Point processes of cylinders, particles and flats

Acta Applicandae Mathematicae

Volumn 9, Issue 1-2, 1987, Pages 103-136

  Well, Wolfgang ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

AMS Subject classification (1980): Primary 60D05, secondary 60G55, 60 02, 52A22, 53C65, 62P99; curvature measure; Geometric point process; image analysis; integral geometry; quermass density; stereology

Indexed keywords

EID: 0000535748     PISSN: 01678019     EISSN: 15729036     Source Type: Journal    
DOI: 10.1007/BF00580825     Document Type: Article

References (60)

1. Convex Polygons and Random Tessellations
2. Stochastic Geometry from the Standpoint of Integral Geometry
3. Properties of Ergodic Random Mosaic Processes
4. Projected Thick Sections through Multidimensional Particle Aggregates
5. Stereological Uses of the Area Tangent Count
6. Plate and Line Segment Processes
7. nRandom Processes of Manifolds in R
8. Estimators of the Number of Objects per Area Unbiased by Edge Effects
9. On Edge Effect in Planar Sampling
10. Generalized Associated Point Methods for Sampling Planar Objects
11. Counting Figures in Planar Random Configurations
12. Minkowski Functionals of Boisson Processes
13. La formule de Crofton pour les sections épaisses
14. Valuations on Convex Bodies
15. Palm Methods for Stationary Random Mosaics
16. Stereological Formulas for Manifold Processes
17. Formulas for Stationary Planar Fibre Processes III—Intersections with Fibre Systems
18. Parametric Representation of Mean Values for Stationary Random Mosaics
19. Statlonäre räumliche Faserprozesse und ihre Schnittzahlrosen
20. Formulas for Stationary Planar Fibre Processes I—General Theory
21. Stereological Problems for Spherical Particles
22. On the Elimination of Edge Effects in Planar Sampling
23. The Importance of Proper Model Specification in Stereology
24. Dünne Schnitte von stationären räumlichen Faserprozessen
25. Ergodic Theorems for Spatial Processes
26. A Remark on the Estimation of the Rose of Directions of Fibre Processes
27. Stereological Formulas for Stationary Surface Processes
28. Some Mean Value Relations on Stationary Random Mosaics in the Space
29. Boundary Structure and Curvature of Convex Bodies
30. Parallelmengen mit Vielfachheit und Steiner-Formeln
31. Curvature Measures and Integral Geometry of Convex Bodies
32. Crofton's Formula Generalized to Projected Thick Sections
33. Zonoids and Related Toples
34. Translative and Kinematic Integral Formulae for Curvature Measures
35. Proofs of Some Fundamental Formulas of Stereology for Non-Poisson Grain Models
36. Stereological Formulae for Size Distributions via Marked Point Processes
37. Further Stereological Formulae for Spatial Fibre Processes
38. Estimating the Volume Density from Thin Sections
39. Stereological Determination of Orientations, Second-Order Quantities and Correlations for Random Spatial Fibre Systems
40. Formulas for Stationary Planar Fibre Processes II—Partially Oriented Fibre Systems
41. On the Stereological Estimation of Numerical Density of Particle Systems by an Object Counting Method
42. Inner Contact Probabilities for Convex Bodies
43. Stereology—a Survey for Geometers
44. Stereological Results for Curvature Measures
45. Densities of Quermassintegrals for Stationary Random Sets
46. Densities for Stationary Random Sets and Point Processes
47. Random Processes of Hausdorf Rectifiable Closed Sets
48. Thick Section Stereology for Random Fibres
49. Curvature Measures and Random Sets II