Computational Topology in Image Context: 7th International Workshop, CTIC 2019, Málaga, Spain, January 24-25, 2019, Proceedings

Description

This book constitutes the proceedings of the 7th International Workshop on Computational Topology in Image Context, CTIC 2019, held in Málaga, Spain, in January 2019. The 14 papers presented in this volume were carefully reviewed and selected from 21 submissions. Papers deal with theoretical issues but most of them put the attention on the applicability of concepts and algorithms. These were designed to deal with objects and images, but also with the speech signal. The final application must be for instance in the medical domain or in the robotics one. Front Matter ....Pages I-X Discrete Analog of the Jacobi Set for Vector Fields (A. N. Adilkhanov, A. V. Pavlov, I. A. Taimanov)....Pages 1-11 Computing and Reducing Slope Complexes (Walter G. Kropatsch, Rocio M. Casablanca, Darshan Batavia, Rocio Gonzalez-Diaz)....Pages 12-25 Persistent Homology Computation Using Combinatorial Map Simplification (Guillaume Damiand, Rocio Gonzalez-Diaz)....Pages 26-39 Inferring Underlying Manifold of Data by the Use of Persistent Homology Analysis (Rentaro Futagami, Noritaka Yamada, Takeshi Shibuya)....Pages 40-53 Gaps and Well-Composed Objects in the Triangular Grid (Lidija Čomić)....Pages 54-67 Generating Second Order (Co)homological Information within AT-Model Context (Pedro Real, Helena Molina-Abril, Fernando Díaz del Río, Darian Onchis)....Pages 68-81 Computing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-Time (Fernando Díaz del Río, Helena Molina-Abril, Pedro Real)....Pages 82-95 Towards Emotion Recognition: A Persistent Entropy Application (Rocio Gonzalez-Diaz, Eduardo Paluzo-Hidalgo, José F. Quesada)....Pages 96-109 Harmonic Holes as the Submodules of Brain Network and Network Dissimilarity (Hyekyoung Lee, Moo K. Chung, Hongyoon Choi, Hyejin Kang, Seunggyun Ha, Yu Kyeong Kim et al.)....Pages 110-122 Persistent 1-Cycles: Definition, Computation, and Its Application (Tamal K. Dey, Tao Hou, Sayan Mandal)....Pages 123-136 A Persistence-Based Approach to Automatic Detection of Line Segments in Images (Vitaliy Kurlin, Grzegorz Muszynski)....Pages 137-150 On the Nonlinear Statistics of Optical Flow (Henry Adams, Johnathan Bush, Brittany Carr, Lara Kassab, Joshua Mirth)....Pages 151-165 Topological Homogeneity for Electron Microscopy Images (Helena Molina-Abril, Fernando Diaz del Rio, Maria P. Guerrero-Lebrero, Pedro Real, Guillermo Barcena, Veronica Braza et al.)....Pages 166-178 Characterising Epithelial Tissues Using Persistent Entropy (N. Atienza, L. M. Escudero, M. J. Jimenez, M. Soriano-Trigueros)....Pages 179-190 Back Matter ....Pages 191-191