Computational Topology in Image Context

<p>Discrete analog of the Jacobi set for vector fields.- Computing and reducing slope complexes.- Persistent Homology Computation Using Combinatorial Map Simplification.- Inferring Underlying Manifold of Data by the Use of Persistent Homology Analysis.- Gaps and Well-Composed Objects in the Triangular Grid.- Generating Second Order (Co)homological Information&nbsp; within AT-Model Context.- Computing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-time.- Towards Emotion Recognition: A Persistent Entropy Application.- Harmonic holes as the submodules of brain network and network dissimilarity.- Persistent 1-Cycles: Definition, Computation, and Its Application.- A persistence-based approach to automatic detection of line segments in images.- On the Nonlinear Statistics of Optical Flow.- Topological Homogeneity for Electron Microscopy Images.- Characterizing epithelial tissues using persistent entropy.&nbsp;</p>