Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
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...
| Συγγραφή απο Οργανισμό/Αρχή: | |
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| Άλλοι συγγραφείς: | , |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Σειρά: | Lecture Notes in Mathematics,
2177 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
