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Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
Given a line bundle L on a smooth projective curve over the com-plex numbers, we show that a general extension E of L by the trivial line bundle is very stable: line bundles contained in E have degree...
When parametric functions are used to blend 3D surfaces, geometric continuity of displacements and derivatives until to the surface boundary must be satisfied. By the traditional blending techniqu...
A fast algorithm for evaluating and displaying bivariate splInes in a three direction is preseNted based on two-level transfomation of the corresponding B-splines. The efficiency has been shown by exp...
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface.Suppose the triangulation is obta...
In this paper, we study the convergence property of several discrete schemes of the surface normal.We show that the arithmetic mean, the area-weighted averaging, and the angle-weighted averaging schem...
The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial di甧rential equations which i...

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