Integral Geometry and Geometrical Probability

1978 ◽  
Vol 62 (419) ◽  
pp. 72
Author(s):  
B. D. Ripley ◽  
Luis A. Santalo
1974 ◽  
Vol 6 (01) ◽  
pp. 103-130 ◽  
Author(s):  
D. V. Little

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.


1977 ◽  
Vol 9 (04) ◽  
pp. 824-860 ◽  
Author(s):  
Adrian Baddeley

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.


1977 ◽  
Vol 9 (4) ◽  
pp. 824-860 ◽  
Author(s):  
Adrian Baddeley

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.


1974 ◽  
Vol 6 (1) ◽  
pp. 103-130 ◽  
Author(s):  
D. V. Little

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.


Author(s):  
Adrian J. Baddeley

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.


1974 ◽  
Vol 11 (02) ◽  
pp. 281-293 ◽  
Author(s):  
Peter J. Cooke

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.


2001 ◽  
Vol 347 (6) ◽  
pp. 461-538 ◽  
Author(s):  
K. Michielsen ◽  
H. De Raedt

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