディスク等の記録媒体、入出力インターフェース、通信インターフェースなどのハードウエア資源を備え、前記記録媒体にオペレーションシステムOS及びアプリケーションプログラムAPなどのプログラムがインストールされたコンピュータシステムとして前記CADシステムを実現した例である。 The example shown in FIG. 1 includes hardware resources such as a CPU, a ROM, a RAM, a recording medium such as a hard disk, an input / output interface, and a communication interface, and programs such as an operation system OS and an application program AP are installed on the recording medium. This is an example in which the CAD system is realized as a computer system.

前記CADシステムは、ユーザーの指示を入力するマウスオブジェクト1、前記マウスオブジェクト1で入力された指示に基づき図形データ又はテキストデータを編集するための前記編集機能を有し編集した情報を保存し管理する建築物データオブジェクト2、前記データに基づき指定躯体の所望境界面で切断された断面を有する立体を作成する切断オブジェクト3、前記建築物データオブジェクト2又は前記切断オブジェクト3で作成した前記図形データ又はテキストデータを表示するための表示オブジェクト4を備えた構成を有する(図1(A)参照)。 The CAD system has a mouse object 1 for inputting a user instruction, and has an editing function for editing graphic data or text data based on the instruction input by the mouse object 1, and stores and manages the edited information. Building data object 2, cutting object 3 for creating a solid having a cross section cut at a desired boundary surface of a specified frame based on the data, the graphic data or text created by the building data object 2 or the cutting object 3 It has a configuration including a display object 4 for displaying data (see FIG. 1A).

[マウスオブジェクト]
前記マウスオブジェクト1は、ディスプレイ画面のカーソルを移動して、マウス等で行われる入力操作の内容(指令など)及び画面座標(画面の位置を示す二次元座標系による座標)を前記表示オブジェクト4へ送信する。
[Mouse object]
The mouse object 1 moves the cursor on the display screen, and the contents of the input operation (command, etc.) and the screen coordinates (coordinates based on the two-dimensional coordinate system indicating the position of the screen) performed with the mouse or the like are sent to the display object 4. Send.

[表示オブジェクト]
前記表示オブジェクト4は、グラフィックオブジェクトと表示行列(アフィン変換行列)を含む。
前記表示オブジェクト4は、前記マウスオブジェクト1が出力する指令など、当該表示オブジェクト4に対して与えられる種々の指令により、前記建築物データオブジェクト2又は前記切断オブジェクト3などで作成された建築物データ又はその建築物の構成要素である躯体の形態及び構造を軸座標、表皮座標、断面座標又は円半径などで表す編集データ(以下「躯体データ」と記す)及びそれらの投影データをグラフィックオブジェクト(例えば「DirectX(登録商標)」又は「OpenGL(登録商標)」など)に送りディスプレイ画面に表示する。
[Display Object]
The display object 4 includes a graphic object and a display matrix (affine transformation matrix).
The display object 4 is the building data created by the building data object 2 or the cutting object 3 or the like according to various commands given to the display object 4 such as a command output by the mouse object 1 or Editing data (hereinafter referred to as “frame data”) representing the form and structure of the building, which is a component of the building, in terms of axis coordinates, skin coordinates, cross-sectional coordinates, circle radius, and the like, and projection data thereof as graphic objects (for example, “ DirectX (registered trademark) "or" OpenGL (registered trademark) "etc.) and displayed on the display screen.

[建築物データオブジェクト]
前記建築物データオブジェクト2は、前記マウスオブジェクト1等と連携して前記編集機能を果たす編集手段と、当該編集手段で作成した編集データ及びその投影データを保存し管理する保存手段を備える。
[Building Data Object]
The building data object 2 includes an editing unit that performs the editing function in cooperation with the mouse object 1 and the like, and a storage unit that stores and manages editing data created by the editing unit and projection data thereof.

(編集手段)
前記編集手段は、前記マウスオブジェクト1から得た前記入力操作の内容及び画面座標から編集空間の空間座標を導き、建築物を構成する躯体などに分けて、前記躯体データ及びその投影データなどの形で前記保存手段の記録エリアに保有する。
(Editing means)
The editing means derives the space coordinates of the editing space from the contents of the input operation obtained from the mouse object 1 and the screen coordinates, and divides the space coordinates of the editing space into the structures constituting the building. In the recording area of the storage means.

前記編集手段は、前記躯体データを作成し、又はそれらを組み合わせて床伏図、天井伏図、立面図、平面図などの前記建築物データに編集する。
前記編集手段で作成された前記建築物データ又は前記躯体データは、例えば、DXF形式など所定形式のデータとして前記保存手段の記録手段に保存する。
The editing means creates the frame data or combines them to edit the building data such as floor plan, ceiling plan, elevation, and plan views.
The building data or the frame data created by the editing unit is stored in the recording unit of the storage unit as data in a predetermined format such as DXF format.

この例の、前記床伏図の前記建築物データ及び前記躯体データは、当該床伏図に含まれる躯体の属性データ及び各躯体に配される鉄筋の配筋リストデータ並びにその躯体に用いられる鉄筋に関するデータ(以下「鉄筋データ」と記す)を含めて構成する。
尚、前記属性データは、例えば、建築物を構成する階層、当該階層に含まれる柱又は梁などの躯体分類並びに当該躯体の躯体軸及び躯体表皮(表面を厚みの無い皮と見立てた)を特定するデータである。
In this example, the building data and the frame data of the floor plan are the attribute data of the frame included in the floor plan, the bar arrangement list data of the reinforcing bars arranged in each frame, and the reinforcing bars used for the frame. Data (hereinafter referred to as “rebar data”).
Note that the attribute data specifies, for example, the hierarchy constituting the building, the enclosure classification such as pillars or beams included in the hierarchy, and the enclosure axis and enclosure skin (the surface is assumed to be a thin skin) of the enclosure. It is data to be.

(保存手段)
前記保存手段は、例えば、階層にあっては、“1F”などの文字列を保有し、躯体分類にあっては、“柱”などの文字列を保有し、躯体軸にあっては、当該躯体軸を構成する直線の連結点(節点)を連続した点群として保有し、躯体断面にあっては、前記節点を含む断面(平面)を構成する多角形として保有し、前記断面を形作る辺を含めて構成される四角形又はそれを分割した三角形ABC及びその頂点P0〜Pn(図10参照)の座標を表皮座標として記録手段に保有する。
(Storage means)
For example, the storage means has a character string such as “1F” in the hierarchy, a character string such as “post” in the case classification, and the character string in the case axis. Sides that hold the connecting points (nodes) of the straight lines that form the frame axis as a continuous point group, and are held as polygons that form the cross section (plane) that includes the nodes in the case of the cross section of the frame. Is stored in the recording means as the skin coordinates, the coordinates of the quadrangle including the triangle ABC or the triangle ABC obtained by dividing the quadrangle and the vertices P0 to Pn (see FIG. 10).

前記表皮座標は、前記躯体表皮の平面又は曲面を、例えば、線形関数、細分されたメッシュ又は三角形群を構成する各三角形の座標として保存する。
尚、前記線形関数は、平面又は曲面に仮想の格子線を与え、個々の線に対して、例えば、法線方向の増加量を格子線の始点からの距離に比例して変化させるなどの方法を、数式又はプログラムで定義するものである。
As the skin coordinates, the plane or curved surface of the body skin is stored as, for example, a linear function, a subdivided mesh, or coordinates of each triangle constituting a triangle group.
The linear function gives a virtual grid line to a plane or curved surface, and, for example, a method of changing the amount of increase in the normal direction in proportion to the distance from the starting point of the grid line for each line. Are defined by mathematical formulas or programs.

前記配筋リストデータは、建築物を構成する前記躯体ごとに、各躯体が内包する鉄筋の使用情報及び配置情報を含むデータである。
また、前記鉄筋データは、各躯体に含まれる鉄筋の鉄筋名称(属性)、鉄筋材質、鉄筋軸及び鉄筋径などのデータである。
尚、鉄筋の表皮座標等は、前記鉄筋径から擬似多角形を作成し、前記鉄筋軸の線形(鉄筋線形)に沿ってスイープする処理等によって適宜作成する。
この様に軸に対して規格化した肉(表皮)付けを行う手法の選択によって、記録手段の記録領域をいたずらに消費することを防止することができる。
The bar arrangement list data is data including use information and arrangement information of reinforcing bars included in each case for each case constituting the building.
The reinforcing bar data is data such as a reinforcing bar name (attribute), a reinforcing bar material, a reinforcing bar axis, a reinforcing bar diameter, and the like of the reinforcing bars included in each case.
It should be noted that the skin coordinates and the like of the reinforcing bars are appropriately generated by a process of creating a pseudo polygon from the reinforcing bar diameter and sweeping along the rebar axis line (rebar alignment).
In this way, by selecting a method for applying a standardized meat (skin) to the shaft, it is possible to prevent the recording area of the recording means from being consumed unnecessarily.

前記鉄筋軸は、この建築物用三次元CADシステムにおける三次元座標系の編集空間に表される点、直線又は曲線である。
前記曲線は、円、円弧、楕円、楕円弧、放物曲線、双曲線、ベジエ曲線、クロソイド曲線その他の曲線であって、数式又は関数で定義される線分である。
The rebar axis is a point, a straight line, or a curve represented in the editing space of the three-dimensional coordinate system in the three-dimensional CAD system for buildings.
The curve is a circle, an arc, an ellipse, an elliptic arc, a parabola, a hyperbola, a Bezier curve, a clothoid curve or another curve, which is a line segment defined by a mathematical expression or a function.

前記鉄筋名称及び前記鉄筋径は、例えば、前記鉄筋名称に代わる記号と前記鉄筋径に代わる数字を組み合わせて保有する。
前記鉄筋径は、鉄筋の直径である。鉄筋の半径は、前記鉄筋軸と直交する方向の当該鉄筋軸から表皮までの距離である。
The reinforcing bar name and the reinforcing bar diameter are, for example, a combination of a symbol that replaces the reinforcing bar name and a number that replaces the reinforcing bar diameter.
The rebar diameter is the diameter of the rebar. The radius of the reinforcing bar is the distance from the reinforcing bar axis to the skin in the direction perpendicular to the reinforcing bar axis.

前記半径は、一定であってもよく、又は軸に沿って円錐、円錐台又はコークボトル型のように、直線的又は曲線的な軸に沿った比例変化を与えてもよい。   The radius may be constant or may provide a proportional change along a linear or curvilinear axis, such as a cone, truncated cone or coke bottle type along the axis.

[切断オブジェクト]
前記切断オブジェクト3は、本発明による断面標示装置の一例であって、コンピュータに、前記切断オブジェクト(断面標示装置)3として機能させる断面標示プログラムと、前記ハードウエア資源とが協働して動作する。
この例の前記切断オブジェクト3は、指定された階の床伏図の前記投影データ及び当該投影データに含まれる躯体の前記配筋リストデータから三次元画像の投影データを作成しディスプレイ画面に表示する表示手段と、指定の境界面で切断される切断躯体を検出する指定躯体検出手段と、前記切断躯体に含まれる構成鉄筋を検出する鉄筋検出手段と、前記構成鉄筋から前記境界面で切断される切断鉄筋を検出する切断鉄筋検出手段(切断物体検出手段)と、前記切断鉄筋の断面を前記境界面に含まれ得る視線で視認できる波状の標示面に成形する標示手段を備える。
[Cut object]
The cutting object 3 is an example of a cross-sectional marking device according to the present invention, and a cross-sectional marking program that causes a computer to function as the cutting object (cross-sectional marking device) 3 and the hardware resource operate in cooperation. .
The cutting object 3 in this example creates projection data of a three-dimensional image from the projection data of the floor plan of the designated floor and the bar arrangement list data of the frame included in the projection data, and displays them on the display screen. Display means, designated housing detection means for detecting a cutting housing cut at a specified boundary surface, reinforcing bar detection means for detecting a structural reinforcing bar included in the cutting housing, and cutting from the structural reinforcing bar at the boundary surface A cutting rebar detection means (cutting object detection means) for detecting a cutting rebar, and a marking means for forming a cross section of the cutting rebar into a wavy marking surface that can be visually recognized with a line of sight that can be included in the boundary surface.

以下、前記切断オブジェクト3により行われる、表示処理、指定躯体検出処理、鉄筋検出処理、境界面設定処理、切断鉄筋検出処理及び標示処理並びにそれらに付随する諸処理の一例を示す。   Hereinafter, an example of a display process, a specified frame detection process, a reinforcing bar detection process, a boundary surface setting process, a cut reinforcing bar detection process, a marking process, and various processes associated with them performed by the cutting object 3 will be described.

(表示処理)
前記表示処理では、当該切断オブジェクト3の表示手段は、例えば、前記マウスオブジェクト1からの指令に基づき表示すべき階層の指定を受け、前記建築物データオブジェクト2に対して、当該建築物データオブジェクト2の記録エリアに保存されたすべての前記建築物データ又は前記躯体データから、指定した階層に含まれる柱データ(柱の躯体データ)及び梁データ(梁の躯体データ)を検索する指令を出力する。
(Display processing)
In the display process, the display means for the cut object 3 receives, for example, designation of a hierarchy to be displayed based on a command from the mouse object 1, and the building data object 2 with respect to the building data object 2. A command for searching column data (column frame data) and beam data (beam frame data) included in the designated hierarchy is output from all the building data or the frame data stored in the recording area.

当該指令を受けた前記建築物データオブジェクト2は、前記切断オブジェクト3に対して上記指令の検索結果を出力する。
前記検索結果を受けた前記表示手段は、例えば、前記床伏図の前記建築物データ又は前記躯体データに基づいて前記投影データを作成し前記表示オブジェクト4へ出力する。
当該表示オブジェクト4は、保有するグラフィックオブジェクトと表示行列で、前記切断オブジェクト3から受けた前記投影データを、躯体表皮の面又は線として前記ディスプレイ画面に表示する。
The building data object 2 that has received the command outputs the search result of the command to the cutting object 3.
The display unit that has received the search result creates the projection data based on the building data or the frame data of the floor plan and outputs the projection data to the display object 4, for example.
The display object 4 is a graphic object and a display matrix that it holds, and displays the projection data received from the cutting object 3 on the display screen as a surface or line of the body skin.

(指定躯体検出処理)
前記指定躯体検出処理では、前記指定躯体検出手段は、前記マウスオブジェクト1からの指令に基づき配筋を検討すべき対象となる躯体の指定を受け、当該切断オブジェクト3の前記指定躯体検出手段に対して、指定された躯体を特定する指令を出力する。
当該指令を受けた当該切断オブジェクト3の前記指定躯体検出手段は、例えば、前記ディスプレイ画面に表示された床伏図において、前記入力操作(例えばマウスによる「クリック操作」)で指定した躯体を特定する。
(Specified housing detection processing)
In the designated body detection process, the designated body detection means receives designation of a body to be considered for reinforcement arrangement based on a command from the mouse object 1, and receives the designation body detection means of the cut object 3 from the designated body detection means. Command to specify the specified enclosure.
The designated body detection means of the cut object 3 that has received the command specifies, for example, the body designated by the input operation (for example, “click operation” by the mouse) on the floor plan displayed on the display screen. .

その際、前記指定躯体検出手段は、前記入力操作で指定した前記画面座標(カーソルの位置座標)の一点を通る画面法線を導くと共に、当該画面法線を編集空間の三次元座標に変換し、前記編集空間内で当該画面法線と交差する躯体を検出する。
前記指定躯体検出手段は、指定した躯体を検出すると、当該切断オブジェクト3の鉄筋検出手段に当該躯体を通知して次の処理に移り、躯体を検出できなければ、前記表示オブジェクト4等を介してユーザーに注意を促し、当該ユーザーの入力操作で躯体が指定されるまで待機する。
At that time, the designated body detection means derives a screen normal passing through one point of the screen coordinates (cursor position coordinates) designated by the input operation, and converts the screen normal into the three-dimensional coordinates of the editing space. Then, a frame that intersects the screen normal in the editing space is detected.
When the designated body detecting means detects the designated body, it notifies the reinforcing bar detecting means of the cutting object 3 of the body and proceeds to the next process. If the body cannot be detected, the designated body detecting means passes the display object 4 or the like. The user is alerted and waits until the chassis is specified by the user's input operation.

(鉄筋検出処理)
前記指定躯体検出手段から切断対象となる躯体の通知を受けた前記鉄筋検出手段は、前記建築物データオブジェクト2に対して、指定された躯体に含まれる物体(鉄筋等)を特定する指令を出力する。
前記指令を受けた前記建築物データオブジェクト2(前記鉄筋検出手段)は、当該建築物データオブジェクト2の記録エリアに格納されたすべての躯体データから、指定した階層の前記柱データ及び前記梁データを検索し、指定された躯体に含まれる全ての鉄筋データを当該切断オブジェクト3の記録エリアに保存する。
(Rebar detection processing)
The reinforcing bar detecting means that has received the notification of the cutting target casing from the designated casing detecting means outputs a command for specifying an object (such as a reinforcing bar) included in the designated casing to the building data object 2. To do.
The building data object 2 (the reinforcing bar detection means) that has received the command receives the column data and the beam data of the specified hierarchy from all the frame data stored in the recording area of the building data object 2. The search is performed, and all the reinforcing bar data included in the designated housing is stored in the recording area of the cutting object 3.

(境界面設定処理)
この例の前記境界面設定手段は、前記指定躯体検出手段から切断対象となる躯体の指定検出を受け、当該躯体表皮と前記画面法線との交点(以下「指定点」と記す)を通り且つ当該躯体の躯体軸方向を指すベクトルを法線とする境界面を導くと共に、以下の切断鉄筋検出処理を行う。
(Boundary plane setting process)
In this example, the boundary surface setting means receives the designation detection of the chassis to be cut from the designated chassis detection means, passes through the intersection (hereinafter referred to as “designated point”) between the chassis skin and the screen normal line, and A boundary surface whose normal is a vector indicating the body axis direction of the body is guided, and the following cut reinforcing bar detection processing is performed.

(切断鉄筋検出処理)
即ち、この例の切断鉄筋検出処理は、前記切断鉄筋検出手段により、軸と断面で構成された物体データを検出し、検出されたデータのなかから円断面を持つデータを鉄筋データとして検出し、更に、検出された鉄筋データのなかから軸の端点が前記境界面と接している鉄筋データを検出し、これらのすべてを満たす鉄筋データに標示フラグを立てて、それらを標示対象データとして当該切断オブジェクト3の記録エリアに保存する(図2参照)。
(Cutting rebar detection processing)
That is, in the cut reinforcing bar detection processing of this example, the cut reinforcing bar detection means detects object data composed of an axis and a cross section, detects data having a circular cross section from the detected data as reinforcing bar data, Further, from the detected reinforcing bar data, the reinforcing bar data in which the end of the shaft is in contact with the boundary surface is detected, a marking flag is set on the reinforcing bar data satisfying all of these, and the cutting object is used as the marking target data. 3 (see FIG. 2).

(標示処理)
この例の前記標示処理は、前記標示手段により、前記標示フラグを立てた鉄筋に対して、以下に示す一連の処理を行う。
即ち、鉄筋の断面に標示面を設ける場合には、前記境界面で切断した鉄筋(構成要素)の軸端における半径r(又は断面形状)を前記配筋リストデータ及び鉄筋データに基づいて取得する処理A、XY面(所定の二次元平面)上に半径rの円(又は取得した断面形状)を作成する処理B、当該円(又は取得した断面形状)を多角形に変換する処理Cを行い、当該多角形を鉄筋軸の指定点(境界面)に移動する処理D、当該指定点(境界面)に移動した多角形に標示面を形成する処理Eを順に行う。
前記標示手段は、前記処理Eの際又はその後に、前記多角形を多数の三角形に分割する処理Fを行う(図3参照)。
(Marking process)
In the labeling process of this example, the marking unit performs the following series of processes on the reinforcing bar on which the labeling flag is set.
That is, when providing a marking surface on the cross section of the reinforcing bar, the radius r (or cross-sectional shape) at the shaft end of the reinforcing bar (component) cut at the boundary surface is acquired based on the bar arrangement list data and the reinforcing bar data. Process A, process B for creating a circle (or acquired cross-sectional shape) with radius r on the XY plane (predetermined two-dimensional plane), and process C for converting the circle (or acquired cross-sectional shape) into a polygon Then, a process D for moving the polygon to a specified point (boundary surface) of the reinforcing bar axis and a process E for forming a marking surface on the polygon moved to the specified point (boundary surface) are sequentially performed.
The marking means performs a process F for dividing the polygon into a large number of triangles during or after the process E (see FIG. 3).

(標示面分割処理)
前記処理Dは、指定点(境界面)での軸ベクトルを取得する処理D1と、前記指定点(境界面)のアップベクトルを導く処理D2と、鉄筋軸を構成する直線の各連結点(以下「節点」と記す)、前記指定点の座標、当該指定点における断面法線(断面の法線)及び当該指定点におけるアップベクトルから前記三角形群を指定点(境界面)に導くアフィン変換行列を作成する処理D3と、前記指定点(境界面)に前記三角形群を移動する処理D4を順に行う(図4(A)参照)。
(Marking surface division processing)
The process D includes a process D1 for obtaining an axis vector at a designated point (boundary surface), a process D2 for deriving an up vector of the designated point (boundary surface), and connecting points (hereinafter referred to as connecting points) of straight lines constituting a reinforcing bar axis. An affine transformation matrix that leads the group of triangles to the designated point (boundary surface) from the coordinates of the designated point, the cross-section normal at the designated point (cross-section normal), and the up vector at the designated point. A process D3 to be created and a process D4 to move the triangle group to the designated point (boundary surface) are sequentially performed (see FIG. 4A).

前記アップベクトルを導く処理は、例えば、指定した鉄筋の始端(多角形)から終端(始端と同じ多角形)に至る側面を、平面(四角形又は三角形)を筒状に配置した集合体と見立て、その平面にねじれが生じない様に、前記鉄筋の表皮を構成する平面の配置始点を揃えるための処理である。
当該アップベクトルを始点として前記鉄筋の表皮を構成する各平面を配置すれば、通知された鉄筋の鉄筋軸が如何なる態様で屈曲しようとも、当該鉄筋軸に捩れが伴うことはなく、その鉄筋表皮も捩れることはない(図4(B)参照)。
The process of deriving the up vector is, for example, assuming that the side surface from the start end (polygon) to the end (polygon same as the start end) of the specified reinforcing bar is an aggregate in which planes (squares or triangles) are arranged in a cylindrical shape, This is a process for aligning the arrangement start points of the planes constituting the skin of the reinforcing bar so that the planes are not twisted.
If each plane constituting the rebar skin is arranged from the up vector as a starting point, the rebar axis of the rebar will not be twisted in any manner, and the rebar skin will not be twisted. There is no twist (see FIG. 4B).

前記処理D2は、前記指定点(境界面)におけるアップベクトルとして、当該指定点を含む直線の始点又は始点である節点におけるアップベクトルを、当該指定点を含む直線を法線ベクトルとし且つ当該指定点を含む投影面(前記境界面)に、当該直線のベクトル方向から射影したベクトルを設定する処理である。
その際、当該物体の軸に含まれる当該指定点又はその前後の点におけるアップベクトルを導く処理は以下の通りである。
The process D2 uses, as an up vector at the designated point (boundary surface), an up vector at a start point of a straight line including the designated point or a node that is the starting point, a straight line including the designated point as a normal vector, and the designated point. Is a process in which a vector projected from the vector direction of the straight line is set on the projection plane including the boundary (the boundary plane).
At that time, the process of deriving the up vector at the designated point included in the axis of the object or the points before and after the designated point is as follows.

(始点のアップベクトル作成処理)
具体的には、その物体の軸(ここでは鉄筋軸)が屈曲し、複数の直線の連結として表示されている場合には、当該物体の軸の始点を有する直線のベクトルと次の直線のベクトルとの外積を求め、それをアップベクトルとする。一方、その物体の軸が屈曲していない場合には、当該直線の始点を有するベクトルと最も直角に近い座標軸(編集空間)のベクトルの外積を求め、それをアップベクトルとする(図5参照)。
(Start point up vector creation process)
Specifically, when the axis of the object (here, the reinforcing bar axis) is bent and displayed as a connection of a plurality of straight lines, a straight line vector having the start point of the axis of the object and the next straight line vector Is obtained as an up vector. On the other hand, when the axis of the object is not bent, the cross product of the vector having the start point of the straight line and the vector of the coordinate axis (edit space) closest to the right angle is obtained and used as an up vector (see FIG. 5). .

(節点のアップベクトル作成処理)
鉄筋など構成要素の軸を構成する単数又は複数の直線の節点におけるアップベクトルは、前記始端のアップベクトルを初期値V0と置く処理と、当該節点の前後節点における直線のベクトルから平均ベクトルを導く処理と(図7参照)、当該平均ベクトルを法線ベクトルとし且つ当該節点を含む平均面を当該節点における投影面として導く処理と、当該平均面に対して直前の投影面に射影したアップベクトルを前の直線のベクトル方向から射影する射影行列を作成する処理と、当該節点のアップベクトルVnとして直前の節点のアップベクトルVn−1に前記射影行列を乗じたアップベクトルVn−1・射影行列を導きVnの内容を更新する処理を、始端から終端までの間に存在する全節点について行う(図6乃至図8参照)。
(Node up vector creation process)
The up vector at the node of a single or plural straight lines constituting the axis of a component such as a reinforcing bar is a process of placing the up vector at the starting end as an initial value V0, and a process of deriving an average vector from a vector of straight lines at nodes before and after the node (Refer to FIG. 7), a process of deriving an average plane including the node as a normal vector and a projection plane at the node as a projection plane, and an up vector projected onto the projection plane immediately before the average plane. A process of creating a projection matrix that projects from the vector direction of the straight line of the line, and an up vector Vn−1 / projection matrix obtained by multiplying the up vector Vn−1 of the previous node by the projection matrix as the up vector Vn of the node is derived Vn. The process of updating the contents of is performed for all nodes existing from the start to the end (see FIGS. 6 to 8).

(終点のアップベクトル作成処理)
前記鉄筋軸の終点(前記鉄筋軸の終端)におけるアップベクトルは、前記終端に至る直前の直線のベクトルを法線とする投影面を導く処理と、前記投影面に対して直前の直線のベクトル方向から射影する射影行列を作成する処理と、当該終点のアップベクトルVnとして直前の節点のアップベクトルVn−1に前記射影行列を乗じて得たアップベクトルVn−1・射影行列で更新する処理を行う。
(End vector up vector creation process)
The up vector at the end point of the reinforcing bar axis (end of the reinforcing bar axis) is a process for deriving a projection plane whose normal is the straight line vector immediately before reaching the end, and the vector direction of the straight line immediately before the projection plane A process for creating a projection matrix to be projected from the above and a process for updating the up-vector Vn−1 / projection matrix obtained by multiplying the above-mentioned projection matrix by the up-vector Vn−1 of the previous node as the up-vector Vn of the end point. .

尚、前記標示処理は、上記アップベクトル作成処理で導いたアップベクトルが視線(前記画面法線)と一致し又は直交する場合に、波状の標示面の目視可能な領域が減少し、又は目視できる標示面が僅かとなることによって、指定した境界面で切断された前記要素断面と当該境界面付近の要素端面との区別が難しくなることに備え、前記処理で導いたアップベクトルを、当該境界面を含む各投影面において、当該アップベクトルの始点を中心として回転させる位相補正処理を加える構成とすることも可能である。   Note that, in the marking process, when the up vector derived in the up vector creation process is coincident with or perpendicular to the line of sight (the screen normal), the visible area of the wavy marking surface is reduced or visible. Due to the fact that the marking surface becomes small, it becomes difficult to distinguish between the element cross section cut at the specified boundary surface and the element end surface in the vicinity of the boundary surface. It is also possible to add a phase correction process that rotates around the start point of the up-vector in each projection plane including.

その際、前記標示手段は、前記境界面におけるアップベクトルと前記画面法線との交差角度が所定値(例えば5度、10度又は15度)を下回るか否かを検証する処理と、当該交差角度が基準値を下回る場合にはその交差角度がその基準値(好ましくは15度から30度)を上回る様に(最適値は45度)、当該境界面におけるアップベクトルを当該アップベクトルの始点を中心として回転させる処理を行う。   At that time, the marking means verifies whether or not the intersection angle between the up vector and the screen normal on the boundary surface is less than a predetermined value (for example, 5 degrees, 10 degrees, or 15 degrees); If the angle is less than the reference value, the crossing angle exceeds the reference value (preferably 15 to 30 degrees) (the optimum value is 45 degrees). A process of rotating around the center is performed.

(三角形群移動処理)
前記処理D3は、例えば、各三角形の各頂点の座標のZ軸とY軸がそれぞれ鉄筋軸(深度)方向とアップベクトル方向へ向くように回転させる回転行列を求め、その後各三角形を、前記指定点、前記節点又は前記終点に移動する移動行列を求め、各々直前の直線のベクトル方向から前記境界面、各節点の平均面又は終点端面各々の断面領域に射影する射影行列を求める処理である。
前記処理D4は、上記行列をXY平面上の多角形の各頂点座標に順に乗じ、前記境界面、各節点の平均面又は終点端面各々の断面領域(投影面)に射影された点を取得する。
(Triangle group movement processing)
The process D3, for example, obtains a rotation matrix that rotates the Z-axis and Y-axis of the coordinates of each vertex of each triangle so as to face the rebar axis (depth) direction and the up vector direction, respectively, and then designates each triangle as the designation This is a process of obtaining a movement matrix that moves to a point, the node, or the end point, and obtaining a projection matrix that projects from the vector direction of the immediately preceding straight line to the boundary surface, the average surface of each node, or the cross-sectional area of each end point end surface.
The process D4 sequentially multiplies each of the vertex coordinates of the polygon on the XY plane by the matrix to obtain a point projected on the boundary surface, the average surface of each node, or the cross-sectional area (projection surface) of each end surface. .

始点、終点の前記端面法線は、前記境界面の法線とするか、軸方向とするかは、任意に選択できる。これは、断面は楕円となるが、その楕円に対して深度を変化させるか、又は、斜めに切断されても、軸又は軸を構成する直線と直角な面で切断し、円に対して深度を変化させるかの選択である。   It can be arbitrarily selected whether the end surface normal of the start point and the end point is the normal of the boundary surface or the axial direction. This is because the cross-section becomes an ellipse, but the depth is changed with respect to the ellipse, even if the depth is changed with respect to the ellipse, or even if it is cut obliquely, it is cut along the axis or a plane perpendicular to the axis constituting the axis. It is a choice whether to change.

(断面深度設定処理)
前記処理Eは、前記多角形の頂点から当該多角形の中心に対する中心角を導く処理、前記切断鉄筋の断面の一部を中心とする外周の位相α(前記アップベクトルを位相0度とする中心角の累積値)に対し、(sinα×定数)を深度(Z座標)とする波状を備える標示面を形成する処理及び当該標示面を備えた鉄筋データを、当該躯体の躯体データの一部として当該切断オブジェクト3の記録手段に保存する処理を順に行う(図9参照)。
尚、前記定数は、半径rの0.1倍から3.0倍程度が望ましい。
(Cross-section depth setting process)
The process E includes a process of deriving a central angle from the vertex of the polygon with respect to the center of the polygon, a phase α of the outer periphery centering on a part of the cross section of the cut reinforcing bar (a center with the up vector as a phase of 0 degree) As a part of the frame data of the frame, the processing for forming a marking surface having a wave shape with (sin α × constant) as the depth (Z coordinate) and the reinforcing bar data including the marking surface is used as a part of the frame data of the frame. The process of saving the cutting object 3 in the recording means is performed in order (see FIG. 9).
The constant is preferably about 0.1 to 3.0 times the radius r.

(標示面分割処理)
前記処理Fは、前記境界面における鉄筋の断面領域(以下「標示面」と記す)において当該境界面をXY平面(三次元の相対座標)とするZ座標(深度)が最高位に位置する前記多角形の頂点をP0とする処理、当該頂点P0から左回り(又は右回り)に頂点Pに番号を付す処理、nに多角形の頂点番号−1を代入し三角形ABCの各頂点をA=P(i),B=P(n−i),C=P(n+1)とする処理を順に行うと共に、各三角形の頂点座標を当該切断オブジェクト3の記録手段に保存する(図10参照)。
(Marking surface division processing)
In the process F, the Z coordinate (depth) in which the boundary surface is the XY plane (three-dimensional relative coordinates) in the cross-sectional area of the reinforcing bar in the boundary surface (hereinafter referred to as “labeling surface”) is located at the highest position. The process of setting the vertex of the polygon to P0, the process of assigning a number to the vertex P counterclockwise (or clockwise) from the vertex P0, and substituting the polygon vertex number −1 for n to each vertex of the triangle ABC is A = The processing of P (i), B = P (n−i), and C = P (n + 1) is sequentially performed, and the vertex coordinates of each triangle are stored in the recording unit of the cutting object 3 (see FIG. 10).

前記切断オブジェクト3の記録手段に保存された前記標示面に形成される多角形は、前記の如く三角形群に分割されて、各々前記標示面に対して前記断面深度設定処理で導いた異なる深度を持つ頂点の座標を反映しつつ波状の標示面を形成する(図11参照)。
その際、前記Z座標(深度)が最高位に位置する前記多角形の頂点をP0とし、以下、高さが比較的低い三角形を前記標示面に与えられた波に沿って配置することによって、当該標示面を複数の平面の連結で表現でき、表示や演算など様々な処理及びそれらの処理に伴うメモリーや演算時間の節約並びにファイルサイズの削減に寄与することになる。
前記表示手段は、例えば、前記躯体データに基づいて前記投影データを作成し前記表示オブジェクト4へ出力する。
The polygons formed on the marking surface stored in the recording means of the cutting object 3 are divided into triangle groups as described above, and each of the marking surfaces has a different depth derived by the cross-sectional depth setting process. A wavy marking surface is formed while reflecting the coordinates of the vertices (see FIG. 11).
At that time, the vertex of the polygon where the Z coordinate (depth) is located at the highest position is P0, and by arranging a triangle having a relatively low height along the wave given to the marking surface, The marking surface can be expressed by connecting a plurality of planes, which contributes to various processes such as display and calculation, saving of memory and calculation time associated with these processes, and reduction of file size.
For example, the display means creates the projection data based on the housing data and outputs the projection data to the display object 4.

1 マウスオブジェクト,2 建築物データオブジェクト,3 切断オブジェクト,
4 表示オブジェクト,
1 mouse object, 2 building data object, 3 cut object,
4 display objects,

Claims (4)

三次元CAD機能を有し、
三次元CAD機能により作成されたオブジェクトから指定の境界面で切断される切断物体を検出する切断物体検出手段と、
前記境界面で切断される切断物体の断面に前記境界面に含まれ得る視線で視認できる波状の標示面を設ける標示手段を備えることを特徴とする断面標示装置。
Has a three-dimensional CAD function,
A cutting object detecting means for detecting a cutting object is cut at the specified interface from the object created by the three-dimensional CAD function,
A cross-sectional marking device comprising: marking means for providing a wavy marking surface that can be visually recognized with a line of sight that can be included in the boundary surface in a cross-section of a cut object cut at the boundary surface.
三次元CAD機能を有し、
三次元CAD機能により作成されたオブジェクトから指定の境界面で切断される切断躯体を検出する指定躯体検出手段と、
三次元CAD機能により作成されたオブジェクトから前記切断躯体に含まれる構成鉄筋を検出する鉄筋検出手段と、
前記構成鉄筋から前記境界面で切断される切断鉄筋を検出する切断鉄筋検出手段と、
前記切断鉄筋の断面に前記境界面に含まれ得る視線で視認できる波状の標示面を設ける標示手段を備えることを特徴とする断面標示装置。
Has a three-dimensional CAD function,
Designated housing detection means for detecting a cutting housing cut at a designated boundary surface from an object created by the three-dimensional CAD function ;
Reinforcing bar detecting means for detecting a constituent reinforcing bar included in the cutting casing from an object created by a three-dimensional CAD function ;
Cutting reinforcing bar detecting means for detecting a cutting reinforcing bar cut at the boundary surface from the constituent reinforcing bars,
A cross-sectional marking device comprising: marking means for providing a wavy marking surface that can be visually recognized with a line of sight that can be included in the boundary surface in a cross-section of the cut reinforcing bar.
前記標示手段は、前記切断鉄筋の断面の一部を中心とする外周の位相αに対しsinα×定数を深度とする波状を備える標示面を設けることを特徴とする前記請求項2に記載の断面標示装置。 The cross section according to claim 2, wherein the marking means includes a marking surface having a wave shape with sin α × constant as a depth with respect to a phase α of an outer periphery centering on a part of a cross section of the cut reinforcing bar. Marking device. コンピュータ
三次元CAD機能を有し、且つ三次元CAD機能により作成されたオブジェクトから指定の境界面で切断される切断物体を検出する切断物体検出手段と、前記境界面で切断される切断物体の断面に前記境界面に含まれ得る視線で視認できる波状の標示面を設ける標示手段を備える断面標示装置として機能させることを特徴とする断面標示プログラム。
The computer,
Have a three-dimensional CAD function and a cutting object detecting means for detecting a cutting object is cut at the specified interface from the object created by the three-dimensional CAD function, the cross-section of the cutting object is cut at the boundary surface A cross-section labeling program that functions as a cross-section labeling device including a marking unit that provides a wavy marking surface that can be visually recognized by a line of sight that can be included in the boundary surface.
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