Approximate continuity for parametric Bézier patches
Authors:
Open Access
- 4 June 2007
- conference paper
- Published by Association for Computing Machinery (ACM)
- p. 315-321
Abstract
In this paper, we present a piecewise cubic, parametric surface scheme to interpolate positions and normals on a triangulated data set. For each data triangle, we fit three triangular cubic patches in a Clough-Tocher like arrangement. However, while we construct the micro-patches to meet each other C1, we only require approximate G1 continuity across macro-patches boundaries. To control the normal discontinuity on the macro-patch boundaries, neighbouring patches are constructed to interpolate the position and normals at the ends of their common boundary, as well as to have equal normals at additional points on the boundary. The resulting scheme constructs patches with similar shape to the quartic Shirman-Séquin construction, and has better shape than Peters' G1 cubic scheme on near singular data.Keywords
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