New rotational integrals in space forms, with an application to surface area estimation
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Títol
New rotational integrals in space forms, with an application to surface area estimationData de publicació
2016-08Editor
SpringerISSN
0862-7940Cita bibliogràfica
GUAL-ARNAU, Ximo; CRUZ-ORIVE, Luis M. New rotational integrals in space forms, with an application to surface area estimation. Applications of Mathematics, 2016, vol. 61, no 4, p. 489-501Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
The original publication is available at www.dml.czVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
A surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse ... [+]
A surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse theory. We follow a different route to obtain related formulae which are more manageable and valid for submanifolds in constant curvature spaces. As an application, we obtain a simplified version of the mentioned surface area estimator for non-convex sets of smooth boundary. [-]
Publicat a
Applications of Mathematics, 2016, vol. 61, no 4Drets d'accés
© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2016
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