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Simplicial diffeomorphisms

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Publication:631530
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DOI10.1016/j.cagd.2010.08.002zbMath1210.65063OpenAlexW2914452335MaRDI QIDQ631530

Vinícius Mello, Luiz Velho

Publication date: 14 March 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2010.08.002


zbMATH Keywords

simplicial complexhypersurfacesgeometric modelingbarycentric coordinatesgraphical examplesfree-form deformationsimplicit curves and surfacessimplicial diffeomorphisms


Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)


Related Items (1)

Simplicial diffeomorphisms



Cites Work

  • Efficient mesh deformation using tetrahedron control mesh
  • Topological mesh operators
  • Simplicial diffeomorphisms
  • A general geometric construction of coordinates in a convex simplicial polytope
  • On the injectivity of Wachspress and mean value mappings between convex polygons
  • A rational finite element basis
  • Mean value coordinates
  • Mean value coordinates in 3D
  • Locally one-to-one mappings and a classical theorem on schlicht functions
  • Generalized Barycentric Coordinates on Irregular Polygons
  • Some Geometrical Aspects of Control Points for Toric Patches


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