This book assembles new research from the field of computational topology, a cutting-edge area emerging on the boundary between computer science and mathematics. Topics range over the breadth of the discipline, from surface reconstruction to persistent homology and its applications. Chapters are accessible to a broad range of researchers, both in the field of computational topology as well as in other related disciplines (e.g., statistics, computational biology, machine learning).This book highlights research that was initiated at WinCompTop 2023, a workshop held in July 2023 at the EPFL, where 25 women in the field of computational topology gathered to work on research problems. Additional contributions were also solicited from the broader Women in Computational Topology network.

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.

This book assembles new research from the field of computational topology, a cutting-edge area emerging on the boundary between computer science and mathematics. Topics range over the breadth of the discipline, from surface reconstruction to persistent homology and its applications. Chapters are accessible to a broad range of researchers, both in the field of computational topology as well as in other related disciplines (e.g., statistics, computational biology, machine learning).This book highlights research that was initiated at WinCompTop 2023, a workshop held in July 2023 at the EPFL, where 25 women in the field of computational topology gathered to work on research problems. Additional contributions were also solicited from the broader Women in Computational Topology network.

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.