JP4292432B2 - Computer-aided design apparatus, and computer-readable recording medium storing a program for computer-aided design - Google Patents

Description

[0001]
BACKGROUND OF THE INVENTION
  The present invention is a jewelry craft design device that can support a series of design and production activities in the design of jewelry crafts such as rings and brooches.PlaceThe present invention also relates to a computer-readable recording medium on which a design program for jewelry crafts is recorded.
[0002]
[Prior art]
  In recent years, the trend toward diversification and individualization of lifestyles has become prominent, and with the advancement of production technology, personal preference items such as clothes and ornaments are naturally automobiles and home appliances. Even for mass-produced products such as these, the necessity of product development that is conscious of differentiation and upgrading from others has been rapidly recognized. Therefore, technically, there is a demand for a shift from small-quantity mass production to multi-variety small-quantity production, and as a design philosophy, a shift from function-oriented design to design considering human sensitivity.
[0003]
  Based on this need, a system aimed at supporting the design and production of crafts, sensibility products or design products has been developed in order to cope with high-mix low-volume production in the field of computer-aided design equipment. Being put into practical use.
[0004]
[Problems to be solved by the invention]
  However, jewelry crafts such as rings and brooches have complicated and special shapes, and it has been difficult to freely design them with conventional computer-aided design devices. Therefore, in the field of jewelery crafts, much of the design work still had to be relied upon manually.
[0005]
  Therefore, the main problem of the present invention is to provide a computer-aided design device capable of easily performing free design work.PlaceAnother object of the present invention is to propose a computer-readable recording medium in which a program for computer-aided design is recorded.
[0006]
[Means for Solving the Problems]
[0007]
  Of the present invention that has solved the above problemsClaim1The described invention includes a display device, an input device,
  A storage device for storing data of solid figures prepared in advance and designed in the past;
  Display means for reading out the data of the solid figure stored in the storage device by the operation of the input device and displaying a projection view of the solid figure on a predetermined plane on the screen of the display device;
  In response to a bending deformation start command by the input device, a rectangular frame line on the predetermined plane that circumscribes the whole or a part of the planar projection figure displayed on the screen of the display device is determined,
  Receiving a reference line segment acquisition command by the input device, obtaining the length of one side of the rectangular frame line as a reference line segment,
  A radius of an arc on the predetermined plane is calculated with an internal angle as a reference bending angle that is equal to the length of the reference line segment and is determined according to the input of the input device;
  On the other hand, a center point of the reference line segment is calculated, and the circle or arc of the circle or arc is calculated from the center point of the reference line on the straight line passing through the center point of the reference line segment and orthogonal to the reference line segment on the predetermined plane. Set the bending center point at a position separated by the radius,
  Thereafter, a projection point projected on the predetermined plane is obtained for the passing point of the solid figure within the rectangular frame line on the plane projection view,
  Calculating a distance between the projected point and a foot that is lowered from the bending center point with respect to a straight line on the predetermined plane passing through the projected point and parallel to the reference line;
  Movement direction and movement when the projection point is moved to the end point of the arc extending on the predetermined plane by a length equal to the distance between the projection point and the foot with the foot as the center and the foot as the starting point The solid figure obtained by moving the passing point corresponding to the projection point according to the amount is obtained by bending or deforming a part or all of the solid figure within the rectangular frame line on the plane projection view. As the bending part data of the figure,
  Only when the rectangular frame line circumscribes a part of the planar projection view, all the passing points of the solid figure outside the rectangular frame line on the planar projection view are maintained in their mutual positional relationship. On the other hand, the data of the solid figure obtained by moving in accordance with the movement of the boundary surface between the outside of the rectangular frame line and the inside of the rectangular frame line is a part of the solid figure within the rectangular frame line on the plane projection view or When the whole is bent and deformed, as the non-bending portion data of the solid figure outside the rectangular frame line on the plane projection view,
  When the rectangular frame line circumscribes the entire planar projection diagram, a three-dimensional figure after bending deformation determined only by the bending portion data is displayed on the screen of the display device as a projection diagram on a predetermined plane,
  When the rectangular frame line circumscribes a part of the planar projection view, the screen of the display device displays a three-dimensional figure after bending deformation determined by both the bending portion data and the non-bending portion data as a projection view on a predetermined plane. A computer-aided design apparatus comprising: deformation means displayed above.
[0008]
[0009]
  Claim2The invention described isA computer comprising a display device, an input device, and a storage device for storing data of solid figures prepared in advance and designed in the past;
  Display means for reading out the data of the three-dimensional figure stored in the storage device by the operation of the input device, and displaying a projection view of the three-dimensional figure on a predetermined plane on the screen of the display device;
  In response to a bending deformation start command by the input device, a rectangular frame line on the predetermined plane that circumscribes the whole or a part of the planar projection figure displayed on the screen of the display device is determined,
  Receiving a reference line segment acquisition command by the input device, obtaining the length of one side of the rectangular frame line as a reference line segment,
  A radius of an arc on the predetermined plane is calculated with an internal angle as a reference bending angle that is equal to the length of the reference line segment and is determined according to the input of the input device;
  On the other hand, a center point of the reference line segment is calculated, and the circle or arc of the circle or arc is calculated from the center point of the reference line on the straight line passing through the center point of the reference line segment and orthogonal to the reference line segment on the predetermined plane. Set the bending center point at a position separated by the radius,
  Thereafter, a projection point projected on the predetermined plane is obtained for the passing point of the solid figure within the rectangular frame line on the plane projection view,
  Calculating a distance between the projected point and a foot that is lowered from the bending center point with respect to a straight line on the predetermined plane passing through the projected point and parallel to the reference line;
  Movement direction and movement when the projection point is moved to the end point of the arc extending on the predetermined plane by a length equal to the distance between the projection point and the foot with the foot as the center and the foot as the starting point The solid figure obtained by moving the passing point corresponding to the projection point according to the amount is obtained by bending or deforming a part or all of the solid figure within the rectangular frame line on the plane projection view. As the bending part data of the figure,
  Only when the rectangular frame line circumscribes a part of the planar projection view, all the passing points of the solid figure outside the rectangular frame line on the planar projection view are maintained in their mutual positional relationship. On the other hand, the data of the solid figure obtained by moving in accordance with the movement of the boundary surface between the outside of the rectangular frame line and the inside of the rectangular frame line is a part of the solid figure within the rectangular frame line on the plane projection view or When the whole is bent and deformed, as the non-bending portion data of the solid figure outside the rectangular frame line on the plane projection view,
  When the rectangular frame line circumscribes the entire planar projection diagram, a three-dimensional figure after bending deformation determined only by the bending portion data is displayed on the screen of the display device as a projection diagram on a predetermined plane,
  When the rectangular frame line circumscribes a part of the planar projection view, the screen of the display device displays a three-dimensional figure after bending deformation determined by both the bending portion data and the non-bending portion data as a projection view on a predetermined plane. Display means, deformation means;
  Recorded a program to function asIt is characterized by,A computer-readable recording medium having recorded a program for computer-aided design.
[0010]
DETAILED DESCRIPTION OF THE INVENTION
  Hereinafter, embodiments of the present invention will be described in detail with reference to the accompanying drawings.
  <Main components of the device>
  FIG. 1 is a block diagram of a computer-aided design apparatus example 1. The design apparatus 1 mainly includes a CPU 11, a nonvolatile storage device such as a hard disk (hereinafter referred to as hard disks) 12, a RAM 13, an input device 14 including a mouse 14B, a display device 15, and the like.
[0011]
  The hard disks 12 are prepared in advance or designed in the past, three-dimensional coordinate point group data of a three-dimensional figure FB relating to a part or all of a jewelry craft, and control programs and data necessary for the processing operation of the CPU 11. Is remembered. For example, concrete shapes such as leaves, petals, shells and water drops, and abstract shapes such as geometric shapes such as hearts, crescents, and ellipses are prepared in advance as three-dimensional shapes of jewelry crafts. More specifically, a representative cut shape of a ring stone such as a brilliant cut and a representative shape of a ring of a ring are prepared in advance as a partial shape of a jewelry craft.
[0012]
  The data of the solid figure FB includes at least one of a passing point group constituting the figure surface and a control point group for controlling the shape of the figure. Both of these are stored as three-dimensional data (for example, three-dimensional coordinates).
[0013]
  The RAM 13 is an area for temporarily storing data on the solid figure FB read from the hard disks 12 and the edited solid figure FBm edited by modifying the solid figure FB, and an operation for performing calculations necessary for deformation / edit processing, etc. It has areas and so on.
[0014]
  The input device 14 including the mouse 14B gives various commands to the CPU 11 or inputs data. In the figure, 14A indicates a keyboard. By using at least one of these input devices 14A and 14B, for example, a desired three-dimensional figure FB is selected from among three-dimensional figures FB related to a part or all of a plurality of jewelry crafts stored in the hard disks 12, or the read three-dimensional figure A portion to be corrected in the FB is designated, deformed, a dimension for deformation is input, or execution of a correction or deformation command is instructed.
[0015]
  The display device 15 displays a predetermined screen according to a screen display command from the CPU 11.
[0016]
  The CPU 11 performs a processing operation according to the control program read from the hard disks 12 and controls the entire processing operation of the design apparatus 1. For example, the following controls (a) to (d) are mainly performed.
  (B) Receiving input from the input device 14, prepared in advance and designed in the past, necessary for the three-dimensional coordinate point cloud data of the solid figure FB relating to a part or all of the jewelry craft and the processing operation of the CPU 11 Various control programs and data are read from the hard disks 12 to the RAM 13.
[0017]
  (B) Based on the three-dimensional coordinate point group data of the solid figure FB read to the RAM 13, a screen display command is issued to the display device 15 according to the control program.
  Specifically, according to the control program, as shown in FIG. 2, on the same screen D, an XY plan view (plan view) region 15A, a YZ plan view (front view) region 15B, a ZX plan view (side view) region 15C, and The perspective view areas 15D are arranged and displayed simultaneously. The XY plan view area 15A, the YZ plan view area 15B, and the ZX plan view area 15C are a screen coordinate corresponding to the solid coordinate Y of the XY plan view area 15A and a screen corresponding to the solid coordinate Y of the YZ plan view area 15B. It is preferable to display them side by side so that the coordinates coincide with each other and the screen coordinates corresponding to the solid coordinate Z in the YZ plan view area 15B coincide with the screen coordinates corresponding to the solid coordinate Z in the ZX plan view area 15C.
  If necessary, a main menu indicating a main menu necessary for an instruction to read a prepared solid figure FB from the hard disks 12 or write a designed solid figure FBm to the hard disks 12 is shown by a so-called GUI environment. A menu area MM and a submenu area SM indicating a graphic editing command such as deformation of a solid figure in a GUI environment are displayed on the display device 15 together with the XY plan view area 15A and the like. Although not shown, it is also possible to display a message display area (shown as MA in FIG. 10, etc., which will be described later) that teaches the editing work status and work procedure by commands. As a graphic editing command, a movement command of a three-dimensional coordinate point group that defines a three-dimensional figure (specifically, a movement command of a passing point, a moving command of a passing point group, or a moving command of a control point or a moving command of a control point group) Is displayed. It also performs the calculations necessary to execute these commands.
[0018]
  Further, an XY plan view (plan view) FB1, a YZ plan view (front view) FB2, a ZX plan view (side view) FB3, and a perspective view FB4 of the solid figure FB read from the hard disks 12 by the operation of the input device 14 are shown. Display simultaneously in the display area.
  On the other hand, a pointer MP that is moved by the movement of the mouse 14B is displayed on the screen of the display device 15.
[0019]
  (C) If necessary, obtain the three-dimensional coordinates (a, b, c) corresponding to the screen coordinates of the pointer MP position, and display the line pointer consisting of the screen coordinate point group corresponding to the three-dimensional coordinates a as the XY plan view area. And a ZX plane view area, a line pointer consisting of a screen coordinate point group corresponding to the solid coordinate b is displayed in the XY plane view area and the YZ plane view area, and a screen coordinate point group corresponding to the solid coordinate c The line pointer is also displayed in the YZ plan view area and the ZX plan view area. Details will be described later.
[0020]
  (D) In any one of the XY plan view FB1, YZ plan view FB2, and ZX plan view FB3 of the three-dimensional figure FB displayed on the display device 15, a three-dimensional coordinate point or a three-dimensional coordinate point group (passing point) defining the figure , A passing point group, a control point or a control point group) is moved by operating the mouse to deform the figure, the XY plan view FB1, YZ plan view FB2, ZX plane of the solid figure FB on the screen of the display device 15 In all of FIG. FB3 and perspective view FB4, the three-dimensional coordinate point or group of three-dimensional coordinate points is moved to the corresponding position in conjunction with each other.
  When a figure is deformed by moving a three-dimensional coordinate point or a group of three-dimensional coordinates (a passing point, a passing point group, a control point, or a control point group) defining a figure in a perspective view by operating a mouse, 3D coordinate points or groups of 3D coordinate points are moved to corresponding positions in conjunction with each other on the XY plan view FB1, YZ plan view FB2, ZX plan view FB3 and perspective view FB4 of the solid figure FB on the screen. You can also.
[0021]
  <Example of display control in design work>
  Next, the display control of this design apparatus example 1 will be described in detail based on a basic design work example.
  First, the CPU 11 reads out a control program from the hard disks 12 and displays the initial screen shown in FIG. In this initial state, the pointer MP can be moved in all the areas (XY plan view area 15A / YZ plan view area 15B / ZX plan view area 15C / perspective view area 15D / main menu area MM / sub menu area SM). Has been.
[0022]
  In this initial state, first, according to the command display in the main menu area MM, the input device 14 selects a desired three-dimensional figure FB from among three-dimensional figures prepared in advance and designed in the past. Here, it is assumed that a hexagonal pyramid is selected.
[0023]
  The CPU 11 reads out the three-dimensional data of the passing point group and the control point group relating to the selected three-dimensional figure from the hard disk 12 and temporarily stores them in the RAM 13, and based on the data of the passing point group, the same as shown in FIG. On the screen D, a three-dimensional plan view FB1 is displayed in the XY plan view area 15A, a front view FB2 is displayed in the YZ plan view area 15B, a side view FB3 is displayed in the ZX plan view area 15C, and a perspective view FB4. Is displayed in the perspective view area 15D.
[0024]
  Subsequently, editing of the solid figure is performed. Here, it is assumed that an edit command in the submenu area, for example, a control point movement command (not shown) is selected. As shown in FIG. 4, control points 2, 2... For controlling the shapes of the three-dimensional figures FB1 to FB4 are displayed on the screen D. In the case of a hexagonal pyramid, for example, all vertices are displayed as control points 2, 2,.
[0025]
  Then, for example, in YZ plan view FB2 of at least three-dimensional figures FB1 to FB3 displayed on display device 15 as shown in FIG. 4, pointer MP is aligned with control point 2M at the lower right in the figure, as shown in FIG. The mouse is dragged in a desired direction (Y direction in the drawing) to move the control point 2M, and the YZ plan view FB2 of the three-dimensional figure is deformed into a desired shape. Then, in response to the input operation by the mouse, control points 2m, 2m,... Corresponding to each other on the XY plan view FB1, ZX plan view FB3, and perspective view FB4 of the solid figure on the screen of the display device 15 are linked. In accordance with this, the XY plan view FB1, ZX plan view FB3, and perspective view FB4 of the solid figure are deformed in conjunction with each other (the passing point moves). FIG. 6 shows the state before the deformation of the three-dimensional figure after the deformation when the other control point 2M is further moved in the X and Y directions in the XY plan view, and the state after the deformation is shown in FIG. 7 shows. The control points 2, 2... In the perspective view FB4 can also be moved.
[0026]
  In this deformation process, for example, the CPU 11 acquires three-dimensional coordinates corresponding to the screen coordinates (two-dimensional) of the control point 2M after movement, and movement of the corresponding control points 2m, 2m,... In each region based on the three-dimensional coordinates. The subsequent screen coordinates and the screen coordinates after the movement of the passing point group are calculated, and based on the calculation results, the control points after the movement to the display device 15 and the XY plan view FB1, YZ plan view FB2, This is possible by displaying the ZX plan view FB3 and the perspective view FB4 in each display area. Further, the CPU stores the control point group and the passing point group after the movement in the RAM 13 in place of or together with the solid figure previously stored. By the same processing, a group of control points (for example, a plurality of control points on the same plane) is moved by a single mouse drag operation, or a three-dimensional figure passing point and a passing point group are moved. You can also do it.
[0027]
  Preferably, as shown in FIGS. 4 to 7, at the time of this control point moving operation, pointers MP1 to MP4 are displayed in the respective drawing areas at least during the drag operation by the mouse as described below, or Line pointers LP1 to LP4 are displayed. That is, it is clear that the front view FB1, the top view FB2, the side view FB3, and the perspective view FB4 of the solid figure as in the present apparatus 1 can be displayed at the same time, but it is easy to grasp the solid figure. When editing, it may be difficult to specify the mouse point position in the three-dimensional space. In particular, the more complicated the object to be edited, the more difficult it is to align the pointer MP with the control points 2, 2,. In addition, when the control points 2, 2,... Are moved by the drag operation of the mouse 14B, it may be difficult to specify the positions of the control points 2, 2,.
[0028]
  However, for example, the following makes it easy to specify the mouse point position in the three-dimensional space.
  <First pointer display example>
  That is, in the first example, as shown in FIGS. 8 and 9, each of at least an XY plan view (plan view) region, a YZ plan view (front view) region, and a ZX plan view (side view) region on the screen D. In addition, the pointers MP1, MP2, and MP3 are displayed, and when the pointer in any of the XY plan view area, the YZ plan view area, and the ZX plan view area is moved, the pointers in all other areas are linked to each other. Move to position. For example, when the pointer MP2 in the YZ plan view region is moved, the pointers MP1 and MP3 in the other regions are moved to the corresponding positions in conjunction with each other. By comparing the pointers MP1 to MP3 displayed in the display areas of each figure, the point position of the mouse in the three-dimensional space can be accurately grasped. Therefore, the design work can be speeded up. It is preferable to display a plurality of pointers as needed, for example, after selecting an editing command in a submenu and when there is a mouse button input. As shown in the figure, the pointer MP4 that moves to the corresponding position can be displayed in the same manner in the perspective view area.
[0029]
  <Second pointer display example>
  Further, if the above-described line pointer is displayed in each graphic display area instead of or together with the pointer, it becomes easier to identify and grasp the mouse point position. In particular, as shown in FIGS. 4 to 7, it is preferable that the CPU 11 performs the following processes (A) and (B).
[0030]
  (A) The XY plan view region 15A, the YZ plan view region 15B, and the ZX plan view region 15C correspond to the screen coordinates corresponding to the solid coordinate Y of the XY plan view region 15A and the solid coordinate Y of the YZ plan view region 15B. The screen coordinates coincide with each other, and the screen coordinates corresponding to the solid coordinate Z in the YZ plan view area 15B and the screen coordinates corresponding to the solid coordinate Z in the ZX plan view area 15C are displayed side by side.
  (B) One pointer MP is displayed, and three-dimensional coordinates (a, b, c) corresponding to the screen coordinates of the point position are acquired, and a line pointer LP1 composed of a group of screen coordinate points corresponding to the three-dimensional coordinates a. , LP1 are displayed in the XY plan view region 15A and the ZX plan view region 15C, respectively, and line pointers LP2 and LP2 formed of screen coordinate point groups corresponding to the solid coordinates b are displayed in the XY plan view region 15A and the YZ plan view region 15B, respectively. In addition, the line pointers LP3 and LP3 including the screen coordinate point group corresponding to the solid coordinate c are displayed in the YZ plan view region 15B and the ZX plan view region 15C, respectively.
[0031]
  These line pointers LP1 to LP3 are displayed when an edit command in the submenu is selected and a mouse button is input, if necessary. The CPU 11 makes this determination and a command to the display device. If the editing command in the submenu is selected, the line pointers LP1 to LP3 can always be displayed regardless of whether or not there is a mouse button input. In all the states, the line pointers LP1 to LP3 can be always displayed.
[0032]
  For example, in the state shown in FIGS. 4 to 5, the line pointers LP1 to LP3 are displayed at least while dragging the lower right control point 2M in the YZ plan view in the Y direction. In this case, the CPU 11 uses YZ coordinate data (b, c) corresponding to the mouse point position and predetermined X coordinate data (for example, an initial value 0 or a coordinate value after movement at the time of the previous line pointer movement, 0 here). To obtain solid coordinate data (0, b, c). Based on the solid coordinate data (0, b, c), a line pointer LP1 composed of a point group of X = 0 and a line pointer LP2 composed of a point group of Y = b are displayed in the XY plan view area 15A. Let At the same time, a line pointer LP2 composed of Y = b point groups and a line pointer LP3 composed of Z = c point groups are displayed in the YZ plan view area 15B. At the same time, a line pointer LP1 composed of a point group of X = 0 and a line pointer LP3 composed of a point group of Z = c are displayed in the ZX plan view region 15C.
[0033]
  Therefore, if the solid coordinates acquired by the CPU 11 at the start of dragging shown in FIG. 4 are (0, b1, c1), the line pointer LP1 at that time is displayed as a straight line with X = 0, and the line pointer LP2 is Y = b1. The line pointer LP3 is displayed as a straight line with Z = c1. If the solid coordinates acquired by the CPU 11 at the end of dragging shown in FIG. 5 are (0, b2, c2), the line pointer LP1 at that time is displayed as a straight line with X = 0, and the line pointer LP2 is Y = b2. The line pointer LP3 is displayed as a straight line with Z = c2. The line pointers LP1 to LP3 are preferably displayed with dotted lines as shown in the drawing for distinction from the graphic display lines indicated with solid lines.
[0034]
  On the other hand, in the state shown in FIGS. 6 to 7, the CPU 11 performs planar coordinate data (a, b) corresponding to the mouse point position and predetermined Z coordinate data (for example, initial value 0 or movement at the time of previous line pointer movement). Later coordinate values (here, c2) are combined to obtain the solid coordinate data (a, b, c1), and the line pointers LP1 to LP3 are displayed. Therefore, if the solid coordinates acquired by the CPU 11 at the start of dragging shown in FIG. 6 are (a3, b3, c2), the line pointer LP1 at that time is displayed as a straight line of X = a3, and the line pointer LP2 is Y = b3. The line pointer LP3 is displayed as a straight line with Z = c2. Also, assuming that the solid coordinates acquired by the CPU 11 at the end of dragging shown in FIG. 7 are (a4, b4, c2), the line pointer LP1 at that time is displayed as a straight line of X = a4, and the line pointer LP2 is Y = b4. The line pointer LP3 is displayed as a straight line with Z = c2.
[0035]
  Here, when the display of (A) is performed, in the XY plan view region 15A and the YZ plan view region 15B displayed side by side on the same screen D, the line pointer LP2 in the XY plan view region 15A and the YZ plane are displayed. The line pointer LP2 in the drawing area 15B is displayed so as to form a straight line. Similarly, in the YZ plan view region 15B and the ZX plan view region 15C displayed side by side, the line pointer LP3 in the YZ plan view region 15B and the line pointer LP3 in the ZX plan view region 15C form a straight line. Is displayed. Moreover, this display form is maintained even in the process of moving the line pointer accompanying the movement of the mouse point position. Therefore, by comparing the line pointers or the intersections of the line pointers displayed in the display areas of each figure, it is possible to accurately grasp the position of the mouse point in the three-dimensional space and to compare the line pointers in the respective display areas. Is also easier. Therefore, the design work can be further speeded up. However, in the present apparatus 1, only one of the above-described (A) and (B) can be performed.
[0036]
  On the other hand, in the above example, a display area to be edited can be selected, and other areas can be made uneditable. The display area is selected by the input device 14. For example, the selection area is sequentially switched by key input using the keyboard 14A or middle button click of the 3-button mouse 14B. Alternatively, the graphic display area where the pointer MP overlaps is automatically selected by the CPU 11. In this case, for example, when a control point movement command is executed, the control points in the figure displayed in the display area other than the selected area cannot be moved. Further, when the pointer moves to a display area other than the selected display area, the pointer can be automatically returned to the selected display area. Furthermore, when at least one color of the periphery of the selected area, the line pointer in the selected area, the pointer in the selected area, and the figure in the selected area is displayed differently from that of the other area, which area is selected. It is preferable because it can be understood at a glance.
[0037]
  However, even when the display area to be edited is selected, the corresponding position of the corresponding line pointer, control point, etc. in conjunction with the movement of the line pointer, control point, etc. in the selected area and the deformation of the solid figure The movement to, and the transformation of the solid figure are performed.
[0038]
  On the other hand, in the present apparatus 1, an XY plan view (plan view), a YZ plan view (front view), an XZ plan view (side view), and a perspective view can all be displayed with a wire frame. Of these, it is preferable to display only a predetermined figure, for example, a perspective view, by performing a rendering process.
[0039]
  In the present invention, the following three-dimensional figure is modified based on the above-described device configuration and display control. This will be described in detail below.
  <Form according to the present invention: bending deformation>
  In this embodiment, a three-dimensional figure is bent and deformed while maintaining the shape of a cross section perpendicular to the circumferential direction along a circumferential surface determined according to an input by an input device.
[0040]
  FIG. 10 shows the display areas 15A to 15D on the screen D of the display device according to the above-described display form, in which the XY plan view FB1, the YZ plan view FB2, the ZX plan view FB3, and the perspective view FB4 of the cylinder are displayed. It shows the state displayed simultaneously.
[0041]
  In this state, a bending deformation start command is given by the input device 14. This command can be given by operating the keyboard 14A and the mouse 14B. For example, a bending deformation command is displayed as one of various editing commands in the submenu area SM, the pointer MP is set by operating the mouse 14B to the bending deformation command, and the mouse button is clicked. it can.
[0042]
  In response to this bending deformation start command, the CPU 11 receives a plane projection graphic for each of the XY plane figure FB1, YZ plane figure FB2, and ZX plane figure FB3 displayed on the screen D of the display device as shown in FIG. A rectangular frame line on each plane circumscribing the whole is defined. Each side of the rectangular frame line is determined so as to be parallel to one of the coordinate axes of each plane (that is, the X axis and the Y axis in the XY plane). Further, as in the illustrated example, this rectangular frame line is not displayed, and only the control points 2, 2... Can be displayed at all vertices and midpoints of the respective sides. A rectangular frame line may be displayed.
[0043]
  Next, as shown in FIG. 12, the pointer MP is aligned with the control point 2 at the center of one side of the rectangular frame line on the inner side after bending deformation by operating the mouse 14B, and this control point 2 is shown in FIG. Is dragged in accordance with a reference bending angle (see the deformation principle described later) determined according to the amount of movement of the drag in a predetermined direction, along with the ZX plan view FB3 (30) of the solid figure, the XY plan view FB1 (10), and the YZ plan view FB2. (20) and the perspective view FB4 (40) are bent and deformed in conjunction with each other. When the mouse button is released from this drag state, as shown in FIG. 14, an XY plan view FB10, a YZ plan view FB20, a ZX plan view FB30, and a perspective view FB40 regarding the three-dimensional figure after bending deformation are displayed. Further, the CPU 11 can newly define and display rectangular frame lines on each plane circumscribing the entire plane projection figure for each of the bent XY plane figure FB10, the YZ plane figure FB20, and the ZX plane figure FB30. it can. The CPU 11 issues calculation and display commands relating to the bending deformation and the later-described enlargement / reduction deformation and twist deformation.
[0044]
  A command for numerically inputting a reference bending angle is given to the CPU 11 in advance, and in the control point display state shown in FIG. 11 described above, the pointer MP is moved to the center point on one side of the rectangular frame (on the inner side after bending deformation). When the mouse button is clicked in accordance with the control point 2 to be formed, the input of the reference bending angle is waited as shown in FIG. 15, and when the input of the reference bending angle is received, the solid figure as shown in FIG. In addition to the ZX plan view FB31, the XY plan view FB11, the YZ plan view FB21, and the perspective view FB41 can be bent and deformed in conjunction with each other. DG1 shows a bending angle input dialog.
[0045]
  Further, only a part of the three-dimensional figure can be bent and deformed. In the control point display state shown in FIG. 11, the pointer MP is moved to one vertex on one side of a desired rectangular frame as shown in FIG. 17, and this vertex is moved by dragging, as shown in FIG. Only the portion that performs the desired bending deformation is surrounded by the entire control point group (that is, surrounded by the rectangular frame line). After that, as shown in FIG. 19, the pointer MP is adjusted to the desired control point (on the inner side after bending deformation) by the operation of the mouse 14B to the control point 2 that forms the center point on one side of the rectangular frame line, as shown in FIG. If the reference bending angle is determined by dragging the control point 2 or inputting a numerical value as described above, only the portion that performs the bending deformation specified above is bent and deformed according to the reference bending angle. The XY plane view FB12, the YZ plan view FB22, and the perspective view FB42 are deformed in conjunction with the ZX plan view FB32 of the three-dimensional figure so that the portion of FIG. .
[0046]
  <Specific example of calculation method in bending deformation>
  Next, a specific example of a calculation method in bending deformation according to the present invention will be described. When illustrated, it is as shown in FIG. This figure shows a ZX plane projection view FB3 of a cylinder and a figure FB30 after bending deformation of this cylinder. In this figure, a rectangular frame line is defined such that the center in the longitudinal direction of the column FB3 is a bent portion BA and the upper and lower ends are non-bent portions NBA. 2, 2... Indicate the vertices of the rectangular frame line and the center points between the vertices.
[0047]
  First, as described above, the pointer MP is set to the control point 2 that forms the center point of one side of the rectangular frame line, and dragging of the control point 2 is started, or a numerical input command for the reference bending angle is given in advance. If the control point 2 is clicked, the CPU 11 receives the mouse reference line segment acquisition command, determines one side of the rectangular frame line passing through the control point dragged or clicked as a reference line segment Ln, and starts the reference line segment. The ZX plane coordinates (sp (X), sp (Z)) of the point and the ZX coordinates (ep (X), ep (Z)) of the end point are acquired.
[0048]
  Next, the length L1 of the reference line segment is calculated. If the Z-direction coordinate of the start end point sp of the reference line segment is sp (Z) and the Z-direction coordinate of the end point ep of the reference line segment is ep (Z), the length L of the reference line segment is obtained from the following equation.
      L1 = eP (Z) −sP (Z) (1)
[0049]
  Next, the radius r1 (hereinafter referred to as the reference bending) of the arc RN on the ZX plane, which is equal to the length L1 of the reference line segment and has a reference bending angle θ determined in accordance with a drag operation with the mouse or a key input with the keyboard as an inner angle. (Also called radius) is obtained from the following equation.
      r1 = (360.0 × L) / (2.0 × π × θ)
      π ... Pi ratio (the same shall apply hereinafter) (2)
[0050]
  In particular, when the reference bending angle is determined based on a drag operation by the mouse, for example, the following can be performed. That is, as shown in FIG. 22, in the plan view area where the control point 2 is dragged with the mouse among the XY plan view area, the YZ plan view area, and the ZX plan view area, the movement direction of the control point 2 by the drag operation is changed. While obtaining the width ML1, the movement amount ML2 of the control point 2 is calculated. The amount of movement of the control point 2 can be obtained by subtracting the coordinate after movement from the coordinate of the original position of the control point. The reference bending angle θ can be obtained from the following equation based on these.
      θ = 360.0 × ML2 / ML1 (3)
[0051]
  Next, the center point cp of the reference line segment Ln is calculated. The X direction coordinate of the start point sp of the reference line segment is set to sp (X), the Y direction coordinate is set to sp (Y), the Z direction coordinate is set to sp (Z), and the X direction coordinate of the end point ep of the reference line segment is set to ep ( X), Y direction coordinate is ep (Y), and Z direction coordinate is ep (Z), the three-dimensional coordinates (cp (X), cp (Y), cp (Z)) of the center point of the reference line segment are It is obtained from the following formula.
      X coordinate: cp (X) = (sp (X) + ep (X)) / 2
      Y coordinate: cp (Y) = (sp (Y) + ep (Y)) / 2
      Z coordinate: cp (Z) = (sp (Z) + ep (Z)) / 2 (4)
[0052]
  Next, on the straight line on the ZX plane passing through the center point cp of the reference line segment LN and orthogonal to the reference line segment Ln, at a position separated from the center point of the reference line by the radius r1 of the arc RN, A bending center point rp is determined. The three-dimensional coordinates (rp (X), rp (Y), rp (Z)) of the bending center point rp can be calculated from the following equation.
      X coordinate: rp (X) = cp (X) −r1
      Y coordinate: rp (Y) = cp (Y)
      Z coordinate: rp (Z) = cp (Z) (5)
[0053]
  On the other hand, for the bent portion BA, as shown in FIG. 23, a projection point tp1 obtained by projecting the passing points (tp1 (X), tp1 (Y), tp1 (Z)) of the three-dimensional figure onto the ZX plane is obtained. The passing point of the bent portion here is that the Z coordinate value tp1 (Z) is not less than the Z coordinate value sp (Z) of the start end point of the reference line segment and not more than the Z coordinate value ep (Z) of the end point of the reference line segment. belongs to. The coordinates of the projection point tp1 are ZX plane coordinates (tp1 (X), tp1 (Z)) obtained by omitting the Y coordinate from the coordinates of the passing points (tp1 (X), tp1 (Y), tp1 (Z)). Become.
  Next, the distance r2 between the bending center point rp and the foot Q lowered from the bending center point rp with respect to the straight line Li on the ZX plane that passes through the projection point tp1 and is parallel to the reference line segment (hereinafter referred to as the distance r2). , Called the bending radius). This bending radius r2 is obtained from the following equation.
      r2 = r1 + (tp1 (X) −cp (X)) (6)
[0054]
  Next, from the projection point tp1, the center angle θ2 of the arc Ri extending on the ZX plane by a length equal to the distance between the projection point tp1 and the foot Q with the bending center point rp as the center and the foot Q as the starting end is calculated. To do. This central angle θ2 is obtained from the following equation, for example.
      θ2 = (tp1 (Z) −cp (Z)) / R2 (7)
  The end point of this arc is the ZX plane coordinate of the projection point after bending.
[0055]
  The coordinates (tp2 (X), tp2 (Z)) of the projection point after bending can be obtained from the following equation.
      tp2 (X) = rr × sin (θ2) + rp (X)
      tp2 (Z) = rr × cos (θ2) + rp (Z) (8)
[0056]
  Then, data of a three-dimensional figure (indicated by a one-dot chain line in the figure) obtained by moving the passing point corresponding to the projection point according to the movement direction and the movement amount is obtained as bending part data of the three-dimensional figure. Specifically, in the bending deformation of the present invention, the X coordinate and Z coordinate of the projection point and the corresponding X coordinate and Z coordinate of the passing point are the same before and after bending, and the Y coordinate of the passing point is bent. Since it does not change before and after, the coordinates of the passing point of the bent portion after bending are (tp2 (X), tp1 (Y), tp2 (Z)).
[0057]
  The ZX coordinates (sp2 (X), sp2 (Z)) of the start point sp2 of the reference line segment and the ZX coordinates (ep2 (X), ep2 (Z)) of the end point ep2 after the bending deformation are also respectively shown. Obtain it (see FIG. 24 and FIG. 25).
[0058]
  Next, as shown in FIG. 24, the ZX coordinates (sp2 (X), sp2 (Z)) of the starting end point sp2 of the reference line segment after bending deformation and the starting end point sp2 of the reference line segment in the ZX plane are shown in the drawing. A difference from the ZX plane coordinates (sp20 (X), sp20 (Z)) of the point sp20 that is rotated counterclockwise by θ / 2 degrees is taken. It becomes as follows.
  X direction first difference distance XL1 = sp20 (X) -sp2 (X)
  Z direction first difference distance ZL1 = sp20 (Z) −sp2 (Z) (9)
[0059]
  Projection points tp1 (tp1 (X1) on the ZX plane with respect to the passing points (tp1 (X), tp1 (Y), tp1 (Z)) of the lower bent portion NBA in the figure with respect to the center point of the reference line segment ), Tp1 (Z)), is rotated about the bending center point rp around the left in the figure by θ / 2 degrees, and the ZX plane coordinates (tp20 (X20) of the projection point tp20 after this rotational movement are obtained. ), Tp20 (Z)). Note that the passing point of the lower non-bending portion in the drawing is such that the Z coordinate value tp1 (Z) is smaller than the Z coordinate value sp (Z) of the starting end point of the reference line segment.
[0060]
  Further, the X-direction first difference distance XL1 and the Z-direction first difference distance XL2 described above are respectively set to the X-coordinate and the Z-coordinate of the ZX plane coordinates (tp2 (X), tp2Z) of the projection point tp20 after the rotational movement. In addition, the ZX plane coordinates (tp2 (X), tp2 (Z)) of the projection point tp2 of the lower non-bending portion NBA after moving along with the bending deformation of the bending portion BA are obtained.
[0061]
  The Y coordinate of the passing point corresponding to the projection point tp2 does not change. Therefore, the three-dimensional coordinates of the lower non-bending portion NBA after moving along with the bending deformation of the bending portion BA are (tp2 (X), tp1 (Y), tp2 (Z)).
[0062]
  On the other hand, as shown in FIG. 25, the ZX coordinates (sp2 (X), sp2 (Z)) of the end point sp2 of the reference line segment after bending deformation and the end point sp2 of the reference line segment in the ZX plane are shown in the figure. A difference from the ZX plane coordinates (sp20 (X), sp20 (Z)) when rotated counterclockwise by θ / 2 degrees is taken. It becomes as follows.
  X direction second differential distance XL2 = sp20 (X) -sp2 (X)
  Z direction second differential distance ZL2 = sp20 (Z) −sp2 (Z) (10)
[0063]
  A projection point tp1 (tp1 (X)) on the ZX plane with respect to a passing point (tp1 (X), tp1 (Y), tp1 (Z)) of the upper non-bending portion NBA in the drawing with respect to the center point of the reference line segment , Tp1 (Z)) is obtained, rotated about the bending center point rp by θ / 2 degrees clockwise in the figure, and the ZX plane coordinates (tp20 (X)) of the projection point tp20 after this rotational movement are obtained. , Tp20 (Z)). Here, the passing point of the upper non-bending portion NBA in the figure is such that the Z coordinate value tp1 (Z) is larger than the Z coordinate value sp (Z) of the starting end point of the reference line segment.
[0064]
  Further, the X-direction second difference distance XL2 and the Z-direction second difference distance are respectively set to the X-coordinate and the Z-coordinate of the ZX plane coordinates (tp20 (X), tp20 (Z)) of the projection point tp20 after the rotational movement. By adding ZL2, the ZX plane coordinates (tp2 (X), tp2 (Z)) of the projection point tp2 of the upper non-bending portion NBA after moving along with the bending deformation of the bending portion BA are obtained.
[0065]
  The Y coordinate of the passing point corresponding to the projection point tp2 does not change. Therefore, the three-dimensional coordinates of the upper non-bending portion NBA after moving along with the bending deformation of the bending portion BA are (tp2 (X), tp1 (Y), tp2 (Z)).
[0066]
  Based on the three-dimensional coordinates of the bent part BA and the three-dimensional coordinates of the non-bent part NBA regarding the three-dimensional figure after bending deformation obtained by the above calculation, a new XY plan view and YZ plane regarding the three-dimensional figure after bending deformation are newly provided. A figure, a ZX plan view, and a perspective view are displayed in each display area. The CPU 11 performs the above calculation. Further, the CPU 11 stores the three-dimensional coordinate data of the three-dimensional figure after the bending deformation in the RAM 13 instead of or together with the three-dimensional coordinate data of the three-dimensional figure before the bending deformation stored in the RAM 13.
[0067]
  Although not shown in the figure, when the entire three-dimensional figure becomes the bent portion BA (when the transformation is performed with the rectangular frame line circumscribing the entire ZX plane figure), the CPU 11 performs only the calculation related to the bent portion BA. The XY plan view, YZ plan view, ZX plan view, and perspective view relating to the three-dimensional figure after the bending deformation are newly displayed on the respective display areas based on only the bending portion data obtained by this.
[0068]
  <Others>
  In the form according to the present invention, the above-described display control example is adopted, but the present invention is not limited to this. For example, any one of an XY plan view, a YZ plan view, a ZX plan view, and a perspective view can be displayed at a time on the screen of the display device.
[0069]
  Moreover, the control program of the present invention for controlling the computer as shown in the embodiment of the present invention can be recorded on a computer-readable recording medium such as a CD-ROM. A computer-readable recording medium recording the control program of the present invention is also included in the present invention.
[0070]
【The invention's effect】
  As described above, according to the present invention, it is possible to freely design jewelry crafts.
[Brief description of the drawings]
FIG. 1 is a block diagram showing a design apparatus.
FIG. 2 is a schematic diagram showing a screen in an initial state.
FIG. 3 is a schematic diagram showing a screen on which a graphic prepared in advance is read and displayed.
FIG. 4 is a schematic diagram showing a screen before moving a control point.
FIG. 5 is a schematic diagram showing a screen after movement of control points.
FIG. 6 is a schematic diagram showing a screen before further control point movement.
FIG. 7 is a schematic diagram showing a screen after further movement of control points.
FIG. 8 is a schematic diagram showing a screen before moving control points according to another example.
FIG. 9 is a schematic diagram showing a screen after movement of control points according to another example.
FIG. 10 is a schematic diagram showing a screen display state of a design form according to the present invention.
FIG. 11 is a schematic diagram showing a screen display state of a design form according to the present invention.
FIG. 12 is a schematic diagram showing a screen display state of a design form according to the present invention.
FIG. 13 is a schematic diagram showing a screen display state of a design form according to the present invention.
FIG. 14 is a schematic view showing a screen display state of a design form according to the present invention.
FIG. 15 is a schematic view showing a screen display state of a design form according to the present invention.
FIG. 16 is a schematic view showing a screen display state of a design form according to the present invention.
FIG. 17 is a schematic diagram showing a screen display state of a design form according to the present invention.
FIG. 18 is a schematic view showing a screen display state of a design form according to the present invention.
FIG. 19 is a schematic view showing a screen display state of a design form according to the present invention.
FIG. 20 is a schematic diagram showing a screen display state of a design form according to the present invention.
FIG. 21 is an explanatory diagram of a calculation example related to the design form according to the present invention.
FIG. 22 is an explanatory diagram of a calculation example related to the design form according to the present invention.
FIG. 23 is an explanatory diagram of a calculation example related to the design form according to the present invention.
FIG. 24 is an explanatory diagram of a calculation example related to the design form according to the present invention.
FIG. 25 is an explanatory diagram of a calculation example related to the design form according to the present invention.
[Explanation of symbols]
  DESCRIPTION OF SYMBOLS 1 ... Computer-aided design apparatus, 2 ... Control point, 11 ... CPU, 12 ... Hard disk, 13 ... RAM, 14 ... Input device, 14B ... Mouse, 15 ... Display apparatus.

Claims (2)

A display device, an input device,
A storage device for storing data of solid figures prepared in advance and designed in the past;
Display means for reading out the data of the solid figure stored in the storage device by the operation of the input device and displaying a projection view of the solid figure on a predetermined plane on the screen of the display device;
In response to a bending deformation start command by the input device, a rectangular frame line on the predetermined plane that circumscribes the whole or a part of the planar projection figure displayed on the screen of the display device is determined,
Receiving a reference line segment acquisition command by the input device, obtaining the length of one side of the rectangular frame line as a reference line segment,
A radius of an arc on the predetermined plane is calculated with an internal angle as a reference bending angle that is equal to the length of the reference line segment and is determined according to the input of the input device;
On the other hand, a center point of the reference line segment is calculated, and the circle or arc of the circle or arc is calculated from the center point of the reference line on the straight line passing through the center point of the reference line segment and orthogonal to the reference line segment on the predetermined plane. Set the bending center point at a position separated by the radius,
Thereafter, a projection point projected on the predetermined plane is obtained for the passing point of the solid figure within the rectangular frame line on the plane projection view,
Calculating a distance between the projected point and a foot that is lowered from the bending center point with respect to a straight line on the predetermined plane passing through the projected point and parallel to the reference line;
Movement direction and movement when the projection point is moved to the end point of the arc extending on the predetermined plane by a length equal to the distance between the projection point and the foot with the foot as the center and the foot as the starting point The solid figure obtained by moving the passing point corresponding to the projection point according to the amount is obtained by bending or deforming a part or all of the solid figure within the rectangular frame line on the plane projection view. As the bending part data of the figure,
Only when the rectangular frame line circumscribes a part of the planar projection view, all the passing points of the solid figure outside the rectangular frame line on the planar projection view are maintained in their mutual positional relationship. On the other hand, the data of the solid figure obtained by moving in accordance with the movement of the boundary surface between the outside of the rectangular frame line and the inside of the rectangular frame line is a part of the solid figure within the rectangular frame line on the plane projection view or When the whole is bent and deformed, as the non-bending portion data of the solid figure outside the rectangular frame line on the plane projection view,
When the rectangular frame line circumscribes the entire planar projection diagram, a three-dimensional figure after bending deformation determined only by the bending portion data is displayed on the screen of the display device as a projection diagram on a predetermined plane,
When the rectangular frame line circumscribes a part of the planar projection view, the screen of the display device displays a three-dimensional figure after bending deformation determined by both the bending portion data and the non-bending portion data as a projection view on a predetermined plane. A computer-aided design apparatus comprising: deformation means for displaying above. A computer comprising a display device, an input device, and a storage device for storing data of solid figures prepared in advance and designed in the past;
Display means for reading out the data of the three-dimensional figure stored in the storage device by the operation of the input device, and displaying a projection view of the three-dimensional figure on a predetermined plane on the screen of the display device;
In response to a bending deformation start command by the input device, a rectangular frame line on the predetermined plane that circumscribes the whole or a part of the planar projection figure displayed on the screen of the display device is determined,
Receiving a reference line segment acquisition command by the input device, obtaining the length of one side of the rectangular frame line as a reference line segment,
A radius of an arc on the predetermined plane is calculated with an internal angle as a reference bending angle that is equal to the length of the reference line segment and is determined according to the input of the input device;
On the other hand, a center point of the reference line segment is calculated, and the circle or arc of the circle or arc is calculated from the center point of the reference line on the straight line passing through the center point of the reference line segment and orthogonal to the reference line segment on the predetermined plane. Set the bending center point at a position separated by the radius,
Thereafter, a projection point projected on the predetermined plane is obtained for the passing point of the solid figure within the rectangular frame line on the plane projection view,
Calculating a distance between the projected point and a foot that is lowered from the bending center point with respect to a straight line on the predetermined plane passing through the projected point and parallel to the reference line;
Movement direction and movement when the projection point is moved to the end point of the arc extending on the predetermined plane by a length equal to the distance between the projection point and the foot with the foot as the center and the foot as the starting point The solid figure obtained by moving the passing point corresponding to the projection point according to the amount is obtained by bending or deforming a part or all of the solid figure within the rectangular frame line on the plane projection view. As the bending part data of the figure,
Only when the rectangular frame line circumscribes a part of the planar projection view, all the passing points of the solid figure outside the rectangular frame line on the planar projection view are maintained in their mutual positional relationship. On the other hand, the data of the solid figure obtained by moving in accordance with the movement of the boundary surface between the outside of the rectangular frame line and the inside of the rectangular frame line is a part of the solid figure within the rectangular frame line on the plane projection view or When the whole is bent and deformed, as the non-bending portion data of the solid figure outside the rectangular frame line on the plane projection view,
When the rectangular frame line circumscribes the entire planar projection diagram, a three-dimensional figure after bending deformation determined only by the bending portion data is displayed on the screen of the display device as a projection diagram on a predetermined plane,
When the rectangular frame line circumscribes a part of the planar projection view, the screen of the display device displays a three-dimensional figure after bending deformation determined by both the bending portion data and the non-bending portion data as a projection view on a predetermined plane. Display means, deformation means;
And characterized by recording a program for functioning as a recording medium readable by the recording a computer program for computer-aided design.

Images