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COMPGEOM
1994
ACM
13 years 9 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...
JGTOOLS
2006
199views more  JGTOOLS 2006»
13 years 4 months ago
Fast Approximation of High-Order Voronoi Diagrams and Distance Transforms on the GPU
We present a graphics hardware implementation of the tangent-plane algorithm for computing the kth-order Voronoi diagram of a set of point sites in image space. Correct and effici...
Ian Fischer, Craig Gotsman
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
13 years 8 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
SI3D
2010
ACM
13 years 11 months ago
Parallel Banding Algorithm to compute exact distance transform with the GPU
We propose a Parallel Banding Algorithm (PBA) on the GPU to compute the exact Euclidean Distance Transform (EDT) for a binary image in 2D and higher dimensions. Partitioning the i...
Thanh-Tung Cao, Ke Tang, Anis Mohamed, Tiow Seng T...
CHI
2006
ACM
14 years 5 months ago
"Sketching" nurturing creativity: commonalities in art, design, engineering and research
icians or philosophers use abstract symbols to derive formulas or form proofs. Indeed, these sketches are structural geometric proofs, consistent with Plato's supposition that...
Kumiyo Nakakoji, Atau Tanaka, Daniel Fallman