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» Axiomatic Digital Topology
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JMIV
2008
62views more  JMIV 2008»
13 years 8 months ago
Topological Repairing of 3D Digital Images
Marcelo Siqueira, Longin Jan Latecki, Nicholas J. ...
ENTCS
2002
105views more  ENTCS 2002»
13 years 8 months ago
Fixed points in digital topology (via Helly posets)
Abstract. We extend some of our previous results on fixed points of graph multifunctions to posets. The posets of most interest here are the (finite) Khalimsky spaces, in their spe...
Rueiher Tsaur, Michael B. Smyth
ICPR
2006
IEEE
14 years 9 months ago
3D Object Digitization: Majority Interpolation and Marching Cubes
In a previous paper [1] we showed that a 3D object can be digitized without changing the topology if the object is r-regular and if the reconstruction method fulfills certain requ...
Peer Stelldinger, Longin Jan Latecki
IPMI
2005
Springer
14 years 9 months ago
Topology Preserving Tissue Classification with Fast Marching and Topology Templates
Abstract. This paper presents a novel approach for object segmentation in medical images that respects the topological relationships of multiple structures as given by a template. ...
Pierre-Louis Bazin, Dzung L. Pham
TYPES
2000
Springer
14 years 2 days ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio