Results 121 to 130 of about 387,925 (133)
Local barycentric coordinates [PDF]
ACM Transactions on Graphics, 2014 manipulated control points are deformed, as indicated by the logarithmic color-coding of the displacement magnitude. Barycentric coordinates yield a powerful and yet simple paradigm to interpolate data values on polyhedral domains.
Kai Hormann +2 more
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Generalized Barycentric Coordinates on Irregular Polygons
Journal of Graphics Tools, 2002 In this paper we present an easy computation of a generalized form of barycentric coordinates for irregular, convex n-sided polygons. Triangular barycentric coordinates have had many classical applications in computer graphics, from texture mapping to ...
Mathieu Desbrun +2 more
exaly +1 more source
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ACM Transactions on Graphics, 2016
We present a full geometric parameterization of generalized barycentric coordinates on convex polytopes. We show that these continuous and non-negative coefficients ensuring linear precision can be efficiently and exactly computed through a power diagram of the polytope's vertices and the evaluation point.
Max Budninskiy +3 more
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We present a full geometric parameterization of generalized barycentric coordinates on convex polytopes. We show that these continuous and non-negative coefficients ensuring linear precision can be efficiently and exactly computed through a power diagram of the polytope's vertices and the evaluation point.
Max Budninskiy +3 more
openaire +2 more sources
Stochastic Computation of Barycentric Coordinates
ACM Transactions on GraphicsInternational audienceThis paper presents a practical and general approach for computing barycentric coordinates through stochastic sampling. Our key insight is a reformulation of the kernel integral defining barycentric coordinates into a weighted least-
Mathieu Desbrun, Fernando de Góes
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Comparison and affine combination of generalized barycentric coordinates for convex polygons
2017Summary: In this paper, we study and compare different types of generalized barycentric coordinates in detail, including Wachspress, discrete harmonic and mean value coordinates for convex, \(n\)-sided polygons. Contour lines are computed in each barycentric coordinate method, and curvature plots of these contour line curves are visualized.
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A general construction of spherical barycentric coordinates and applications
Journal of Computational and Applied Mathematics, 2023Aziz Ikemakhen
exaly
Non-negative spherical barycentric coordinates for non-convex geodesic polygons and applications
Computers & GraphicsAlaa Eddine Bensad, Aziz Ikemakhen
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The monotonicity of a family of barycentric coordinates for quadrilaterals
Computer Aided Geometric Design, 2017Chongyang Deng
exaly
The limit of a family of barycentric coordinates for quadrilaterals
Computer Aided Geometric Design, 2015Chongyang Deng
exaly