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» The Bisector Surface of Rational Space Curves
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CAGD
2004
121views more  CAGD 2004»
13 years 7 months ago
A conjecture on tangent intersections of surface patches
This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
Thomas W. Sederberg, Jianmin Zheng, Xiaowen Song
CORR
2008
Springer
138views Education» more  CORR 2008»
13 years 7 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
GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
14 years 1 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 9 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...
SMI
2005
IEEE
117views Image Analysis» more  SMI 2005»
14 years 1 months ago
Contouring 1- and 2-Manifolds in Arbitrary Dimensions
We propose an algorithm for contouring k-manifolds (k = 1, 2) embedded in an arbitrary n-dimensional space. We assume (n−k) geometric constraints are represented as polynomial e...
Joon-Kyung Seong, Gershon Elber, Myung-Soo Kim