Description
BIRKHAUSER Statistics And Analysis Of Shapes 2006 Edition by Hamid Krim Anthony Yezzi
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. Table of contents : 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. Muse 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. Memoli 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. Glaunes A. Trouve 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