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» Image Segmentation Using Topological Persistence
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DGCI
2008
Springer
13 years 7 months ago
First Results for 3D Image Segmentation with Topological Map
This paper presents the first segmentation operation defined within the 3D topological map framework. Firstly we show how a traditional segmentation algorithm, found in the literat...
Alexandre Dupas, Guillaume Damiand
ESA
2010
Springer
248views Algorithms» more  ESA 2010»
13 years 6 months ago
The Robustness of Level Sets
We define the robustness of a level set homology class of a function f : X R as the magnitude of a perturbation necessary to kill the class. Casting this notion into a group theor...
Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozo...
IJCV
2008
88views more  IJCV 2008»
13 years 5 months ago
On the Local Behavior of Spaces of Natural Images
In this study we concentrate on qualitative topological analysis of the local behavior of the space of natural images. To this end, we use a space of 3 by 3 high-contrast patches ...
Gunnar Carlsson, Tigran Ishkhanov, Vin de Silva, A...
MICCAI
2008
Springer
14 years 6 months ago
Weights and Topology: A Study of the Effects of Graph Construction on 3D Image Segmentation
Abstract. Graph-based algorithms have become increasingly popular for medical image segmentation. The fundamental process for each of these algorithms is to use the image content t...
Leo Grady, Marie-Pierre Jolly
IPMI
2009
Springer
14 years 6 months ago
Persistence Diagrams of Cortical Surface Data
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
Moo K. Chung, Peter Bubenik, Peter T. Kim