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CAGD
2006
49views more  CAGD 2006»
13 years 11 months ago
Segmenting molecular surfaces
Vijay Natarajan, Yusu Wang, Peer-Timo Bremer, Vale...
CAGD
2006
94views more  CAGD 2006»
13 years 11 months ago
High order approximation of rational curves by polynomial curves
We show that many rational parametric curves can be interpolated, in a Hermite sense, by polynomial curves whose degree, relative to the number of data being interpolated, is lowe...
Michael S. Floater
CAGD
2006
114views more  CAGD 2006»
13 years 11 months ago
Jet subdivision schemes on the k-regular complex
We introduce a new family of subdivision schemes called jet subdivision schemes. Jet subdivision schemes are a natural generalization of the commonly used subdivision schemes for ...
Yonggang Xue, Thomas P.-Y. Yu, Tom Duchamp
CAGD
2006
167views more  CAGD 2006»
13 years 11 months ago
Discrete surface modelling using partial differential equations
We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form sur...
Guoliang Xu, Qing Pan, Chandrajit L. Bajaj
CAGD
2006
113views more  CAGD 2006»
13 years 11 months ago
Convergence analysis of a discretization scheme for Gaussian curvature over triangular surfaces
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...
Guoliang Xu
CAGD
2006
72views more  CAGD 2006»
13 years 11 months ago
Optimal properties of the uniform algebraic trigonometric B-splines
In this paper, we construct a matrix, which transforms a generalized C-B
Guozhao Wang, Yajuan Li
CAGD
2006
73views more  CAGD 2006»
13 years 11 months ago
Rational surfaces with linear normals and their convolutions with rational surfaces
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors are dual to graphs bivariate polynomials (or rational functions). We discuss th...
Maria Lucia Sampoli, Martin Peternell, Bert Jü...
CAGD
2006
64views more  CAGD 2006»
13 years 11 months ago
Interpolatory ternary subdivision surfaces
Guiqing Li, Weiyin Ma
CAGD
2006
81views more  CAGD 2006»
13 years 11 months ago
On the singularity of a class of parametric curves
We consider parametric curves that are represented by combination of control points and basis functions. We let a control point vary while the rest is held fixed. We show that the...
Imre Juhász