Abstract: There is prepared V-CAD data obtained by dividing external data 12 consisting of boundary data of an object into rectangular parallelepiped cells 13 having boundary planes orthogonal to each other in accordance with octree division and separating the respective divided cells into internal cells 13a positioned on the inner side of the object and boundary cells 13b including a boundary face, and mold data and mold processing data used to manufacture the object are generated from data of a reference plane which at least partially comes into contact with the object 1 and the V-CAD data. Further, in the mold processing data, a plurality of the processing tools 2 are selected in descending order of a size in accordance with sizes of the internal cells 13a of a processing portion, and the processing tool 2 is moved in a plane of the mold and in the thickness direction, thereby processing the mold.

Abstract: A method of storing substantial data integrating shape and physical properties comprising (A) inputting external data 12 consisting of boundary data of an object 1, (B) dividing, by modified Octree division, the external data into cubical cells 13 which boundary surfaces are orthogonal to each other, and (C) storing the values of various physical properties for each of the cells. Furthermore, in step (B), each of the divided cells 13 is classified to non-boundary cells 13a located in the interior of the object or in a region outside of the object, and boundary cells 13b including boundary surfaces. Thereby, substantial data integrating shape and physical properties can be stored in small storage capacity, thus enabling the integration of CAD and simulation.

Abstract: In coloration of a shaped article composed of a curable resin, the addition operation can be reliably conducted and a reliable coloration effect can be obtained in both the single-color addition and in the multicolor addition. A liquid-phase, non-colored photo-curable resin is cured by irradiation with laser light and a lowermost layer 5n is formed. A liquid-phase, photo-curable resin is applied on the upper surface thereof and a colored layer 5n-1 comprising a cured non-colored region and a liquid-phase pool region is formed. A color ink is drop-wise added to the liquid-phase pool region. The pool region is irradiated with laser light and cured to the same hardness as that of the non-colored region. A block-like coating film having the prescribed thickness if formed from the surface coating film produced by the color ink covering the pool region. As a result, the formation of the next layer (colored layer 5n-2) on the upper surface of colored layer 5n-1 can be conducted without obstacles.

Abstract: A method including: a dividing step (A) of dividing external data into a plurality of cells (13) having boundaries orthogonal to each other, the external data including boundary data of an object which contacts incompressible viscous fluid; a cell classifying step (B) of classifying the divided cells into an internal cell (13a) positioned inside or outside the object and a boundary cell (13b) including the boundary data; a cut point determining step (C) of determining cut points in ridges of the boundary cell on the basis of the boundary data; a boundary face determining step (D) of determining a polygon connecting the cut points to be cell internal data for the boundary face; and a analyzing step (E) of applying a cut cell finite volume method combined with a VOF method to a boundary of a flow field to analyze the flow field.

Abstract: A coordinate system R is set in which P0 is a coordinate origin, P0P1 conforms to a first U axis to have a unit length, P0P2 conforms to a second V axis to have a unit length, and P0P1×P0P2 is a unit vector conforming to a third N axis. A transforming matrix M that transforms an ordinary coordinate system into the coordinate system R and the u-, v- and n-coordinate values of the both ends of the line segment are calculated. It is determined whether or not the line segment intersects with the triangle, on the basis of the u-, v- and n-coordinate values. The u-, and v-coordinate values of the intersection point are calculated. It is determined whether or not the intersection point is positioned inside the triangle, on the basis of the u-, and v-coordinate values of the intersection point.

Abstract: There is disclosed an apparatus comprising a plurality of constituting elements connected to one another via a network 11a. At least one of the plurality of constituting elements has a graphical user interface unit 20 and/or an external input/output unit 22 connectable to an external input device and an output device. Each constituting element has an application unit 12 which performs a high-order process as a CAD, a kernel unit 14 which performs a basic calculation as the CAD, a repository unit 16 which holds CAD data, and a display unit 18 which displays a calculation result. Furthermore, the application unit, the kernel unit, the repository unit, and the display unit are connected to one another via the network.

Abstract: A method and a program for converting boundary data into cell inner shape data, includes a division step (A) of dividing external data (12) constituted of the boundary data of an object into cells (13) in an orthogonal grid, a cutting point deciding step (B) of deciding an intersection point of the boundary data and a cell edge as a cell edge cutting point, a boundary deciding step (C) of deciding a boundary formed by connecting the cell edge cutting points as the cell inner shape data, a cell classification step (D) of classifying the divided cells into a nonboundary cell (13a) including no boundary surface and a boundary cell (13b) including a boundary surface, and a boundary cell data classification step (E) of classifying cell data constituting the boundary cell into internal cell data inside the cell inner shape data and external cell data outside the cell inner shape data.

Abstract: A method for determining insides and outsides of boundaries includes an external data input step of inputting external data constituted by boundary data of objects, a cell division step of dividing the external data into rectangular parallelepiped cells having boundary planes orthogonal to each other, a cell classification step of classifying the cells into a boundary cell that includes the boundary data and a non-boundary cell that does not include the boundary data, and a space classification step of classifying the non-boundary cells into a plurality of spaces that are partitioned by the boundary cells.

Abstract: A method of converting three-dimensional shape data into cell internal data. The method includes an oct-tree division step of dividing external data including boundary data of a target object into rectangular parallelepiped cells having boundary planes orthogonal to each other by oct-tree division. The method further includes a cell classification step of classifying each of the cells into an internal cell positioned inside or outside the target object or a boundary cell including the boundary data, and a cut point determination step of determining cut points of edges of the boundary cell based on the boundary data. The method further includes a boundary surface determination step of connecting cut points to form a polygon, and determining the polygon as the cell internal data when the number of the determined cut points is no fewer than 3 and no more than 12.

Abstract: There is disclosed a method comprising an external data entering step (A), a shape data dividing step (B) for dividing the external data into cubic shape cells 13 having boundary planes orthogonal to one another based on octree division, and storing shape data for each cell, and a physical quantity dividing step (C) for dividing a physical quantity of the object into different physical quantity cells 13? for each physical quantity based on octree division, and storing each physical quantity for each physical quantity cell. The shape cell 13 and each physical quantity cell 13? for each physical quantity are stored on different memory layers 18 in the same coordinate system, and managed in correlation with each other. In addition, the plurality of memory layers 18 are used singly or in combination for use of the data of the shape and the physical quantity.

Abstract: (A) V-CAD data of an object (1) is prepared. (B) A processed surface shape after NC processing is predicted by simulation using the V-CAD data. (C) The object is subjected to NC processing by a predetermined NC program, and a processed surface shape after NC processing is measured, and (D) processing correction data is obtained from a difference between the processed surface shapes acquired by simulation and measurement, and the NC program is corrected based on the processing correction data. As a result, the ultra-precise processing is enabled even if a workpiece or a tool has low rigidity and an inconstant quantity of deformation.

Abstract: V-CAD data is prepared by dividing external data 12 consisting of boundary data of an object into rectangular parallelepiped cells 13 having boundary planes orthogonal to each other in accordance with octree division and separating the respective divided cells into internal cells 13a positioned on the inner side of the object and boundary cells 13b including a boundary face, and a modeling unit quantity of a prototyping material 7 is changed in accordance with sizes of the internal cell 13a and the boundary cell 13b of a modeling portion. The prototyping material 7 is a resin, lumber powder, a low-fusing-point metal, metal powder, ceramics powder or a mixture of a binder and one of these materials, and its modeling unit quantity is set in such a manner that the modeling unit quantity is smaller than a capacity of a corresponding cell and does not protrude from the boundary plane of the cell.

Abstract: There is prepared V-CAD data obtained by dividing external data 12 consisting of boundary data of an object into rectangular parallelepiped cells 13 having boundary planes orthogonal to each other in accordance with octree division and separating the respective divided cells into internal cells 13a positioned on the inner side of the object and boundary cells 13b including a boundary face, and mold data and mold processing data used to manufacture the object are generated from data of a reference plane which at least partially comes into contact with the object 1 and the V-CAD data. Further, in the mold processing data, a plurality of the processing tools 2 are selected in descending order of a size in accordance with sizes of the internal cells 13a of a processing portion, and the processing tool 2 is moved in a plane of the mold and in the thickness direction, thereby processing the mold.

Abstract: In coloration of a shaped article composed of a curable resin, the addition operation can be reliably conducted and a reliable coloration effect can be obtained in both the single-color addition and in the multicolor addition. A liquid-phase, non-colored photo-curable resin is cured by irradiation with laser light and a lowermost layer 5n is formed. A liquid-phase, photo-curable resin is applied on the upper surface thereof and a colored layer 5n-1 comprising a cured non-colored region and a liquid-phase pool region is formed. A color ink is drop-wise added to the liquid-phase pool region. The pool region is irradiated with laser light and cured to the same hardness as that of the non-colored region. A block-like coating film having the prescribed thickness if formed from the surface coating film produced by the color ink covering the pool region. As a result, the formation of the next layer (colored layer 5n-2) on the upper surface of colored layer 5n-1 can be conducted without obstacles.

Abstract: An implicit function field of a nonmanifold is held in a form of volume data; a value of an implicit function at a point between lattice points is decided by interpolation; and if a difference in code distances between two adjacent voxels to be interpolated is larger than a fixed width, no surface is formed between the voxels. Furthermore, an entered curved surface is broken down into curved surface patches which enable determination of a front and a back; numbers are given to the front and the back, respectively, to be distinguished from each other; and a space is classified into a plurality of regions by using the number of a surface of a nearest point.

Abstract: An original curved surface S is divided into up to six curved surface units by combinations of signs (+, 0, −) of a principal curvature (k1, k2) in each point on the curved surface. A distorted curved surface S′ is associated with the original curved surface S and divided into curved surface units having the same boundary. An average normal vector is obtained for each curved surface unit with respect to the original curved surface and the distorted curved surface. “A bent component” and “a twisted component” in all the combinations of pairs of different curved surface units are obtained with respect to the original curved surface and the distorted curved surface. A difference between “the bent component” and “the twisted component” in each combination in the original curved surface and “the bent component” and “the twisted component” in each identical combination in the distorted curved surface is calculated.

Abstract: A principle curvature of a target curved surface S′ and a principle curvature of a corresponding position of a reference surface S are obtained and each part is displayed by being classified into (a) a case where two principle curvatures increase, (b) a case where two principle curvatures decrease, and (c) a case where one of the principle curvatures increases and the other decreases from the difference between the principle curvatures. (a), (b), and (c) are determined as mountain, valley, and twist, respectively, and are displayed in different symbols or colors on an image. Consequently, a different part between two three-dimensional shapes can be accurately grasped, the cause of the occurrence of the error such as a partial curve or the like can be easily found, how much the shapes coincide with each other as a whole can be indicated by an objective numerical value, and the error can be easily determined even if the reference shape is complicated.

Abstract: (A) The surface shape of an object (1) is measured by varying the position and/or direction of measurement, and a plurality of sets of partially measured data (2) including the common parts (2a) are acquired, (B) for all the partially measured data (2), the overlapped ranges (3a) of the adjacent common parts (2a) are determined within the measurement error ranges (3), (C) when there are no superposition ranges (3a), it is decided that a combination is not possible, and (D) when there are overlapped ranges (3a), the common parts of each set of partially measured data are combined within the ranges. Thus, combined data can be created at a high accuracy from a plurality of sets of partially measured data based on a small number of repeated calculations.

Abstract: There is disclosed a method of storing substantial data integrating shape and physical properties comprising an external data input step (A) for inputting external data 12 consisting of boundary data of an object 1, an Octree division step (B) for dividing, by Octree division, the external data into cubical cells 13 which boundary surfaces are orthogonal to each other, and a cell data storage step (C) for storing the values of various physical properties for each of the cells. Furthermore, in the Octree division step (B), each of the divided cells 13 is classified to internal cells 13a located in the interior of the object, external cells 13b in the exterior thereof and boundary cells 13c including boundary surfaces.

Abstract: (a) A surface shape of an object 1 is measured from different positions and/or different directions and plural partial measurement data 2 including common part 1a is obtained. (b) A parametric surface showing the surface shape of each measurement range is formed from the data. (c) A plurality of sampling points are set at a predetermined pitch in the common part and the Gaussian curvature K and/or an average curvature H are calculated from the principal curvatures (.kappa..sub.1, .kappa..sub.2) in the points. (d) Three or more characteristic points are selected in accordance with the order from larger absolute values of K or H in the common part and a normal vector of a plane constructed by three points among the points is calculated. (e) The common parts are made coincide with each other by moving the parametric surfaces so as to coincide the three characteristic points with each other and to coincide the directions of the normal vectors with each other.