Robust Subspace Estimation Using Low-Rank Optimization

Theory and Applications
2014
ISBN: 978-3-319-04183-4
Verlag: Springer International Publishing

Buch, Englisch, Band 12, 114 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 354 g

Reihe: The International Series in Video Computing

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.

Zielgruppe

Research

Autoren/Hrsg.

Shah, Mubarak

Oreifej, Omar

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Bildsignalverarbeitung
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Signalverarbeitung, Bildverarbeitung, Scanning
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Computer Vision

Inhaltsverzeichnis

Introduction.- Background and Literature Review.- Seeing Through Water: Underwater Scene Reconstruction.- Simultaneous Turbulence Mitigation and Moving Object Detection.- Action Recognition by Motion Trajectory Decomposition.- Complex Event Recognition Using Constrained Rank Optimization.- Concluding Remarks.- Extended Derivations for Chapter 4.