Computational Topology in Image Context

This book constitutes the proceedings of the 6th International Workshop on Computational Topology in Image Context, CTIC 2016, held in Marseille, France, in June 2016.

The 24 papers presented in this volume were carefully reviewed and selected from 35 submissions. Additionally, this volume contains 2 invited papers. CTIC covers a wide range of topics such as: topological invariants and their computation, homology, cohomology, linking number, fundamental groups; algorithm optimization in discrete geometry, transfer of mathematical tools, parallel computation in multi-dimensional volume context, hierarchical approaches; experimental evaluation of algorithms and heuristics; combinatorial or multi-resolution models; discrete or computational topology; geometric modeling guided by topological constraints; computational topological dynamics; and use of topological information in discrete geometry applications.

Inhalt

Progress in persistence for shape analysis.- Homology Computation during an Incremental Construction Process.- Persistence-based Pooling for Shape Pose Recognition.- Bijectivity certification of 3D digitized rotations.- Morse Chain Complex from Forman Gradient in 3D with Z2 Coefficients.- Parallel Homology Computation of Meshes.- Computing the Overlaps of Two Maps.- Topological Descriptors for 3D Surface Analysis.- Towards a topological fingerprint of music.- Topological comparisons of fluvial reservoir rock volumes using Betti numbers: application to CO2 storage uncertainty analysis.- Topological Analysis of Amplicon Structure in Comparative Genomic Hybridization (CGH) Data: An Application to ERBB2/HER2/NEU Amplified Tumors.- Fast, Simple and Separable Computation of Betti Numbers on Three-dimensional Cubical Complexes.- Computation of Cubical Steenrod Squares.- On homotopy continuation for speech restoration.- Finding Largest Rectangle inside a Digital Object.- Shape Matching of 3D Topologically Segmented Objects.- Construction of an Approximate 3D Orthogonal Convex Skull.- Designing a topological algorithm for 3D activity recognition.- Robust Computations of Reeb Graphs in 2-D Binary Images.- The coherent matching distance in 2D persistent homology.- Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies.- Persistence based on LBP Scale Space.- On some local topological properties of naive discrete sphere.- DIG: Discrete Iso-contour Geodesics for Topological Analysis of Voxelized Objects.- Solving Distance Geometry Problem with Inexact Distances in Integer Plane.- Segmentation and classification of geoenvironmental zones of interest in aerial images using the Bounded Irregular Pyramid.