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» Measuring the Complexity of Polygonal Objects
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IJCGA
2007
44views more  IJCGA 2007»
13 years 9 months ago
On the Expected Size of the 2D Visibility Complex
We study the expected size of the 2D visibility complex of randomly distributed objects in the plane. We prove that the asymptotic expected number of free bitangents (which corres...
Hazel Everett, Sylvain Lazard, Sylvain Petitjean, ...
VISUALIZATION
1997
IEEE
14 years 2 months ago
Simplifying polygonal models using successive mappings
: We present the use of mapping functions to automatically generate levels of detail with known error bounds for polygonal models. We develop a piece-wise linear mapping function f...
Jonathan D. Cohen, Dinesh Manocha, Marc Olano
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
13 years 11 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
VC
2010
143views more  VC 2010»
13 years 4 months ago
A PDE method for patchwise approximation of large polygon meshes
Abstract Three-dimensional (3D) representations of complex geometric shapes, especially when they are reconstructed from magnetic resonance imaging (MRI) and computed tomography (C...
Yun Sheng, Alexei Sourin, Gabriela González...
TVCG
2002
109views more  TVCG 2002»
13 years 9 months ago
Robust Creation of Implicit Surfaces from Polygonal Meshes
Implicit surfaces are used for a number of tasks in computer graphics, including modeling soft or organic objects, morphing, collision detection, and constructive solid geometry. A...
Gary D. Yngve, Greg Turk