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1. (US20070244670) Virtual Paper Pattern Forming Program, Virtual Paper Pattern Forming Device, and Virtual Paper Pattern Forming Method
注意: このテキストは、OCR 処理によってテキスト化されたものです。法的な用途には PDF 版をご利用ください。

Claims

1. A recording medium storing a virtual paper pattern forming program that virtually forms a paper pattern of a three-dimensional object, causing a computer to function as follows:
three-dimensional object model forming means for acquiring 3-D data of the three-dimensional object and forming a virtual three-dimensional object model within a virtual 3-D space;
contour line setting means for setting a contour line of the paper pattern on a surface of the virtual three-dimensional object model to divide the surface of the virtual three-dimensional object model into plural regions;
reference line setting means for setting a reference line for one region divided by the contour line setting means according to a manipulation instruction from a user; and
development means for developing the virtual three-dimensional object model in a 2-D space region by region in such a manner that the reference line becomes linear to form a virtual paper pattern.
2. The recording medium according to claim 1, wherein the development means includes:
mesh setting means for setting a polygon mesh in each region;
first polygon line development means for extracting, as an initial polygon line, plural polygons intersecting with the reference line from the polygon mesh set in the region, and developing the initial polygon line into a 2-D plane in such a manner that the reference line of the extracted initial polygon line becomes a straight line; and
second polygon line development means for extracting a polygon line adjacent to a polygon line for which development processing into the 2-D plane has been completed, and developing respective regions into the 2-D plane by repetitively performing processing to develop the extracted polygon line into the 2-D plane.
3. The recording medium according to claim 2, wherein:
the first and second polygon line development means develop the polygon line into the 2-D plane in such a manner so as to maintain an area of each polygon intact.
4. The recording medium according to claim 2, wherein:
the polygons are triangular; and
the first polygon line development means develops respective vertices V i forming the initial polygon on the 2-D plane using Equation (A) below:

           v i =v i ′+d i ×D i ×t i  (A)
where v i indicates a coordinate when a vertex V i is developed on the 2-D plane; v i′ indicates a coordinate when a point V i′ on the reference line linking the vertex V i and the reference line by a shortest distance is developed into the 2-D plane; D i=|vector V iV i′|; d i takes 1 when the vertex V i is on a right side of a vector P jP j+1, which is a vector linking intersection points P j and P j+1 of two ridge lines of a polygon passing by the vertex V i and the reference line, and takes −1 when the vertex V i is on a left side; and t i indicates a vector of same magnitude of a vector p jp j+1, which is a vector linking coordinates p j and p j+1 when the intersection points P j and P j+1 are developed into the 2-D plane, and orthogonal to the vector p jp j+1.
5. The recording medium according to claim 4, wherein:
the first polygon line development means determines the coordinate of v i′ in such a manner that a length of a line segment P jV i′ is equal to a length of a line segment p jv i′.
6. The recording medium according to claim 4, wherein:
the first polygon line development means determines the coordinate of p j+1 in such a manner that a direction of the line segment p jp j+1 coincides with a direction of a developed line segment p j−1−p j and a size of the line segment P jP j+1 is equal to a size of the line segment p jp j+1.
7. The recording medium to claim 1, wherein:
the reference line setting means sets two reference lines that cross with each other on a surface of one region; and
the development means develops the region in a 2-D space in such a manner that the two reference lines are orthogonal to each other and become linear.
8. The recording medium according to claim 1, wherein:
the reference line setting means sets the reference line on a surface of one region of the virtual three-dimensional object model in such a manner so as to pass by one point within the one region specified by the user and to go along a direction of gravitational force pre-set within the virtual 3-D space.
9. The recording medium according to claim 1, wherein:
the reference setting means sets the reference line on a surface of one region of the virtual three-dimensional object model so as to link two points within the one region specified by the user.
10. The recording medium according to claim 1, wherein:
the reference line setting means sets the reference line on a surface of the virtual three-dimensional object model to be parallel to a contour line of one side that is developed linearly by the development means.
11. The recording medium according to claim 1, wherein the reference line setting means sets the reference line using any of the following methods specified by the user:
a first method by which the reference line is set on a surface of one region of the virtual three-dimensional object model so as to pass by one point within the one region specified by the user and to go along a direction of gravitational force pre-set within the virtual 3-D space;
a second method by which the reference line is set on a surface of one region of the virtual three-dimensional object model so as to link two points within the one region specified by the user; and
a third method by which the reference line is set on a surface of the virtual three-dimensional object model to be parallel to a contour line of one side that is developed linearly by the development means.
12. The recording medium according to claim 1, wherein:
the three-dimensional object is made of a material having anisotropy in a stretching property.
13. A virtual paper pattern forming device that virtually forms a paper pattern of a three-dimensional object, comprising:
three-dimensional object model forming portion for acquiring 3-D data of the three-dimensional object and forming a virtual three-dimensional object model within a virtual 3-D space;
contour line setting portion for setting a contour line of the paper pattern on a surface of the virtual three-dimensional object model to divide the surface of the virtual three-dimensional object model into plural regions;
reference line setting portion for setting a reference line for one region divided by the contour line setting means according to a manipulation instruction from a user; and
development portion for developing the virtual three-dimensional object model in a 2-D space for each divided region in such a manner that the reference line becomes linear to form a virtual paper pattern.
14. A virtual paper pattern forming method for enabling a computer to virtually form a paper pattern of a three-dimensional object, the computer including three-dimensional object model forming portion, contour line setting portion, reference line setting portion, and development means, the method including:
a step of acquiring 3-D data of the three-dimensional object and forming a virtual three-dimensional object model within a virtual 3-D space by the three-dimensional object model forming portion;
a step of setting a contour line of the paper pattern on a surface of the virtual three-dimensional object model to divide the surface of the virtual three-dimensional object model into plural regions by the contour line setting portion;
a step of setting a reference line for one region divided by the contour line setting portion according to a manipulation instruction from a user by the reference line setting portion; and
a step of developing the virtual three-dimensional object model in a 2-D space for each divided region in such a manner that the reference line becomes linear to form a virtual paper pattern by the development portion.