Mean covariogram of cylinders and applications to Boolean random sets
- Авторлар: Willot F.1
-
Мекемелер:
- Mines ParisTech
- Шығарылым: Том 52, № 6 (2017)
- Беттер: 305-315
- Бөлім: Stochastic and Integral Geometry
- URL: https://journals.rcsi.science/1068-3623/article/view/228106
- DOI: https://doi.org/10.3103/S1068362317060061
- ID: 228106
Дәйексөз келтіру
Аннотация
This work focuses on the variance properties of isotropic Boolean random sets containing randomly-oriented cylinders with circular cross-section. Emphasis is put on cylinders with large aspect ratios, of the oblate and prolate types. A link is established between the power law decay of the covariance function and the variance of the estimates of the volume fraction of cylinders. The covariance and integral range of the Boolean mixtures are expressed in terms of the orientation-averaged covariogram of cylinders, for which exact analytical formulas and approximate expressions are provided.
Негізгі сөздер
Авторлар туралы
F. Willot
Mines ParisTech
Хат алмасуға жауапты Автор.
Email: francois.willot@ensmp.fr
Франция, Paris