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 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. .