Shape and Shape Theory

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Shape and Shape Theory D. G. Kendall Churchill College, Universityof Cambridge, UK D. Barden Girton College, University of Cambridge,UK T. K. Carne King's College, University of Cambridge, UK H. LeUniversity of Nottingham, UK The statistical theory of shape is arelatively new topic and is generating a great deal of interest andcomment by statisticians, engineers and computer scientists.Mathematically, 'shape' is the geometrical information required todescribe an object when location, scale and rotational effects areremoved. The theory was pioneered by Professor David Kendall tosolve practical problems concerning shape. This text presents anelegant account of the theory of shape that has evolved fromKendall's work. Features include: * A comprehensive account of Kendall's shape spaces * A variety of topological and geometric invariants of thesespaces * Emphasis on the mathematical aspects of shape analysis * Coverage of the mathematical issues for a wide range ofapplications The early chapters provide all the necessary backgroundinformation, including the history and applications of shapetheory. The authors then go on to analyse the topic, in brilliantdetail, in a variety of different shape spaces. Kendall's ownprocedures for visualising distributions of shapes and shapeprocesses are covered at length. Implications from other branchesof mathematics are explored, along with more advanced applications,incorporating statistics and stochastic analysis. Appliedstatisticians, applied mathematicians, engineers and computerscientists working and researching in the fields of archaeology,astronomy, biology, geography and physical chemistry will find thisbook of great benefit. The theories presented are used today in awide range of subjects from archaeology through to physics, andwill provide fascinating reading to anyone engaged in suchresearch. Visit our web page! http://www.wiley.com/

Autor*in

D. G. Kendall

Themen in »Shape and Shape Theory«

Angewandte Mathematik Applied Mathematics Mathematics Mathematik Probability & Mathematical Statistics Shape-Theorie Statistics Statistik Topologie Wahrscheinlichkeitsrechnung u. mathematische Statistik

Stimmen zu »Shape and Shape Theory«

"This is a fascinating book mixing geometry, topology andprobability theory..." (London Mathematical SocietyBulletin, Vol 32, 2000) "The potential value that his volume should have to researchersin many areas for years to come." (Short Book Reviews,August 2000) "I would like to conclude this review by strongly recommendingthat geodists have this book on desk within ready reach of hands"(Journal of Geodesy, Vol. 75, 2001) "...a mathematical jewel..." (Mathematical Reviews,2003g)
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