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Image complexity based fMRI-BOLD visual network categorization across visual datasets using topological descriptors and deep-hybrid learning
To achieve this, 0- and 1-dimensional persistence diagrams are computed for each visual network representing COCO, ImageNet, and SUN.
Euler Characteristic Transform Based Topological Loss for Reconstructing 3D Images from Single 2D Slices
We also show a favourable property, namely injectivity and discuss the stability of the topological loss function based on the Euler Characteristic Transform.
A Topological Distance Measure between Multi-Fields for Classification and Analysis of Shapes and Data
Topological distances based on Reeb graphs and persistence diagrams have been employed to obtain effective algorithms in shape matching and scalar data analysis.
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