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» Explicit matrix representation for 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
TOG
2008
146views more  TOG 2008»
13 years 5 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...
CAGD
1999
101views more  CAGD 1999»
13 years 4 months ago
Approximation algorithms for developable surfaces
By its dual representation, a developable surface can be viewed as a curve of dual projective 3-space. After introducing an appropriate metric in the dual space and restricting ou...
Helmut Pottmann, Johannes Wallner
VRST
2003
ACM
13 years 10 months ago
Incremental rendering of deformable trimmed NURBS surfaces
Trimmed NURBS surfaces are often used to model smooth and complex objects. Unfortunately, most existing hardware graphics accelerators cannot render them directly. Although there ...
Gary K. L. Cheung, Rynson W. H. Lau, Frederick W. ...
SI3D
1999
ACM
13 years 9 months ago
Localized-hierarchy surface splines (LeSS)
An explicit spline representation of smooth free-form surfaces is combined with a hierarchy of meshes to form the basis of an interactive sculpting environment. The environment of...
Carlos Gonzalez-Ochoa, Jörg Peters