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» Degree Reduction for NURBS Symbolic Computation on Curves
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SMI
2006
IEEE
141views Image Analysis» more  SMI 2006»
13 years 10 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
CAD
1999
Springer
13 years 4 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 4 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
CAGD
2002
156views more  CAGD 2002»
13 years 4 months ago
Explicit matrix representation for NURBS curves and surfaces
The matrix forms for curves and surfaces were largely promoted in CAD/CAM. In this paper we have presented two matrix representation formulations for arbitrary degree NURBS curves...
Ligang Liu, Guojin Wang
IEEECGIV
2009
IEEE
13 years 11 months ago
Monomial Forms for Curves in CAGD with their Applications
—There are several methods used for plotting curves in CAGD, e.g., by directly computing their basis functions (polynomials) or using their recursive algorithms. For the former m...
Chanon Aphirukmatakun, Natasha Dejdumrong