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SAC
2010
ACM
14 years 26 days ago
Constraint-based LN-curves
We consider the design of parametric curves from geometric constraints such as distance from lines or points and tangency to lines or circles. We solve the Hermite problem with su...
Young Joon Ahn, Christoph M. Hoffmann
VW
2009
Springer
130views Virtual Reality» more  VW 2009»
13 years 10 months ago
Towards a Definition of Virtual Objects Using Partial Differential Equations
—We propose an efficient alternative to commonly used parametric surfaces such as NURBS surfaces for definition of complex geometry in shared virtual spaces. Our mathematical mod...
Hassan Ugail, Gabriela González Castro, Ale...
CAGD
2006
103views more  CAGD 2006»
13 years 6 months ago
The implicit structure of ridges of a smooth parametric surface
Given a smooth surface, a blue (red) ridge is a curve such that at each of its points, the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges a...
Frédéric Cazals, Jean-Charles Faug&e...
IROS
2008
IEEE
131views Robotics» more  IROS 2008»
14 years 13 days ago
Deformations of general parametric shells: Computation and robot experiment
— A shell is a body enclosed between two closely spaced and curved surfaces. Classical theory of shells [38], [33], [16] assumes a parametrization along the lines of principal cu...
Yan-Bin Jia, Jiang Tian
DAGSTUHL
2006
13 years 7 months ago
A convenient category of domains
We motivate and define a category of topological domains, whose objects are certain topological spaces, generalising the usual -continuous dcppos of domain theory. Our category su...
Ingo Battenfeld, Matthias Schröder, Alex Simp...