| authors |
Kalay, Yehuda E. |
| year |
1981 |
| title |
Recursive Subdivision of Rectangular Bicubic Bezier Patches Using Patch Re-Parametrization |
| source |
October, 1981. 7 p. : ill. includes bibliography |
| summary |
This paper presents an analytical approach for the subdivision of curved surfaces made of rectangular patches, exploiting the properties of the Bernstein-Bezier surface representation. It is presented and demonstrated for the recursive subdivision of a patch into 4 sub-patches. It utilizes the linear dependency between the parametric vectors and the surface to re-parametrize the equation of the patch, and builds a quadtree of the patches. This method is useful for reducing the curvature of individual patches until some arbitrary criterion of planarity has been reached. Once reach, patches can be intersected analytically, to find the locus of intersection between two curved surfaces |
| keywords |
recursion, algorithms, Bezier, parametrization, curves, curved surfaces, intersection |
| series |
CADline |
| email |
|
| references |
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