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  • © 2013

Innovations for Shape Analysis

Models and Algorithms

  • 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 ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Visualization (MATHVISUAL)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xxiv
  2. Discrete Shape Analysis

    1. Front Matter

      Pages 1-1
    2. Modeling Three-Dimensional Morse and Morse-Smale Complexes

      • Lidija Čomić, Leila De Floriani, Federico Iuricich
      Pages 3-34
    3. Nested Sphere Statistics of Skeletal Models

      • Stephen M. Pizer, Sungkyu Jung, Dibyendusekhar Goswami, Jared Vicory, Xiaojie Zhao, Ritwik Chaudhuri et al.
      Pages 93-115
    4. 3D Curve Skeleton Computation and Use for Discrete Shape Analysis

      • Gabriella Sanniti di Baja, Luca Serino, Carlo Arcelli
      Pages 117-136
    5. Orientation and Anisotropy of Multi-component Shapes

      • Joviša Žunić, Paul L. Rosin
      Pages 137-157
  3. Partial Differential Equations for Shape Analysis

    1. Front Matter

      Pages 159-159
    2. Stable Semi-local Features for Non-rigid Shapes

      • Roee Litman, Alexander M. Bronstein, Michael M. Bronstein
      Pages 161-189
    3. A Brief Survey on Semi-Lagrangian Schemes for Image Processing

      • Elisabetta Carlini, Maurizio Falcone, Adriano Festa
      Pages 191-218
    4. Remeshing by Curvature Driven Diffusion

      • Serena Morigi, Marco Rucci
      Pages 245-262
    5. Group-Valued Regularization for Motion Segmentation of Articulated Shapes

      • Guy Rosman, Michael M. Bronstein, Alexander M. Bronstein, Alon Wolf, Ron Kimmel
      Pages 263-281
  4. Optimization Methods for Shape Analysis

    1. Front Matter

      Pages 325-325
    2. Non-rigid Shape Correspondence Using Pointwise Surface Descriptors and Metric Structures

      • Anastasia Dubrovina, Dan Raviv, Ron Kimmel
      Pages 327-342
    3. A Review of Geometry Recovery from a Single Image Focusing on Curved Object Reconstruction

      • Martin R. Oswald, Eno Töppe, Claudia Nieuwenhuis, Daniel Cremers
      Pages 343-378

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)

Editors and Affiliations

  • , Inst. for Appl. Math.&Scient.Comp., Brandenburg Technical University, Cottbus, Germany

    Michael Breuß

  • Department of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel

    Alfred Bruckstein

  • School of Electrical &, Computer Engineering, National Technical University of Athens, Athens, Greece

    Petros Maragos

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access