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DGCI
2003
Springer
15 years 2 months ago
Shape Preserving Digitization of Ideal and Blurred Binary Images
In order to make image analysis methods more reliable it is important to analyse to what extend shape information is preserved during image digitization. Most existing approaches t...
Ullrich Köthe, Peer Stelldinger
COMPGEOM
2010
ACM
15 years 2 months ago
Improving the first selection lemma in R3
We present new bounds on the first selection lemma in R3 . This makes progress on the open problems of Bukh, Matoušek and Nivash [6] and Boros-Füredi [4] for the three-dimensio...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...
COMPGEOM
2009
ACM
15 years 2 months ago
Visibility maps of realistic terrains have linear smoothed complexity
We study the complexity of the visibility map of terrains whose triangles are fat, not too steep and have roughly the same size. It is known that the complexity of the visibility ...
Mark de Berg, Herman J. Haverkort, Constantinos P....
ISVD
2007
IEEE
15 years 4 months ago
From the Kneser-Poulsen conjecture to ball-polyhedra via Voronoi diagrams
A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a fi...
Károly Bezdek
COMPGEOM
2004
ACM
15 years 3 months ago
Inner and outer rounding of set operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementa...
Olivier Devillers, Philippe Guigue