A general geometric construction of coordinates in a convex simplicial polytope
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Publication:733406
DOI10.1016/j.cagd.2006.12.001zbMath1171.65337OpenAlexW2086278910MaRDI QIDQ733406
Tao Ju, Joe Warren, Peter Liepa
Publication date: 16 October 2009
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2006.12.001
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Unnamed Item
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- Interpolations for temperature distributions: a method for all non-concave polygons
- Barycentric coordinates for convex polytopes
- A unified, integral construction for coordinates over closed curves
- A rational finite element basis
- Surface interpolation based on new local coordinates.
- Improving continuity of Voronoi-based interpolation over Delaunay spheres
- Mean value coordinates
- Barycentric coordinates for convex sets
- A general construction of barycentric coordinates over convex polygons
- Mean value coordinates in 3D
- Computing Discrete Minimal Surfaces and Their Conjugates
- Shape functions for polygonal domains with interior nodes