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Robust Subspace Estimation Using Low-Rank Optimization

Theory and Applications

  • Book
  • © 2014

Overview

  • Provides a comprehensive summary of the state-of-the-art methods and applications of Low-Rank Optimization
  • Reviews the latest approaches in a wide range of computer vision problems, including: Scene Reconstruction, Video Denoising, Activity Recognition, and Background Subtraction
  • Involves a self-complete and detailed description of the methods and theories which makes it ideal for graduate students looking for a comprehensive resource in this area
  • Includes supplementary material: sn.pub/extras

Part of the book series: The International Series in Video Computing (VICO, volume 12)

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Table of contents (8 chapters)

Keywords

About this book

Various fundamental applications in computer vision and machine learning require finding the basis of a certain subspace. Examples of such applications include face detection, motion estimation, and activity recognition. An increasing interest has been recently placed on this area as a result of significant advances in the mathematics of matrix rank optimization. Interestingly, robust subspace estimation can be posed as a low-rank optimization problem, which can be solved efficiently using techniques such as the method of Augmented Lagrange Multiplier. In this book, the authors discuss fundamental formulations and extensions for low-rank optimization-based subspace estimation and representation. By minimizing the rank of the matrix containing observations drawn from images, the authors demonstrate  how to solve four fundamental computer vision problems, including video denosing, background subtraction, motion estimation, and activity recognition.

Authors and Affiliations

  • University of California, Berkeley, Berkeley, USA

    Omar Oreifej

  • University of Central Florida, Orlando, USA

    Mubarak Shah

Bibliographic Information

  • Book Title: Robust Subspace Estimation Using Low-Rank Optimization

  • Book Subtitle: Theory and Applications

  • Authors: Omar Oreifej, Mubarak Shah

  • Series Title: The International Series in Video Computing

  • DOI: https://doi.org/10.1007/978-3-319-04184-1

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-04183-4Published: 03 April 2014

  • Softcover ISBN: 978-3-319-35248-0Published: 23 August 2016

  • eBook ISBN: 978-3-319-04184-1Published: 24 March 2014

  • Series ISSN: 1571-5205

  • Edition Number: 1

  • Number of Pages: VI, 114

  • Number of Illustrations: 2 b/w illustrations, 39 illustrations in colour

  • Topics: Computer Imaging, Vision, Pattern Recognition and Graphics

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