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» Computing offsets of NURBS curves and surfaces
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CAD
1999
Springer
13 years 10 months ago
Computing offsets of NURBS curves and surfaces
This paper presents algorithms for computing offsets of NURBS curves and surfaces. The basic approach consists of four steps: (1) recognition of special curves and surfaces; (2) s...
Les A. Piegl, Wayne Tiller
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 10 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
TOG
2008
146views more  TOG 2008»
13 years 10 months ago
Watertight trimmed NURBS
This paper addresses the long-standing problem of the unavoidable gaps that arise when expressing the intersection of two NURBS surfaces using conventional trimmed-NURBS represent...
Thomas W. Sederberg, G. Thomas Finnigan, Xin Li, H...
SMI
2006
IEEE
141views Image Analysis» more  SMI 2006»
14 years 4 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
CGI
1999
IEEE
14 years 3 months ago
A Shape-Preserving Data Embedding Algorithm for NURBS Curves and Surfaces
Existing data embedding algorithms for polygonal meshes and their attributes can't be applied to the majority of (geometric) computer aided design (CAD) applications, for two...
Ryutarou Ohbuchi, Hiroshi Masuda, Masaki Aono