Tensor Valuations and Their Applications in Stochastic Geometry and Imaging [electronic resource] / edited by Eva B. Vedel Jensen, Markus Kiderlen.

Інтелектуальна відповідальність: Вид матеріалу: Текст Серія: Lecture Notes in Mathematics ; 2177Публікація: Cham : Springer International Publishing : Imprint: Springer, 2017Видання: 1st ed. 2017Опис: XIV, 462 p. 25 illus., 16 illus. in color. online resourceТип вмісту:
  • text
Тип засобу:
  • computer
Тип носія:
  • online resource
ISBN:
  • 9783319519517
Тематика(и): Додаткові фізичні формати: Printed edition:: Немає назви; Printed edition:: Немає назвиДесяткова класифікація Дьюї:
  • 516 23
Класифікація Бібліотеки Конгресу:
  • QA440-699
Електронне місцезнаходження та доступ:
Вміст:
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.
У: Springer eBooksЗведення: 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.
Тип одиниці: ЕКнига Списки з цим бібзаписом: Springer Ebooks (till 2020 - Open Access)+(2017 Network Access)) | Springer Ebooks (2017 Network Access))
Мітки з цієї бібліотеки: Немає міток з цієї бібліотеки для цієї назви. Ввійдіть, щоб додавати мітки.
Оцінки зірочками
    Середня оцінка: 0.0 (0 голос.)
Немає реальних примірників для цього запису

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.

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.

Available to subscribing member institutions only. Доступно лише організаціям членам підписки.

Online access from local network of NaUOA.

Online access with authorization at https://link.springer.com/

Онлайн-доступ з локальної мережі НаУОА.

Онлайн доступ з авторизацією на https://link.springer.com/

Немає коментарів для цієї одиниці.

для можливості публікувати коментарі.