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Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions
Level-set method Topolygy preserved
2012/8/10
Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
Very stable extensions on arithmetic surfaces
Projective curve Semi-stable bundle Secant variety
2010/12/15
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...
Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces
Gaussian Curvature Surface triangulation Convergence.
2012/8/1
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...
Convergence Analysis of Discrete Differential Geometry Operators over Surfaces
Normal estimation Surface triangulation Convergence
2012/8/1
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...
Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces
Laplace-Beltrami Operator Surface triangulation Discretization Convergence
2012/7/31
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...