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Vertex Normals and Face Curvatures of Triangle Meshes

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Publication:2832777
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DOI10.1007/978-3-662-50447-5_8zbMath1356.53015OpenAlexW2518562111MaRDI QIDQ2832777

Xiang Sun, Johannes Wallner, Helmut Pottmann, Caigui Jiang

Publication date: 14 November 2016

Published in: Advances in Discrete Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-50447-5_8


zbMATH Keywords

curvatureshape operatorSteiner's formulanormal congruencediscrete line congruence


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Differential line geometry (53A25) Polyhedral manifolds (52B70)


Related Items (1)

High order surface radiation conditions for time-harmonic waves in exterior domains



Cites Work

  • Unnamed Item
  • Generalized shape operators on polyhedral surfaces
  • Integral invariants for robust geometry processing
  • The focal geometry of circular and conical meshes
  • A curvature theory for discrete surfaces based on mesh parallelity
  • Transformations of quadrilateral lattices
  • Poncelet Porisms and Beyond


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