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Innovations for Shape Analysis

Models and Algorithms

  • Book
  • © 2013

Overview

  • 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. Discrete Shape Analysis

  2. Partial Differential Equations for Shape Analysis

  3. Optimization Methods for Shape Analysis

Keywords

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

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