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22 March 1996 C2 interpolation scheme over triangulations
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Proceedings Volume 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics; (1996) https://doi.org/10.1117/12.235524
Event: Fourth International Conference on Computer-Aided Design and Computer Graphics, 1995, Wuhan, China
Abstract
For a triangulation of a planar polygonal region, we develop a C2 interpolation scheme. A model triangle T is subdivided into a split (Delta) asymmetric with the vertices of T. We prove that there exists a C2 piecewise polynomial of degree 5 on (Delta) interpolating arbitrarily given values and derivatives of orders up to 2 at the vertices and on the edges of the triangle.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yinwei Zhan "C2 interpolation scheme over triangulations", Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); https://doi.org/10.1117/12.235524
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