Numerical solution of the Minkowski problem

DOI10.1016/S0377-0427(01)00360-0zbMath0997.52006MaRDI QIDQ5953928

Mikko Kaasalainen, Lars Lamberg

Publication date: 11 November 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Newton's methodisoperimetric inequalityspherical harmonicsmixed volumegradient methodcurvature functionsupport function

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to convex and discrete geometry (52-04) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items

Reconstruction problems of convex bodies from surface area measures and lightness functions ⋮ On the Orlicz Minkowski problem for polytopes ⋮ Applications of new affine invariant for polytopes

Cites Work

• The Weyl and Minkowski problems in differential geometry in the large
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