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JMIV
1998
124views more  JMIV 1998»
11 years 11 months ago
Preserving Topology by a Digitization Process
The main task of digital image processing is to recognize properties of real objects based on their digital images. These images are obtained by some sampling device, like a CCD c...
Longin Jan Latecki, Christopher Conrad, Ari D. Gro...
DAGM
2003
Springer
12 years 4 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
ICIAP
2007
ACM
12 years 11 months ago
Topology Preserving Marching Cubes-like Algorithms on the Face-Centered Cubic Grid
The well-known marching cubes algorithm is modified to apply to the face-centered cubic (fcc) grid. Thus, the local configurations that are considered when extracting the local su...
Robin Strand, Peer Stelldinger
MEMICS
2010
11 years 6 months ago
A Simple Topology Preserving Max-Flow Algorithm for Graph Cut Based Image Segmentation
In this paper, we propose a modification to the Boykov-Kolmogorov maximum flow algorithm [2] in order to make the algorithm preserve the topology of an initial interface. This alg...
Ondrej Danek, Martin Maska
ICPR
2006
IEEE
13 years 22 days ago
3D Object Digitization: Topology Preserving Reconstruction
In this paper we derive a sampling theorem, which is the first one to guarantee topology preservation during digitization of 3D objects. This new theorem is applicable to several ...
Longin Jan Latecki, Peer Stelldinger
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