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COMPGEOM
1994
ACM
13 years 11 months ago
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
Pankaj K. Agarwal, Mark de Berg, Jirí Matou...
GIS
2010
ACM
13 years 5 months ago
Tolerance geometry: Euclid's first postulate for points and lines with extension
Object representation and reasoning in vector based geographic information systems (GIS) is based on Euclidean geometry. Euclidean geometry is built upon Euclid's first postu...
Gwen Wilke, Andrew U. Frank
VC
2008
156views more  VC 2008»
13 years 7 months ago
Spline-based feature curves from point-sampled geometry
Defining sharp features in a 3D model facilitates a better understanding of the surface and aids geometric processing and graphics applications, such as reconstruction, filtering, ...
Joel Daniels II, Tilo Ochotta, Linh K. Ha, Cl&aacu...
PAMI
2012
11 years 10 months ago
Fast Joint Estimation of Silhouettes and Dense 3D Geometry from Multiple Images
—We propose a probabilistic formulation of joint silhouette extraction and 3D reconstruction given a series of calibrated 2D images. Instead of segmenting each image separately i...
Kalin Kolev, Thomas Brox, Daniel Cremers
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 11 months ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch