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Computational Topology in Image Context

4th International Workshop, CTIC 2012, Bertinoro, Italy, May 28-30, 2012, Proceedings

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Massimo Ferri

    1. Dipartimento di Matematica, Università di Bologna, Bologna, Italy

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  2. Patrizio Frosini

    1. Dipartimento di Matematica, Università di Bologna, Bologna, Italy

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  3. Claudia Landi

    1. Dipartimento di Scienze e Metodi dell’Ingegneria, Università di Modena e Reggio Emilia, Reggio Emilia, Italy

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  4. Andrea Cerri

    1. ARCES, Università di Bologna, Bologna, Italy

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  5. Barbara Fabio

    1. ARCES, Università di Bologna, bologna, Italy

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 7309)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

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Conference proceedings info: CTIC 2012.

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About this book

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.

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Table of contents (16 papers)

  1. Front Matter

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  2. A Framework for Label Images

    • Loïc Mazo
    Pages 1-10

  3. Perfect Discrete Morse Functions on Triangulated 3-Manifolds

    • Rafael Ayala, Desamparados Fernández-Ternero, José Antonio Vilches
    Pages 11-19

  4. Removal Operations in nD Generalized Maps for Efficient Homology Computation

    • Guillaume Damiand, Rocio Gonzalez-Diaz, Samuel Peltier
    Pages 20-29

  5. Enhancing the Reconstruction from Non-uniform Point Sets Using Persistence Information

    • Erald Vuçini
    Pages 30-38

  6. Parallel Skeletonizing of Digital Images by Using Cellular Automata

    • Francisco Peña-Cantillana, Ainhoa Berciano, Daniel Díaz-Pernil, Miguel A. Gutiérrez-Naranjo
    Pages 39-48

  7. Towards a Certified Computation of Homology Groups for Digital Images

    • Jónathan Heras, Maxime Dénès, Gadea Mata, Anders Mörtberg, María Poza, Vincent Siles
    Pages 49-57

  8. An Efficient Algorithm to Compute Subsets of Points in ℤn

    • Ana Pacheco, Pedro Real
    Pages 58-67

  9. Computational Topology in Text Mining

    • Hubert Wagner, Paweł Dłotko, Marian Mrozek
    Pages 68-78

  10. Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces

    • Mohammed Mostefa Mesmoudi, Leila De Floriani, Paola Magillo
    Pages 79-87

  11. Deletion of (26,6)-Simple Points as Multivalued Retractions

    • Carmen Escribano, Antonio Giraldo, María Asunción Sastre
    Pages 88-97

  12. Topological Operators on Cell Complexes in Arbitrary Dimensions

    • Lidija Čomić, Leila De Floriani
    Pages 98-107

  13. Triangle Mesh Compression and Homological Spanning Forests

    • Javier Carnero, Helena Molina-Abril, Pedro Real
    Pages 108-116

  14. Homology Computations via Acyclic Subspace

    • Piotr Brendel, Paweł Dłotko, Marian Mrozek, Natalia Żelazna
    Pages 117-127

  15. Multi-scale Approximation of the Matching Distance for Shape Retrieval

    • Andrea Cerri, Barbara Di Fabio, Filippo Medri
    Pages 128-138

  16. Persistent Homology for 3D Reconstruction Evaluation

    • Antonio Gutierrez, David Monaghan, María José Jiménez, Noel E. O’Connor
    Pages 139-147

  17. Persistence Modules, Shape Description, and Completeness

    • Francesca Cagliari, Massimo Ferri, Luciano Gualandri, Claudia Landi
    Pages 148-156

  18. Back Matter

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Editors and Affiliations

  • Dipartimento di Matematica, Università di Bologna, Bologna, Italy

    Massimo Ferri, Patrizio Frosini

  • Dipartimento di Scienze e Metodi dell’Ingegneria, Università di Modena e Reggio Emilia, Reggio Emilia, Italy

    Claudia Landi

  • ARCES, Università di Bologna, Bologna, Italy

    Andrea Cerri

  • ARCES, Università di Bologna, bologna, Italy

    Barbara Fabio

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