Computational topology in image context : 4th International Workshop, CTIC 2012, Bertinoro, Italy, May 28-30, 2012. Proceedings / Massimo Ferri [and others] (eds.).

A Framework for Label Images / Loïc Mazo -- Perfect Discrete Morse Functions on Triangulated 3-Manifolds / Rafael Ayala, Desamparados Fernández-Ternero and José Antonio Vilches -- Removal Operations in nD Generalized Maps for Efficient Homology Computation / Guillaume Damiand, Rocio Gonzalez-Diaz and Samuel Peltier -- Enhancing the Reconstruction from Non-uniform Point Sets Using Persistence Information / Erald Vuçini -- Parallel Skeletonizing of Digital Images by Using Cellular Automata / Francisco Peña-Cantillana, Ainhoa Berciano, Daniel Díaz-Pernil and Miguel A. Gutiérrez-Naranjo -- Towards a Certified Computation of Homology Groups for Digital Images / Jónathan Heras, Maxime Dénès, Gadea Mata, Anders Mörtberg and María Poza, et al. -- An Efficient Algorithm to Compute Subsets of Points in Zn / Ana Pacheco and Pedro Real -- Computational Topology in Text Mining / Hubert Wagner, Paweł Dłotko and Marian Mrozek -- Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces / Mohammed Mostefa Mesmoudi, Leila De Floriani and Paola Magillo -- Deletion of (26,6)-Simple Points as Multivalued Retractions / Carmen Escribano, Antonio Giraldo and María Asunción Sastre -- Topological Operators on Cell Complexes in Arbitrary Dimensions / Lidija Čomić and Leila De Floriani -- Triangle Mesh Compression and Homological Spanning Forests / Javier Carnero, Helena Molina-Abril and Pedro Real -- Homology Computations via Acyclic Subspace / Piotr Brendel, Paweł Dłotko, Marian Mrozek and Natalia Żelazna -- Multi-scale Approximation of the Matching Distance for Shape Retrieval / Andrea Cerri, Barbara Di Fabio and Filippo Medri -- Persistent Homology for 3D Reconstruction Evaluation / Antonio Gutierrez, David Monaghan, María José Jiménez and Noel E. O'Connor -- Persistence Modules, Shape Description, and Completeness / Francesca Cagliari, Massimo Ferri, Luciano Gualandri and Claudia Landi.

Includes bibliographical references and author index.

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.