Densities for stationary random sets and point processes
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For certain stationary random sets X, densities Dφ (X) of additive functionals φ are defined and formulas for are derived when K is a compact convex set in . In particular, for the quermassintegrals and motioninvariant X, these formulas are in analogy with classical integral geometric formulas. The case where X is the union set of a Poisson process Y of convex particles is considered separately. Here, formulas involving the intensity measure of Y are obtained.
1984 ◽
Vol 16
(02)
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pp. 324-346
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1996 ◽
Vol 28
(02)
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pp. 384-393
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1999 ◽
Vol 31
(02)
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pp. 315-342
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1999 ◽
Vol 31
(2)
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pp. 315-342
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1977 ◽
Vol 14
(03)
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pp. 483-491
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2001 ◽
Vol 70
(3)
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pp. 323-336
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1974 ◽
Vol 6
(03)
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pp. 563-579
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1984 ◽
Vol 27
(2)
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pp. 233-237
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