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Conformal surface splines

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Publication:6654681
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DOI10.1016/j.difgeo.2024.102200MaRDI QIDQ6654681

Ulrich Pinkall, Yousuf Soliman, Peter Schröder

Publication date: 20 December 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)




zbMATH Keywords

surface splinesconformal immersions


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Conformal structures on manifolds (53C18)


Cites Work

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  • Minimizers of the Willmore functional under fixed conformal class
  • Constrained Willmore surfaces
  • Bryant surfaces with smooth ends
  • Discrete curvature and torsion from cross-ratios
  • Finite element approximation of large bending isometries
  • Discrete conformal maps and ideal hyperbolic polyhedra
  • An imbedding of closed Riemann surfaces in Euclidean space
  • Embeddings of open Riemann surfaces
  • Conformal mesh deformations with Möbius transformations
  • COMBINATORIAL YAMABE FLOW ON SURFACES
  • $n$-transitivity of certain diffeomorphism groups
  • A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
  • Constrained Willmore Surfaces
  • Commuting Hamiltonian Flows of Curves in Real Space Forms
  • Robust fairing via conformal curvature flow







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