7 search results - page 1 / 2 » Homology and Robustness of Level and Interlevel Sets |
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...
CORR
2011
Springer
12 years 9 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
13 years 6 months 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 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...
ICCV
2011
IEEE
12 years 5 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...