Natural Boundary Conditions of4-point Theory
for Surface Design

Abstract

Abstract: A solution to the boundary conditions of4-point interpolatory subdivision scheme in the application to curve and surface modeling was studied．Combineing with4-point schemethe traditional nonlinear method for natural boundary conditions in geometric modeling is improved．Based on the fact that vertexes of an isosceles trapezoid are concyclica linear method is brought forward for natura-l boundary-point by getting axisymmetric point．Hence the key problem concerning the application of 4-point theory to surface modeling is well resolved

Key words: natural boundary condition, 4-point theory, linear, interpolation

CLC Number:

O241．3

Liang Jing-hong, Wu Guang-chao, Qiu Dong-tao, et al. Natural Boundary Conditions of4-point Theory for Surface Design[J]. Journal of South China University of Technology(Natural Science Edition), 2003, 31(11): 88-91.

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Natural Boundary Conditions of4-point Theory for Surface Design

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