Tensor Valuations and Their Applications in Stochastic Geometry and Imaging by E

Description: Tensor Valuations and Their Applications in Stochastic Geometry and Imaging by Eva B. Vedel Jensen, Markus Kiderlen 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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. Back Cover 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. Table of Contents 1 Valuations on Convex Bodies – the Classical Basic Facts: Rolf Schneider.- 2 Tensor Valuations and Their Local Versions: Daniel Hug and Rolf Schneider.- 3 Structures on Valuations: Semyon Alesker.- 4 Integral Geometry and Algebraic Structures for Tensor Valuations: Andreas Bernig and Daniel Hug.- 5 Crofton Formulae for Tensor-Valued Curvature Measures: Daniel Hug and Jan A. Weis.- 6 A Hadwiger-Type Theorem for General Tensor Valuations: Franz E. Schuster.- 7 Rotation Invariant Valuations: Eva B.Vedel Jensen and Markus Kiderlen.- 8 Valuations on Lattice Polytopes: Károly J. Böröczky and Monika Ludwig.- 9 Valuations and Curvature Measures on Complex Spaces: Andreas Bernig.- 10 Integral Geometric Regularity: Joseph H.G. Fu.- 11 Valuations and Boolean Models: Julia Hörrmann and Wolfgang Weil.- 12 Second Order Analysis of Geometric Functionals of Boolean Models: Daniel Hug, Michael A. Klatt, GÜnter Last and Matthias Schulte.- 13 Cell Shape Analysis of Random Tessellations Based on Minkowski Tensors: Michael A. Klatt, GÜnter Last, Klaus Mecke, Claudia Redenbach, Fabian M. Schaller, Gerd E. Schröder-Turk.- 14 Stereological Estimation of Mean Particle Volume Tensors in R3 from Vertical Sections: Astrid Kousholt, Johanna F. Ziegel, Markus Kiderlen.- 15 Valuations in Image Analysis: Anne Marie Svane. Feature 15 chapters written by experts in their fields give a comprehensive overview of the modern theory of tensor valuations Includes new yet unpublished results that make this volume an up-to-date survey of valuation theory Chapters on applications of tensor valuations deepen understanding and emphasize the usefulness of theoretical concepts Details ISBN3319519506 Year 2017 ISBN-10 3319519506 ISBN-13 9783319519500 Format Paperback Pages 462 Publication Date 2017-06-12 Edition 1st Imprint Springer International Publishing AG Place of Publication Cham Country of Publication Switzerland Edited by Markus Kiderlen DEWEY 519.2 Illustrations 16 Illustrations, color; 9 Illustrations, black and white; XIV, 462 p. 25 illus., 16 illus. in color. Language English Media Book DOI 10.1007/978-3-319-51951-7 Series Number 2177 Author Markus Kiderlen Publisher Springer International Publishing AG Edition Description 1st ed. 2017 Series Lecture Notes in Mathematics Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:131027622;

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