C2 interpolation scheme over triangulations

Yinwei Zhan

doi:10.1117/12.235524

22 March 1996 C2 interpolation scheme over triangulations

Yinwei Zhan

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.

Citation Download Citation

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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