Plane shape creation system, plane shape creation method and program recording medium
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Abstract
When a fixed polygonal plane patch is called a polygonal plane patch of level 0 and when each vertex of such polygonal plane patch is called a shape composition point of level 0, a normal line of level 0 is set on each shape composition point of level 0, and each normal line of level 0 is decomposed on an equivalent tangent plane to the normal line of level 0. Moreover, a tangent line of level 0 is set by a decomposition in a direction equal to or in the vicinity of the edge of the polygonal plane patch of level 0; and based upon two tangent lines of level 0, a normal line is set on a shape composition point and on a shape composition point of level 1. A plane shape is formed by repeated controls of the above one after another.
13 Citations
14 Claims
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1. (canceled)
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8. A method for generating/displaying a plane shape, comprising the steps of:
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setting an equivalent normal line with a tangent plane in each vertex of a polygonal shape plane patch which is a basic form necessary for generating/displaying a shape, and setting a tangent line by decomposing said set normal line in a predetermined direction on an equivalent tangent plane; and
specifying a tangent line at position where an equivalent normal line with a new tangent plane between two corresponding vertexes and in a direction which is concerned with corresponding vertexes. - View Dependent Claims (12)
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9. A method for generating/displaying a plane shape, said method setting, at a specified position, an equivalent normal line with a tangent plane based on a predetermined normal line and on a specified position and tangent line information.
- 10. A method for generating/displaying a plane shape, said method setting, at a specified position, an equivalent normal line with a tangent plane based on a predetermined normal line and on a specified position information.
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13. A system for generating/displaying a plane shape, comprising a means for choosing a basic patch that possesses a normal line in each one of basic patches that constitute a polyhedron;
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for a basic patch that is chosen, vertexes on which said predetermined normal line exists are combined until a required shape generating/displaying accuracy is reached;
a normal line existing at each predetermined vertex is discomposed on an equivalent tangent surface;
steps of specifying a normal line at a position where an equivalent normal line with a new tangent plane between two vertexes is set and in a direction which is concerned with two corresponding vertexes is repeated; and
an operation for generating and displaying a shape of desire is controlled reflexively and sequentially;
thus generating/displaying a shape of desire.
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14. A recording medium for a program for generating/displaying a plane shape comprising a means for choosing a basic patch that possesses a normal line in each one of basic patches that constitute a polyhedron;
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for a basic patch that is chosen, vertexes on which said predetermined normal line exists are combined until a required shape generating/displaying accuracy is reached;
a normal line existing at each predetermined vertex is discomposed on an equivalent tangent surface;
steps of specifying a normal line at a position where an equivalent normal line with a new tangent plane between two vertexes is set and in a direction which is concerned with two corresponding vertexes is repeated; and
an operation for generating and displaying a shape of desire is controlled reflexively and sequentially;
thus generating/displaying a shape of desire.
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Specification