© 2015

Research in Shape Modeling

Los Angeles, July 2013

  • Kathryn Leonard
  • Sibel Tari
  • 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

Conference proceedings

Part of the Association for Women in Mathematics Series book series (AWMS, volume 1)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Weihong Guo, Jing Qin, Sibel Tari
    Pages 1-8
  3. R. Alp Guler, Andac Hamamci, Gozde Unal
    Pages 9-25
  4. Sarah Kim, Monica K. Hurdal
    Pages 41-55
  5. Nina Amenta, Manasi Datar, Asger Dirksen, Marleen de Bruijne, Aasa Feragen, Xiaoyin Ge et al.
    Pages 57-79
  6. Gulce Bal, Julia Diebold, Erin Wolf Chambers, Ellen Gasparovic, Ruizhen Hu, Kathryn Leonard et al.
    Pages 81-99
  7. Erkut Erdem, Sibel Tari
    Pages 101-113
  8. Lisa J. Larsson, Géraldine Morin, Antoine Begault, Raphaëlle Chaine, Jeannine Abiva, Evelyne Hubert et al.
    Pages 129-153

About these proceedings


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.


computational geometry computer graphics computer vision shape modeling spectral and spatial analysis visualization

Editors and affiliations

  • Kathryn Leonard
    • 1
  • Sibel Tari
    • 2
  1. 1.Department of MathematicsCalifornia State University Channel IslandsCamarilloUSA
  2. 2.Department of Computer EngineeringMiddle East Technical UniversityAnkaraTurkey

About the editors

Kathryn Leonard Department of Mathematics California State University, Channel Islands One University Drive Camarillo, CA, USA 93012 Sibel Tari Department of Computer Engineering Middle East Technical University Universiteler Mah. Dumlupinar Blv. No: 1 06800 Ankara, Turkey.

Bibliographic information