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SMI
2006
IEEE
141views Image Analysis» more  SMI 2006»
13 years 11 months ago
Degree Reduction for NURBS Symbolic Computation on Curves
Symbolic computation of NURBS plays an important role in many areas of NURBS-based geometric computation and design. However, any nontrivial symbolic computation, especially when ...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen
GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...
VISSYM
2003
13 years 6 months ago
Contouring Curved Quadratic Elements
We show how to extract a contour line (or isosurface) from quadratic elements—specifically from quadratic triangles and tetrahedra. We also devise how to transform the resultin...
David F. Wiley, Henry R. Childs, Benjamin F. Grego...
CORR
2008
Springer
138views Education» more  CORR 2008»
13 years 5 months ago
The implicit equation of a canal surface
A canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generat...
Marc Dohm, Severinas Zube
FOCS
2006
IEEE
13 years 11 months ago
Points on Computable Curves
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...
Xiaoyang Gu, Jack H. Lutz, Elvira Mayordomo