Minimal roughness property of the Delaunay triangulation
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Publication:751165
DOI10.1016/0167-8396(90)90011-FzbMath0714.65009OpenAlexW2085550119MaRDI QIDQ751165
Publication date: 1990
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-8396(90)90011-f
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)
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Cites Work
- Unnamed Item
- A storage-efficient method for construction of a Thiessen triangulation
- A faster divide-and-conquer algorithm for constructing Delaunay triangulations
- Transforming triangulations
- Delaunay-based representation of surfaces defined over arbitrarily shaped domains
- Data Dependent Triangulations for Piecewise Linear Interpolation
- Two algorithms for constructing a Delaunay triangulation
- Triangular Elements in the Finite Element Method