Integral Geometry and Geometrical Probability

1978 ◽  
Vol 62 (419) ◽  
pp. 72
Author(s):  
B. D. Ripley ◽  
Luis A. Santalo
Keyword(s):  
Integral Geometry ◽  
Geometrical Probability

A third note on recent research in geometrical probability

1974 ◽  
Vol 6 (01) ◽  
pp. 103-130 ◽  
Author(s):  
D. V. Little
Keyword(s):  
Pattern Recognition ◽  
Integral Geometry ◽  
Random Search ◽  
Euclidean Spaces ◽  
Geometrical Probability

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, flats, and networks in Euclidean spaces, pattern recognition, random coverage and packing, random search, stereology, and probabilistic aspects of integral geometry.

A fourth note on recent research in geometrical probability

1977 ◽  
Vol 9 (04) ◽  
pp. 824-860 ◽  
Author(s):  
Adrian Baddeley
Keyword(s):  
Integral Geometry ◽  
Random Sets ◽  
Euclidean Spaces ◽  
Line Segments ◽  
Geometrical Probability ◽  
Random Division

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, line-segments and flats in Euclidean spaces, the random division of space, coverage, packing, random sets, stereology and probabilistic aspects of integral geometry.

A fourth note on recent research in geometrical probability

1977 ◽  
Vol 9 (4) ◽  
pp. 824-860 ◽  
Author(s):  
Adrian Baddeley
Keyword(s):  
Integral Geometry ◽  
Random Sets ◽  
Euclidean Spaces ◽  
Line Segments ◽  
Geometrical Probability ◽  
Random Division

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, line-segments and flats in Euclidean spaces, the random division of space, coverage, packing, random sets, stereology and probabilistic aspects of integral geometry.

A third note on recent research in geometrical probability

1974 ◽  
Vol 6 (1) ◽  
pp. 103-130 ◽  
Author(s):  
D. V. Little
Keyword(s):  
Pattern Recognition ◽  
Integral Geometry ◽  
Random Search ◽  
Euclidean Spaces ◽  
Geometrical Probability

Recent research on topics related to geometrical probability is reviewed. The survey includes articles on random points, lines, flats, and networks in Euclidean spaces, pattern recognition, random coverage and packing, random search, stereology, and probabilistic aspects of integral geometry.

Absolute curvatures in integral geometry

1980 ◽  
Vol 88 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Adrian J. Baddeley
Keyword(s):  
Cross Section ◽  
Integral Geometry ◽  
Convex Bodies ◽  
Practical Applications ◽  
Geometrical Probability ◽  
Lower Dimensional ◽  
Canonical Status ◽  
Surface Integrals

Surface integrals of curvature arise naturally in integral geometry and geometrical probability, most often in connection with the Quermassintegrale or cross-section integrals of convex bodies. They enjoy many desirable properties, such as the ability to be determined by summing or averaging over lower-dimensional sections or projections. In fact the Quermassintegrale are the only functionals of convex bodies to meet certain, quite reasonable, requirements. The conclusion has often been drawn, especially in practical applications, that the Quermassintegrale and their associated curvature integrals have a canonical status to the exclusion of all other quantities.

Bounds for coverage probabilities with applications to sequential coverage problems

1974 ◽  
Vol 11 (02) ◽  
pp. 281-293 ◽  
Author(s):  
Peter J. Cooke
Keyword(s):  
Asymptotic Behaviour ◽  
Stopping Rules ◽  
Geometrical Probability ◽  
Coverage Probabilities ◽  
Coverage Problems

This paper discusses general bounds for coverage probabilities and moments of stopping rules for sequential coverage problems in geometrical probability. An approach to the study of the asymptotic behaviour of these moments is also presented.

scholarly journals Integral-geometry morphological image analysis

2001 ◽  
Vol 347 (6) ◽  
pp. 461-538 ◽  
Author(s):  
K. Michielsen ◽  
H. De Raedt
Keyword(s):  
Image Analysis ◽  
Integral Geometry ◽  
Morphological Image Analysis ◽  
Morphological Image
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