Research in Shape Modeling: Los Angeles, July 2013 (Association for Women in Mathematics Series Book 1)

Demonstrates the latest techniques in analysis of shapes and shape metrics, providing a resource for further research in the growing field of mathematical shape modeling First volume in Springer's new Association for Women in Mathematics Series Features preliminary results and collaborations from the international participants of the Women in Shape Modeling (WiSh) Conference 2013 This is a new edited volume on shape analysis presenting results in shape modeling and computational geometry from the 2013 Association for Women in Mathematics (AWM) symposium held at UCLA's Institute for Pure and Applied Mathematics (IPAM). In-depth discussion of shape modeling techniques is supplemented by full-color illustrations demonstrating the results of workshop-developed shape modeling algorithms. It will be the first volume in Springer's AWM series. Topics Visualization Mathematical Applications in Computer Science Physiological, Cellular and Medical Topics Mathematical Modeling and Industrial Mathematics Front Matter Pages i-xiv Chapter 1 Pages 1-8 Automatic Prior Shape Selection for Image Segmentation Weihong Guo, Jing Qin, Sibel Tari Chapter 2 Pages 9-25 A Scalable Fluctuating Distance Field: An Application to Tumor Shape Analysis R. Alp Guler, Andac Hamamci, Gozde Unal Chapter 3 Pages 27-39 Part-Aware Distance Fields for Easy Inbetweening in Arbitrary Dimensions Sibel Tari Chapter 4 Pages 41-55 A Biomechanical Model of Cortical Folding Sarah Kim, Monica K. Hurdal Chapter 5 Pages 57-79 Quantification and Visualization of Variation in Anatomical Trees Nina Amenta, Manasi Datar, Asger Dirksen, Marleen de Bruijne, Aasa Feragen, Xiaoyin Ge... Chapter 6 Pages 81-99 Skeleton-Based Recognition of Shapes in Images via Longest Path Matching Gulce Bal, Julia Diebold, Erin Wolf Chambers, Ellen Gasparovic, Ruizhen Hu... Chapter 7 Pages 101-113 Revisiting Skeletons from Natural Images Erkut Erdem, Sibel Tari Chapter 8 Pages 115-127 Towards Automated Filtering of the Medial Axis Using the Scale Axis Transform Jeannine Abiva, Lisa J. Larsson Chapter 9 Pages 129-153 Identifying Perceptually Salient Features on 2D Shapes Lisa J. Larsson, Géraldine Morin, Antoine Begault, Raphaëlle Chaine, Jeannine Abiva... Presenting the latest℗lresearch from the growing field of mathematical shape analysis, this volume is comprised℗lof the collaborations of℗lparticipants 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 shape Dimensionality reduction and visualization of data in tree-spaces, such as classes of anatomical trees like airways and blood vessels Geometric shape segmentation, exploring shape segmentation from a Gestalt perspective, using information from the Blum medial axis of edge fragments in an image Representing and editing self-similar details on 3D shapes, studying shape deformation and editing techniques Several chapters in the book directly address the℗lproblem of℗lcontinuous 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℗lare examined here in detail. All together, the chapters in the book cover an entire spectrum in shape analysis starting from raw images and℗lending with shape-related decisions 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 shape Dimensionality reduction and visualization of data in tree-spaces, such as classes of anatomical trees like airways and blood vessels Geometric shape segmentation, exploring shape segmentation from a Gestalt perspective, using information from the Blum medial axis of edge fragments in an image Representing and editing self-similar details on 3D shapes, studying shape deformation and editing techniques Several 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