Research in Shape Modeling

Presenting the latest research from the growing field of mathematical shape analysis, this volume is comprised of the collaborations of participants of the Women in Shape Modeling (WiSh) workshop, held at UCLA's Institute for Pure and Applied Mathematics in July 2013. Topics include:Simultaneous spectral and spatial analysis of shapeDimensionality reduction and visualization of data in tree-spaces, such as classes of anatomical trees like airways and blood vesselsGeometric shape segmentation, exploring shape segmentation from a Gestalt perspective, using information from the Blum medial axis of edge fragments in an imageRepresenting and editing self-similar details on 3D shapes, studying shape deformation and editing techniquesSeveral chapters in the book directly address the problem of continuous measures of context-dependent nearness and right shape models. Medical and biological applications have been a major source of motivation in shape research, and key topics are examined here in detail. All together, the chapters in the book cover an entire spectrum in shape analysis starting from raw images and ending with shape-related decisions.