Results 31 to 40 of about 54 (48)
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Wachspress and Mean Value Coordinates
Springer Proceedings in Mathematics and Statistics, 2014This paper gives a brief survey of two kinds of generalized barycentric coordinates, Wachspress and mean value coordinates, and their applications. Applications include surface parameterization in geometric modeling, curve and surface deformation in computer graphics, and their use as nodal shape functions for polygonal and polyhedral finite element ...
Michael S Floater, Floater Michael S
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Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates
Lecture Notes in Computer Science, 2015In a recent paper with Gillette and Sukumar an upper bound was derived for the gradients of Wachspress barycentric coordinates in simple convex polyhedra. This bound provides a shape-regularity condition that guarantees the convergence of the associated polyhedral finite element method for second order elliptic problems.
Michael S Floater, Floater Michael S
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Upper bounds of higher-order derivatives for Wachspress coordinates on polytopes
IMA Journal of Numerical AnalysisAbstract The gradient bounds of generalized barycentric coordinates (GBCs) play an essential role in the $H^{1}$ norm error estimate of generalized barycentric interpolations (Gillette, Rand & Bajaj (2012) Error estimates for generalized barycentric interpolation. Adv. Comput. Math., 37, 417–439.).
Yanqiu Wang
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High-order Wachspress functions on convex polygons through computer algebra
Journal of Computational Physics, 2022Romain Le Tellier
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Discretizing Wachspress kernels is safe
Computer Aided Geometric Design, 2017Kai Hormann, Jiří Kosinka
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On the injectivity of Wachspress and mean value mappings between convex polygons
Advances in Computational Mathematics, 2008Jiří Kosinka +2 more
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On C1-continuity of Wachspress quadrilateral patches
Computer Aided Geometric Design, 2002Aparajita Ojha
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