7 search results - page 1 / 2 » Homology and Robustness of Level and Interlevel Sets |
TVCG
2010
13 years 9 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...
CORR
2011
Springer
13 years 2 months ago
2011
Springer
Given a function f : X → R on a topological space, we consider the preimages of intervals and their homology groups and show how to read the ranks of these groups from the exten...
ESA
2010
Springer
14 years 2 days ago
2010
Springer
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...
MFCS
2010
Springer
13 years 9 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...
ICCV
2011
IEEE
12 years 11 months ago
2011
IEEE
Local photometric descriptors are a crucial low level component of numerous computer vision algorithms. In practice, these descriptors are constructed to be invariant to a class o...