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COMPGEOM
2006
ACM
15 years 1 months ago
Conflict-free colorings of shallow discs
We prove that any collection of n discs in which each one intersects at most k others, can be colored with at most O(log3 k) colors so that for each point p in the union of all di...
Noga Alon, Shakhar Smorodinsky
DGCI
2006
Springer
15 years 1 months ago
A New 3D Parallel Thinning Scheme Based on Critical Kernels
Critical kernels constitute a general framework settled in the of abstract complexes for the study of parallel thinning in any dimension. We take advantage of the properties of thi...
Gilles Bertrand, Michel Couprie
DGCI
2006
Springer
15 years 1 months ago
Minimal Decomposition of a Digital Surface into Digital Plane Segments Is NP-Hard
This paper deals with the complexity of the decomposition of a digital surface into digital plane segments (DPS for short). We prove that the decision problem (does there exist a ...
Isabelle Sivignon, David Coeurjolly
DGCI
2006
Springer
15 years 1 months ago
Topologically Correct Image Segmentation Using Alpha Shapes
Abstract. Existing theories on shape digitization impose strong constraints on feasible shapes and require error-free measurements. We use Delaunay triangulation and -shapes to pro...
Peer Stelldinger, Ullrich Köthe, Hans Meine
DGCI
2006
Springer
15 years 1 months ago
Generating Distance Maps with Neighbourhood Sequences
A sequential algorithm for computing the distance map using distances based on neighbourhood sequences (of any length) in the 2D square grid; and 3D cubic, face-centered cubic, and...
Robin Strand, Benedek Nagy, Céline Fouard, ...