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» On the geometry of parametrized bicubic surfaces
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SMA
2008
ACM
140views Solid Modeling» more  SMA 2008»
14 years 8 months ago
GPU conversion of quad meshes to smooth surfaces
We convert any quad manifold mesh into an at least C1 surface consisting of bi-cubic tensor-product splines with localized perturbations of degree bi-5 near non-4-valent vertices....
Ashish Myles, Young In Yeo, Jörg Peters
TOG
2012
267views Communications» more  TOG 2012»
12 years 12 months ago
Global parametrization by incremental flattening
Global parametrization of surfaces requires singularities (cones) to keep distortion minimal. We describe a method for finding cone locations and angles and an algorithm for glob...
Ashish Myles, Denis Zorin
CAGD
2004
136views more  CAGD 2004»
14 years 9 months ago
Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
CAD
2011
Springer
14 years 4 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
CAGD
2004
76views more  CAGD 2004»
14 years 9 months ago
Topologically consistent trimmed surface approximations based on triangular patches
Topologically consistent algorithms for the intersection and trimming of free-form parametric surfaces are of fundamental importance in computer-aided design, analysis, and manufa...
Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas...