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math.MG2022
Intrinsic volumes of ellipsoids
Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets
We deduce explicit formulae for the intrinsic volumes of an ellipsoid in , , in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset \mat…
math.MG2014★ 13 cited
Estimation of fractal dimension and fractal curvatures from digital images
Evgeny Spodarev, Peter Straka, Steffen Winter
Most of the known methods for estimating the fractal dimension of fractal sets are based on the evaluation of a single geometric characteristic, e.g. the volume of its parallel set…