Statistics and analysis of shapes

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Pattern analysis and recognition are integral to various aspects of daily life, such as user authentication in banking, object retrieval in consumer databases, and security measures in sensitive areas. Shape analysis, a key component of these applications, is utilized in statistics, biomedical fields like Magnetic Resonance Imaging, and other disciplines. This self-contained volume compiles contributions from leading experts, offering a comprehensive treatment of theory, methods, algorithms, and programs in shape analysis. It covers both planar and three-dimensional shape analysis, synthesizing developments from a growing body of research across mathematical, physical sciences, engineering, and medicine. This resource serves as an essential learning tool for statistical researchers, engineers, scientists, medical researchers, and students seeking a quick introduction to the field. It can function as a textbook for graduate-level courses in statistics and signal/image analysis or for short courses on shape analysis and modeling. Additionally, experienced researchers and practitioners in academia and industry will find it a valuable reference for state-of-the-art techniques. The book includes sections on differential geometry, shape deformation, classification, geodesics, modeling, and applications in medical imaging.