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SCALESPACE
1997
Springer
14 years 1 months ago
3D Shape Representation: Transforming Polygons into Voxels
We developed a method that transforms a polygonal representation of an object into a voxel representation on a 3D regular grid. By applying scale-space theory we derived expression...
Stijn Oomes, Peter R. Snoeren, Tjeerd Dijkstra
DAGM
2006
Springer
14 years 26 days ago
Provably Correct Edgel Linking and Subpixel Boundary Reconstruction
Existing methods for segmentation by edgel linking are based on heuristics and give no guarantee for a topologically correct result. In this paper, we propose an edgel linking algo...
Ullrich Köthe, Peer Stelldinger, Hans Meine
DGCI
2006
Springer
14 years 26 days 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
TYPES
2000
Springer
14 years 23 days ago
An Inductive Version of Nash-Williams' Minimal-Bad-Sequence Argument for Higman's Lemma
Higman's lemma has a very elegant, non-constructive proof due to Nash-Williams [NW63] using the so-called minimal-bad-sequence argument. The objective of the present paper is ...
Monika Seisenberger
FLAIRS
2003
13 years 10 months ago
Proving Harder Theorems by Axiom Reduction
Automated Theorem Proving (ATP) problems may contain unnecessary axioms, either because some of the axiomatization of the theory is irrelevant to the particular theorem, or becaus...
Geoff Sutcliffe, Alexander Dvorský