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COMPGEOM
2008
ACM
13 years 10 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
SMA
2008
ACM
154views Solid Modeling» more  SMA 2008»
13 years 8 months ago
Solid height-map sets: modeling and visualization
Height maps are a very efficient surface representation, initially developed for terrain modeling and visualization. They are also present in other applications, such as mesostruc...
Paulo I. N. Santos, Rodrigo de Toledo, Marcelo Gat...
PAMI
2002
184views more  PAMI 2002»
13 years 8 months ago
Identifying Faces in a 2D Line Drawing Representing a Manifold Object
A straightforward way to illustrate a 3D model is to use a line drawing. Faces in a 2D line drawing provide important information for reconstructing its 3D geometry. Manifold objec...
Jianzhuang Liu, Yong Tsui Lee, Wai-kuen Cham
SMA
2006
ACM
101views Solid Modeling» more  SMA 2006»
14 years 2 months ago
A higher dimensional formulation for robust and interactive distance queries
We present an efficient and robust algorithm for computing the minimum distance between a point and freeform curve or surface by lifting the problem into a higher dimension. This...
Joon-Kyung Seong, David E. Johnson, Elaine Cohen
CAD
2004
Springer
13 years 8 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin