Language: English
Published by World Scientific Pub Co Inc, 1999
ISBN 10: 9810236727 ISBN 13: 9789810236724
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Published by Chapman and Hall/CRC, 2004
ISBN 10: 1584884053 ISBN 13: 9781584884057
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Language: English
Published by Springer International Publishing, Springer Nature Switzerland Jun 2017, 2017
ISBN 10: 3319519506 ISBN 13: 9783319519500
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Taschenbuch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 476 pp. Englisch.
Language: English
Published by Springer International Publishing, Springer International Publishing, 2017
ISBN 10: 3319519506 ISBN 13: 9783319519500
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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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Taschenbuch. Condition: Neu. Tensor Valuations and Their Applications in Stochastic Geometry and Imaging | Eva B. Vedel Jensen (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xiv | Englisch | 2017 | Springer | EAN 9783319519500 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Published by Springer International Publishing AG, Cham, 2025
ISBN 10: 3031870468 ISBN 13: 9783031870460
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Hardcover. Condition: new. Hardcover. This self-contained book offers an extensive state-of-the-art exposition of rotational integral geometry, a field that has reached significant maturity over the past four decades. Through a unified description of key results previously scattered across various scientific journals, this book provides a cohesive and thorough account of the subject. Initially, rotational integral geometry was driven by applications in fields such as optical microscopy. Rotational integral geometry has now evolved into an independent mathematical discipline. It contains a wealth of theorems paralleling those in classical kinematic integral geometry for Euclidean spaces, such as the rotational Crofton formulae, rotational slice formulae, and principal rotational formulae. The present book presents these for very general tensor valuations in a convex geometric setting. It also discusses various applications in the biosciences, explained with a mathematical audience in mind. This book is intended for a diverse readership, including specialists in integral geometry, and researchers and graduate students working in integral, convex, and stochastic geometry, as well as geometric measure theory. It contains a wealth of theorems paralleling those in classical kinematic integral geometry for Euclidean spaces, such as the rotational Crofton formulae, rotational slice formulae, and principal rotational formulae. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer International Publishing AG, Cham, 2025
ISBN 10: 3031870468 ISBN 13: 9783031870460
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Hardcover. Condition: new. Hardcover. This self-contained book offers an extensive state-of-the-art exposition of rotational integral geometry, a field that has reached significant maturity over the past four decades. Through a unified description of key results previously scattered across various scientific journals, this book provides a cohesive and thorough account of the subject. Initially, rotational integral geometry was driven by applications in fields such as optical microscopy. Rotational integral geometry has now evolved into an independent mathematical discipline. It contains a wealth of theorems paralleling those in classical kinematic integral geometry for Euclidean spaces, such as the rotational Crofton formulae, rotational slice formulae, and principal rotational formulae. The present book presents these for very general tensor valuations in a convex geometric setting. It also discusses various applications in the biosciences, explained with a mathematical audience in mind. This book is intended for a diverse readership, including specialists in integral geometry, and researchers and graduate students working in integral, convex, and stochastic geometry, as well as geometric measure theory. It contains a wealth of theorems paralleling those in classical kinematic integral geometry for Euclidean spaces, such as the rotational Crofton formulae, rotational slice formulae, and principal rotational formulae. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
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Language: English
Published by WORLD SCIENTIFIC PUB CO INC, 1998
ISBN 10: 9810224540 ISBN 13: 9789810224547
Seller: Buchpark, Trebbin, Germany
Condition: Gut. Zustand: Gut | Seiten: 264 | Sprache: Englisch | Produktart: Bücher | This book provides a unified exposition of local-stereological methods developed within the last 15 years. The object of local stereology is to draw inference about quantitative parameters of spatial structures which can be regarded as neighbourhoods of points, called reference points. The model example is a biological cell which can be regarded as a neighbourhood of its nucleus. In local stereology, information from sections through the reference point is used. Only very weak assumptions are needed for the structure under study. For instance, specific cell shape assumptions are not necessary.In order to reach a broader audience, the book has been written not only for specialists in stereology, integral geometry and geometric measure theory. In particular, Chapter 1 is an elementary introduction to stereology and the book contains about 75 illustrations. The theory of local steroelogy involves, however, advanced mathematical tools, which constitute an important part of the book.Local-stereological methods are now in world-wide use in the microscopical study of biological tissue, and this invaluable book also contains a description of how the local methods are used in practice.
Language: English
Published by Chapman and Hall/CRC, 2004
ISBN 10: 1584884053 ISBN 13: 9781584884057
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Language: English
Published by Chapman and Hall/CRC 2004-11-29, 2004
ISBN 10: 1584884053 ISBN 13: 9781584884057
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Language: English
Published by Chapman and Hall/CRC, 2004
ISBN 10: 1584884053 ISBN 13: 9781584884057
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