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» Patching Catmull-Clark meshes
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CAGD
2010
151views more  CAGD 2010»
13 years 7 months ago
On the complexity of smooth spline surfaces from quad meshes
This paper derives strong relations that boundary curves of a smooth complex of patches have to obey when the patches are computed by local averaging. These relations restrict the...
Jörg Peters, Jianhua Fan
IMR
2004
Springer
14 years 22 days ago
Efficient Spacetime Meshing with Nonlocal Cone Constraints
Spacetime Discontinuous Galerkin (DG) methods are used to solve hyperbolic PDEs describing wavelike physical phenomena. When the PDEs are nonlinear, the speed of propagation of th...
Shripad Thite
CAD
2011
Springer
13 years 2 months ago
Smooth Bi-3 spline surfaces with fewest knots
Converting a quadrilateral input mesh into a C1 surface with one bi-3 tensorproduct spline patch per facet is a classical challenge. We give explicit local averaging formulas for ...
Jianhua Fan, Jörg Peters
CGI
2004
IEEE
13 years 11 months ago
Curvature Tensor Based Triangle Mesh Segmentation with Boundary Rectification
This paper presents a new and efficient algorithm for decomposition of 3D arbitrary triangle mesh into surface patches. Our method is based on the curvature tensor field analysis ...
Guillaume Lavoué, Florent Dupont, Atilla Ba...