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Rotational Integral Geometry and its Applications

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...

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Autors principals: Vedel Jensen, Eva B. (Autor), Kiderlen, Markus (Autor)
Autor corporatiu: SpringerLink (Online service)
Format: Electrònic eBook
Idioma:anglès
Publicat: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Edició:1st ed. 2025.
Col·lecció:Springer Monographs in Mathematics,
Matèries:
Convex geometry .
Discrete geometry.
Probabilities.
Measure theory.
Convex and Discrete Geometry.
Probability Theory.
Measure and Integration.
Accés en línia:https://doi.org/10.1007/978-3-031-87047-7
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Taula de continguts:
  • - 1. Introduction
  • 2. Convex Bodies and their Classical Integral Geometry
  • 3. Integral Geometric Transformations
  • 4. Rotational Crofton Formulae for Intrinsic Volumes
  • 5. Rotational Crofton Formulae for Minkowski Tensors
  • 6. Rotational Slice Formulae
  • 7. Further Rotational Integral Geometric Formulae
  • 8. Applications to Particle Populations
  • 9. Implementation in Optical Microscopy.

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