729 search results - page 2 / 146 » Computing persistent homology |
TVCG
2010
13 years 3 months ago
2010
—We are interested in 3-dimensional images given as arrays of voxels with intensity values. Extending these values to a continuous function, we study the robustness of homology c...
CAIP
2007
Springer
13 years 9 months ago
2007
Springer
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...
COMPGEOM
2011
ACM
12 years 8 months ago
2011
ACM
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
COMPGEOM
2011
ACM
12 years 8 months ago
2011
ACM
We present a new algorithm for computing zigzag persistent homology, an algebraic structure which encodes changes to homology groups of a simplicial complex over a sequence of sim...
MFCS
2010
Springer
13 years 3 months ago
2010
Springer
Using ideas from persistent homology, the robustness of a level set of a real-valued function is defined in terms of the magnitude of the perturbation necessary to kill the classe...