Point processes of cylinders, particles and flats
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Publication:1095485
DOI10.1007/BF00580825zbMath0632.60009OpenAlexW4256087787MaRDI QIDQ1095485
Publication date: 1987
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00580825
stereologyimage analysisgeometric formulas for curvature measuresstationary and isotropic Poisson processes
Geometric probability and stochastic geometry (60D05) Applications of statistics (62P99) Integral geometry (53C65) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
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Cites Work
- Translative integral formulae for convex bodies
- Parallelmengen mit Vielfachheit und Steiner-Formeln
- Crofton's formula generalized to projected thick sections
- A remark on the estimation of the eose of directions of fibre processes
- dünne schnitte von stationaren räumlichen faserprozessen
- Minkowski functionals of Poisson processes
- Densities for stationary random sets and point processes
- Further stereological formulae for spatial fifere pr oc6ss6s
- Parametric representation of mean values for stationary random mosaies
- Thick section stereology for random fibres
- Counting figures in planar random configurations
- Stereological Determination of Orientations, Second-Order Quantities and Correlations for Random Spatial Fibre Systems
- Translative and Kinematic Integral Formulae for Curvature Measures
- Proofs of some fundamental formulas of stereology for non-poissoh grain models
- Formulas for stationary planar fibre processes I - general theory
- Formulas for stationary planar fibre processes II- partially oriented-fibre systems
- Stereological formulas for stationary surface processes
- Formulas for stationary planar fibre processes III – intersections with fibre systems
- Properties of ergodic random mosaic processes
- Some mean value relations on stationary random mosaies in the space
- Stereological Problems for Spherical Particles
- Inner contact probabilities for convex bodies
- Projected thick sections through multi-dimensional particle aggregates
- La formule de crofton pour les sections Épaisses
- Stochastic geometry from the standpoint of integral geometry
- Plate and line segment processes
- Ergodic theorems for spatial processes
- Random processes of manifolds in R n
- Random processes of Hausdorff rectifiable closet sets
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