Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

Released on by Eva B. Vedel Jensen
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  • Tensor Valuations and Their Applications in Stochastic Geometry and Imaging Book Detail

  • Author : Eva B. Vedel Jensen
  • Release Date : 2017-06-10
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 469
  • ISBN 13 : 3319519514
  • File Size : 30,30 MB
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Tensor Valuations and Their Applications in Stochastic Geometry and Imaging by Eva B. Vedel Jensen PDF Summary

Book Description: The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. Product and Fourier-type transforms are introduced and various integral formulae are derived. New and well-known results are presented, together with generalizations in several directions, including extensions to the non-Euclidean setting and to non-convex sets. A variety of applications of tensor valuations to models in stochastic geometry, to local stereology and to imaging are also discussed.

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Convex Geometry

Convex Geometry

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This book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021. Convex geometry i