Computational Topology in Image Context [recurso electrónico] : 4th International Workshop, CTIC 2012, Bertinoro, Italy, May 28-30, 2012. Proceedings

-- This book constitutes the proceedings of the 4th International Workshop on Computational Topology in Image Context, CTIC 2012, held in Bertinoro, Italy, in May 2012. The 16 papers presented in this volume were carefully reviewed and selected for inclusion in this book. They focus on the topology and computation in image context. The workshop is devoted to computational methods using topology for the analysis and comparison of images. The involved research fields comprise computational topology and geometry, discrete topology and geometry, geometrical modeling, algebraic topology for image applications, and any other field involving a geometric-topological approach to image processing Front Matter....Pages - A Framework for Label Images....Pages 1-10 Perfect Discrete Morse Functions on Triangulated 3-Manifolds....Pages 11-19 Removal Operations in n D Generalized Maps for Efficient Homology Computation....Pages 20-29 Enhancing the Reconstruction from Non-uniform Point Sets Using Persistence Information....Pages 30-38 Parallel Skeletonizing of Digital Images by Using Cellular Automata....Pages 39-48 Towards a Certified Computation of Homology Groups for Digital Images....Pages 49-57 An Efficient Algorithm to Compute Subsets of Points in Z n ....Pages 58-67 Computational Topology in Text Mining....Pages 68-78 Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces....Pages 79-87 Deletion of (26,6)-Simple Points as Multivalued Retractions....Pages 88-97 Topological Operators on Cell Complexes in Arbitrary Dimensions....Pages 98-107 Triangle Mesh Compression and Homological Spanning Forests....Pages 108-116 Homology Computations via Acyclic Subspace....Pages 117-127 Multi-scale Approximation of the Matching Distance for Shape Retrieval....Pages 128-138 Persistent Homology for 3D Reconstruction Evaluation....Pages 139-147 Persistence Modules, Shape Description, and Completeness....Pages 148-156 Back Matter....Pages -