Shape Interrogation - Stefanie Hahmann, Alexander Belayev, Laurent Buse, Gershon Elber, Bernard Mourrain, Christian Roessl -- Recent Advances in Remeshing of Surfaces - Pierre Alliez, Marco Attene, Craig Gotsman, Giuliana Ucelli -- Multi-resolution Analysis - George-Pierre Bonneau, Gershon Elber, Stefanie Hahmann, Basile Sauvage -- Subdivision Surfaces and Applications - Chiara Eva Catalano, Ioannis Ivrissimtzis, Ahmad Nasri -- Skeletal Structures - Silvia Biasotti, Dominique Attali, Jean-Daniel Boissonnat, Herbert Edelsbrunner, Gershon Elber, Michela Mortara, Gabriella Sanniti di Baja, Michela Spagnuolo, Mirela Tanase, Remco Veltkamp -- Morphological Representations of Scalar Fields - Silvia Biasotti, Leila De Floriani, Bianca Falcidieno, Laura Papaleo -- Morphological Representations of Vector Fields - Holger Theisel, Christian Roessl, Tino Weinkauf -- Control Structure and Multi-Resolution Techniques for Virtual Human Representation - Thomas Di Giacomo, HyungSeok Kim, Laurent Moccozet, Nadia Magnenat-Thalmann .

Several techniques have been developed in the literature for processing different aspects of the geometry of shapes, for representing and manipulating a shape at different levels of detail, and for describing a shape at a structural level as a concise, part-based, or iconic model. Such techniques are used in many different contexts, such as industrial design, biomedical applications, entertainment, environmental monitoring, or cultural heritage. This book covers a variety of topics related to preserving and enhancing shape information at a geometric level, and to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships .