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＜電子ブック＞
An Introduction to Random Currents and Their Applications / by Vincenzo Capasso
(SpringerBriefs in Mathematics. ISSN:21918201)

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2018
大きさ	XIII, 143 p : online resource
著者標目	*Capasso, Vincenzo author SpringerLink (Online service)
件　名	LCSH:Measure theory LCSH:Computer vision LCSH:Probabilities FREE:Measure and Integration FREE:Computer Vision FREE:Probability Theory
一般注記	1. Introduction and motivations -- 2. Differential forms -- 3.Currents - The deterministic case -- 4.Currents - The stochastic case -- 5.Applications -- Appendix -- References -- Glossary -- Index. This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends distribution to linear functionals within the space of differential forms of any order. Methods to extend random distributions to random currents are introduced and analyzed in this book. Beginning with an overview of mathematical aspects of the theory of currents, this book moves on to examine applications in medicine, material science, and image analysis. Applied researchers will find the practical modern mathematical methods along with the detailed appendix useful to stimulate new applications and research. HTTP:URL=https://doi.org/10.1007/978-3-319-94577-4

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