Representing Three-Dimensional Cross Fields Using Fourth Order Tensors

DOI10.1007/978-3-030-13992-6_6zbMath1448.15031arXiv1808.03999OpenAlexW3098581936MaRDI QIDQ3296606

Alexandre Chemin, Jean-François Remacle, François Henrotte, Jean Van Schaftingen

Publication date: 30 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03999

zbMATH Keywords

spherical harmonics\(\mathrm{SO}(3)\)fourth order tensors

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of finite groups of Lie type (20C33) Multilinear algebra, tensor calculus (15A69)

Related Items (7)

Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains ⋮ Tetrahedral frame fields via constrained third-order symmetric tensors ⋮ Topological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionals ⋮ Topological singularities for vector-valued Sobolev maps and applications ⋮ A Variational Method for Generating $n$-Cross Fields Using Higher-Order $Q$-Tensors ⋮ Lifting for manifold-valued maps of bounded variation ⋮ Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold

Cites Work

• Fully‐automated hex‐dominant mesh generation with directionality control via packing rectangular solid cells

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