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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语言 英语 ● 格式 EPUB ● ISBN 9783319519517 ● 编辑 Eva B. Vedel Jensen & Markus Kiderlen ● 出版者 Springer International Publishing ● 发布时间 2017 ● 下载 3 时 ● 货币 EUR ● ID 6286761 ● 复制保护 Adobe DRM
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