Surfaces of characteristic curvature
Vladimír Fiřt (1974)
Aplikace matematiky
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Vladimír Fiřt (1974)
Aplikace matematiky
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Rashad A. Abdel-Baky, Ashwaq J. Al-Bokhary (2008)
Archivum Mathematicum
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Based on the E. Study’s map, a new approach describing instantaneous line congruence during the motion of the Darboux frame on a regular non-spherical and non-developable surface, whose parametric curves are lines of curvature, is proposed. Afterward, the pitch of general line congruence is developed and used for deriving necessary and sufficient condition for instantaneous line congruence to be normal. In terms of this, the derived line congruences and their differential geometric invariants...
Manfred Armbrust (1973)
Colloquium Mathematicae
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Fujioka, A., Inoguchi, J. (1999)
Lobachevskii Journal of Mathematics
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Medľa, Matej, Mikula, Karol
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There exist two main methods for computing a surface evolution, level-set method and Lagrangian method. Redistribution of points is a crucial element in a Lagrangian approach. In this paper we present a point redistribution that compress quads in the areas with a high Gaussian curvature. Numerical method is presented for a mean curvature flow of a surface approximated by quads.
Scott Ahlgren (2003)
Acta Arithmetica
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Marica D. Prešić (1979)
Publications de l'Institut Mathématique
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Große-Brauckmann, Karsten, Polthier, Konrad (1997)
Experimental Mathematics
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Hao Pan (2007)
Acta Arithmetica
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