Mathematics and Visualization

Innovations for Shape Analysis

Models and Algorithms

Editors: Breuß, Michael, Bruckstein, Alfred, Maragos, Petros (Eds.)

  • State-of-the-art research contributions by experts in the field
  • Many chapters emphasize a tutorial aspect on topics of broad interest in computer shape analysis and modeling  
  • Wide range of applications ​
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About this book

The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe.

Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields.

Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers.

Reviews

From the reviews:

“This book reports on a broad assortment of research projects spanning the field of shape analysis, from the calibration of hyperspectral cameras to the tracking of movement by following the contours of objects. … The research collected in this volume includes 2D and 3D shape analysis in both the discrete and continuous domains. … this collection relevant to a wide-ranging audience, from novices to domain experts.” (Alex Aved, Computing Reviews, August, 2013)

Table of contents (21 chapters)

  • Modeling Three-Dimensional Morse and Morse-Smale Complexes

    Čomić, Lidija (et al.)

    Pages 3-34

  • Geodesic Regression and Its Application to Shape Analysis

    Fletcher, P. Thomas

    Pages 35-52

  • Segmentation and Skeletonization on Arbitrary Graphs Using Multiscale Morphology and Active Contours

    Maragos, Petros (et al.)

    Pages 53-75

  • Refined Homotopic Thinning Algorithms and Quality Measures for Skeletonisation Methods

    Peter, Pascal (et al.)

    Pages 77-92

  • Nested Sphere Statistics of Skeletal Models

    Pizer, Stephen M. (et al.)

    Pages 93-115

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-34141-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-642-34140-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-44215-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Innovations for Shape Analysis
Book Subtitle
Models and Algorithms
Editors
  • Michael Breuß
  • Alfred Bruckstein
  • Petros Maragos
Series Title
Mathematics and Visualization
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-34141-0
DOI
10.1007/978-3-642-34141-0
Hardcover ISBN
978-3-642-34140-3
Softcover ISBN
978-3-642-44215-5
Series ISSN
1612-3786
Edition Number
1
Number of Pages
XXIV, 496
Topics