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001 978-0-8176-4481-9
003 DE-He213
005 20251006084435.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780817644819
020 _a99780817644819
024 7 _a10.1007/0-8176-4481-4
_2doi
082 0 4 _a003.3
_223
100 1 _aKrim, Hamid.
_eeditor.
245 1 0 _aStatistics and Analysis of Shapes
_h[electronic resource] /
_cedited by Hamid Krim, Anthony Yezzi.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2006.
300 _aXI, 395 p. 143 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModeling and Simulation in Science, Engineering and Technology
505 0 _aMedial Axis Computation and Evolution -- Shape Variation of Medial Axis Representations via Principal Geodesic Analysis on Symmetric Spaces -- 2D Shape Modeling using Skeletal Graphs in a Morse Theoretic Framework -- Matching with Shape Contexts -- Shape Recognition Based on an a Contrario Methodology -- Integral Invariants and Shape Matching -- On the Representation of Shapes Using Implicit Functions -- Computing with Point Cloud Data -- Determining Intrinsic Dimension and Entropy of High-Dimensional Shape Spaces -- Object-Image Metrics for Generalized Weak Perspective Projection -- Wulff Shapes at Zero Temperature for Some Models Used in Image Processing -- Curve Shortening and Interacting Particle Systems -- Riemannian Structures on Shape Spaces: A Framework for Statistical Inferences -- Modeling Planar Shape Variation via Hamiltonian Flows of Curves -- Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics.
520 _aThe 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, without the typical quagmire of vast information scattered over a wide body of literature. Developments are discussed from a rapidly increasing number of research papers in diverse fields, including the mathematical and physical sciences, engineering, and medicine. The initial chapters explore the statistical modeling of landmarks while subsequent chapters address the probabilistic modeling of entire shapes. The latter part of the book, with the exception of the last two chapters, concentrates on case studies as well as implementational and practical challenges in real systems. Extensive illustrations throughout help readers overcome the sometimes terse technical details of the geometric and probabilistic formalism. Knowledge of advanced calculus and basic statistics and probability theory are the only prerequisites for the reader. Statistics and Analysis of Shapes will be an essential learning kit for statistical researchers, engineers, scientists, medical researchers, and students seeking a rapid introduction to the field. It may be used as a textbook for a graduate-level special topics course in statistics and signal/image analysis, or for an intensive short course on shape analysis and modeling. The state-of-the-art techniques presented will also be useful for experienced researchers and practitioners in academia and industry.
650 0 _aMATHEMATICS.
650 0 _aOPTICAL PATTERN RECOGNITION.
650 0 _aVISUALIZATION.
650 0 _aGLOBAL DIFFERENTIAL GEOMETRY.
650 0 _aSTATISTICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.
650 2 4 _aSTATISTICS FOR LIFE SCIENCES, MEDICINE, HEALTH SCIENCES.
650 2 4 _aVISUALIZATION.
650 2 4 _aPATTERN RECOGNITION.
650 2 4 _aSIGNAL, IMAGE AND SPEECH PROCESSING.
650 2 4 _aDIFFERENTIAL GEOMETRY.
700 1 _aYezzi, Anthony.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817643768
830 0 _aModeling and Simulation in Science, Engineering and Technology
856 4 0 _uhttp://dx.doi.org/10.1007/0-8176-4481-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59666
_d59666