G1 continuity triangular patches interpolation based on PN triangles

Authors:
Zhihong Mao;Lizhuang Ma;Mingxi Zhao
Affiliations:
Dept. of Computer Science and Engineering, Shanghai Jiao Tong University, PR China;Dept. of Computer Science and Engineering, Shanghai Jiao Tong University, PR China;Dept. of Computer Science and Engineering, Shanghai Jiao Tong University, PR China
Venue:
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
Year:
2005

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Abstract

There are currently many methods for triangular local interpolation: Given triangular meshes P in three dimension space, the given flat triangles are based only on the three vertices and three normal vectors, or PN triangles, construct a smooth surface that interpolates the vertices of P. In this paper a completely local interpolation scheme is presented to guarantee to join patches G1 continuously around boundary curves of each PN triangle.