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» On the geometry of parametrized bicubic surfaces
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SMA
2008
ACM
140views Solid Modeling» more  SMA 2008»
15 years 5 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»
13 years 8 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»
15 years 5 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
15 years 1 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»
15 years 5 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...