A new rotational integral formula for intrinsic volumes in space forms
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http://dx.doi.org/10.1016/j.aam.2009.09.003 |
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Títol
A new rotational integral formula for intrinsic volumes in space formsData de publicació
2010Editor
ElsevierISSN
1968858Cita bibliogràfica
Advances in Applied Mathematics, 44, 3, p. 298-308Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold ... [+]
A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold (plane) through a fixed point, such that the rotational average of this functional is equal to the intrinsic volumes of Y. Particular cases of interest in stereology are considered for the Euclidean case. © 2009 Elsevier Inc. All rights reserved. [-]
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