Results 1 to 10 of about 737 (123)
Local barycentric coordinates [PDF]
ACM Transactions on Graphics, 2014 Barycentric coordinates yield a powerful and yet simple paradigm to interpolate data values on polyhedral domains. They represent interior points of the domain as an affine combination of a set of control points, defining an interpolation scheme for any function defined on a set of control points.
Juyong Zhang, Bailin Deng, Zishun Liu
exaly +6 more sources
Variational Barycentric Coordinates
ACM Transactions on Graphics, 2023 We propose a variational technique to optimize for generalized barycentric coordinates that offers additional control compared to existing models. Prior work represents barycentric coordinates using meshes or closed-form formulae, in practice limiting the choice of objective function.
Ana Dodik +2 more
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Convergence of barycentric coordinates to barycentric kernels [PDF]
Computer Aided Geometric Design, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiří Kosinka, Michael Barton
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Barycentric coordinates for convex sets [PDF]
Advances in Computational Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joe Warren +2 more
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Barycentric coordinates for polytopes
Computers and Mathematics With Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Computation of Barycentric Coordinates
ACM Transactions on GraphicsThis 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-squares minimization that enables Monte Carlo integration without sacrificing linear precision.
Fernando de Góes, Mathieu Desbrun
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Efficient object location determination and error analysis based on barycentric coordinates [PDF]
Visual Computing for Industry, Biomedicine, and Art, 2020 Roland Kunkli
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Higher Order Barycentric Coordinates [PDF]
Computer Graphics Forum, 2008 AbstractIn recent years, a wide range of generalized barycentric coordinates has been suggested. However, all of them lack control over derivatives. We show how the notion of barycentric coordinates can be extended to specify derivatives at control points. This is also known as Hermite interpolation. We introduce a method to modify existing barycentric
Torsten Langer, Hans-Peter Seidel
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On Spherical Barycentric Coordinates
SSRN Electronic Journal, 2022 This paper describes a novel construction of generalized barycentric coordinates of points on a sphere with respect to the vertices of a given spherical polygon that is contained in a common hemisphere. While in the standard approach such coordinates are derived from their classical planar counterparts (e.g.
openaire +2 more sources
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source