Titel: Statistics and Analysis of Shapes
Herausgegeben von Hamid Krim, Anthony Yezzi
3. Mai 2006 - gebunden - 396 Seiten
'The subject of pattern analysis and recognition pervades many aspects of our daily lives, including user authentication in banking, object retrieval from databases in the consumer sector, and the omnipresent surveillance and security measures around sensitive areas. Shape analysis, a fundamental building block in many approaches to these applications, is also used in statistics, biomedical applications (Magnetic Resonance Imaging), and many other related disciplines.With contributions from some of the leading experts and pioneers in the field, this self-contained, unified volume is the first comprehensive treatment of theory, methods, and algorithms available in a single resource. Developments are discussed from a rapidly increasing number of research papers in diverse fields, including the mathematical and physical sciences, engineering, and medicine.
Introduction S. Bouix, K. Siddiqi, A. Tannenbaum, and S.W. Zucker: Medial Axis Computation and Evolution P.T. Fletcher, S.M. Pizer, adn S.C. Joshi: Shape Variation of Medial Axis Representations via Principal Geodesic Analysis of Symmetric Spaces S.H. Balloch and H. Krim: 2D Shape Modeling Using Skeletal Graphs in a Morse Theoretic Framework S. Belongie, G. Mori, and J. Malik: Matching with Shape Contexts P. Musé, F. Sur, F. Cao, Y. Gousseau, and J.-M. Morel: Shape Recognition Based on a Contrario Methodology S. Manay, D. Cremers, B.-W. Hong, A. Yezzi, Jr., and S. Soatto: Integral Invariants and Shape Matching N. Paragios, M. Taron, X. Huang, M. Rousson, and D. Metaxas: On the Representation of Shapes Using Implicit Functions F. Mémoli and G. Sapiro: Computing with Point Cloud Data J.A. Costa and A.O. Hero III: Determining Intrinsic Dimension and Entropy of High-Dimensional Shape Spaces G. Arnold, P.F. Stiller, and K. Sturtz: Object-Image Metrics for Generalized Weak Perspective Projection X. Descombes and E. Pechersky: Wulff Shapes at Zero Temperature for Some Models Used in Image Processing S. Angenent, A. Tannenbaum, A. Yezzi, Jr., and O. Zeitouni: Curve Shortening and Interacting Particle Systems S. Joshi, D. Kaziska, A. Srivastava, and W. Mio: Riemannian Structures on Shape Spaces: A Framework for Statistical Inferences J. Glaunès, A. Trouvé, and L. Younes: Modeling Planar Shape Variation via Hamiltonian Flows of Curves G. Charpiat, O. Faugeras, R. Keriven, and P. Maurel: Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics
From the reviews:
"This edited volume is a state-of-the-art collection of papers in digital image processing and analysis. ... The book is intellectually stimulating and written for researchers in electrical engineering, computer science, computational statistics, or applied mathematics. It will be useful for presentations in research seminars or in journal clubs in these areas." (Victor Patrangenaru, Journal of the American Statistical Association, Vol. 103 (484), December, 2008)