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DAGM
2003
Springer
15 years 2 months ago
Shape Preservation during Digitization: Tight Bounds Based on the Morphing Distance
We define strong r-similarity and the morphing distance to bound geometric distortions between shapes of equal topology. We then derive a necessary and sufficient condition for a ...
Peer Stelldinger, Ullrich Köthe
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
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
DCG
2007
83views more  DCG 2007»
14 years 9 months ago
The Genus of a Digital Image Boundary Is Determined by Its Foreground, Background, and Reeb Graphs
Weprovethatthegenusoftheboundaryofadigitalimageispreciselyhalfofthe sum of the cycle ranks of three particular graphs: the “foreground graph” and “background graph,” which ...
Lowell Abrams, Donniell E. Fishkind
TVCG
2012
186views Hardware» more  TVCG 2012»
13 years 8 hour ago
Topology Verification for Isosurface Extraction
—The broad goals of verifiable visualization rely on correct algorithmic implementations. We extend a framework for verification of isosurfacing implementations to check topologi...
Tiago Etiene, Luis Gustavo Nonato, Carlos Eduardo ...