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CAGD
2010
111views more  CAGD 2010»
13 years 5 months ago
Construction of rational surface patches bounded by lines of curvature
The fact that the Darboux frame is rotation
Luc Biard, Rida T. Farouki, Nicolas Szafran
WSCG
2003
123views more  WSCG 2003»
13 years 6 months ago
From Dupin Cyclides to Scaled Cyclides
Dupin cyclides are algebraic surfaces introduced for the first time in 1822 by the French mathematician Pierre-Charles Dupin. They have a low algebraic degree and have been propo...
Lionel Garnier, Sebti Foufou, Marc Neveu
CAGD
1998
99views more  CAGD 1998»
13 years 4 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
SMI
2005
IEEE
181views Image Analysis» more  SMI 2005»
13 years 10 months ago
A Tracing Algorithm for Constructing Medial Axis Transform of 3D Objects Bound by Free-Form Surfaces
This paper presents an algorithm for generating the Medial Axis Transform(MAT) of 3D objects with free-form boundaries. The algorithm proposed uses the exact representation of the...
M. Ramanathan, B. Gurumoorthy
PG
2007
IEEE
13 years 11 months ago
Extending Catmull-Clark Subdivision and PCCM with Polar Structures
We complete and bring together two pairs of surface constructions that use polynomial pieces of degree (3,3) to associate a smooth surface with a mesh. The two pairs complement ea...
Ashish Myles, Kestutis Karciauskas, Jörg Pete...