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» Computing offsets of NURBS curves and surfaces
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CAGD
2002
156views more  CAGD 2002»
13 years 5 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
CAD
2006
Springer
13 years 5 months ago
A rational extension of Piegl's method for filling n-sided holes
N-sided hole filling plays an important role in vertex blending. To deal with the case that the corner is surrounded by rational surfaces (i.e. NURBS surfaces), an algorithm to fi...
Yi-Jun Yang, Jun-Hai Yong, Hui Zhang, Jean-Claude ...
TCS
2008
13 years 5 months ago
Curves and surfaces represented by polynomial support functions
This paper studies shapes (curves and surfaces) which can be described by (piecewise) polynomial support functions. The class of these shapes is closed under convolutions, offsett...
Zbynek Sír, Jens Gravesen, Bert Jüttle...
CG
2005
Springer
13 years 5 months ago
Smoothing an arc spline
Arc splines are G1 continuous curves made of circular arcs and straight-line segments. They have the advantages that the curvature of an arc spline is known and controlled at all ...
Zhong Li, Dereck S. Meek
CAGD
1998
99views more  CAGD 1998»
13 years 5 months ago
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
Martin Peternell, Helmut Pottmann