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  • Conference proceedings
  • © 2015

Research in Shape Modeling

Los Angeles, July 2013

  • 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

  • Includes supplementary material: sn.pub/extras

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

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-16348-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.00
Price excludes VAT (USA)
Hardcover Book USD 149.99
Price excludes VAT (USA)

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Table of contents (9 papers)

  1. Front Matter

    Pages i-xiv
  2. Automatic Prior Shape Selection for Image Segmentation

    • Weihong Guo, Jing Qin, Sibel Tari
    Pages 1-8
  3. A Scalable Fluctuating Distance Field: An Application to Tumor Shape Analysis

    • R. Alp Guler, Andac Hamamci, Gozde Unal
    Pages 9-25
  4. A Biomechanical Model of Cortical Folding

    • Sarah Kim, Monica K. Hurdal
    Pages 41-55
  5. Quantification and Visualization of Variation in Anatomical Trees

    • Nina Amenta, Manasi Datar, Asger Dirksen, Marleen de Bruijne, Aasa Feragen, Xiaoyin Ge et al.
    Pages 57-79
  6. Skeleton-Based Recognition of Shapes in Images via Longest Path Matching

    • Gulce Bal, Julia Diebold, Erin Wolf Chambers, Ellen Gasparovic, Ruizhen Hu, Kathryn Leonard et al.
    Pages 81-99
  7. Revisiting Skeletons from Natural Images

    • Erkut Erdem, Sibel Tari
    Pages 101-113
  8. Identifying Perceptually Salient Features on 2D Shapes

    • Lisa J. Larsson, Géraldine Morin, Antoine Begault, Raphaëlle Chaine, Jeannine Abiva, Evelyne Hubert et al.
    Pages 129-153

About this book

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.

Keywords

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

Editors and Affiliations

  • Department of Mathematics, California State University Channel Islands, Camarillo, USA

    Kathryn Leonard

  • Department of Computer Engineering, Middle East Technical University, Ankara, Turkey

    Sibel Tari

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

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-319-16348-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 139.00
Price excludes VAT (USA)
Hardcover Book USD 149.99
Price excludes VAT (USA)