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On the volume of sets bounded by refinable functions

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Publication:668332
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DOI10.1016/j.amc.2015.06.050zbMath1410.65063OpenAlexW931311821MaRDI QIDQ668332

Ulrich Reif, Jan Hakenberg

Publication date: 19 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.050

zbMATH Keywords

volumearearefinable functionsubdivision curvesubdivision surface


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)


Related Items

Old problems and new challenges in subdivision, Efficient quadrature rules for subdivision surfaces in isogeometric analysis, Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains



Cites Work

  • \(C^1\)-continuity of the generalized four-point scheme
  • Analysis of quasi-uniform subdivision.
  • Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
  • A butterfly subdivision scheme for surface interpolation with tension control
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