Methods for Generating and Manipulating 3-D Freeform Curves
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概要
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A technique for generating freeform curves is presented. And a method to determine the control points for a smooth curve passing through given points without solving simultaneous equations is discussed. The features of the methods are as follows. 1. A freeform curve is generated by subdividing a given control polygon recursively. 2. The curve shape can be changed locally on any step of the subdividing procedure. 3. Any control point, which is determined for a smooth curve passing through a given point sequence, can be moved without changing the given points. Some illustrative curves generated by the methods are shown and are compared with the ones obtained by solving the simultaneous equations to determine the relationship between given points and control points.
- 山梨大学の論文
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関連論文
- Methods for Generating and Manipulating 3-D Freeform Curves
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