Mean value coordinates for arbitrary planar polygons

300 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Extended finite element method on polygonal and quadtree meshes (2008, methodology): “Hormann and Floater [15] have presented the important properties of mean value coordinates along with an implementation for planar polygons.”
New perspectives on polygonal and polyhedral finite element methods (2014, background): “To this end, on letting ra = x − xa (ra = ||ra||), we can write [71, 51]”
Barycentric rational interpolation with no poles and high rates of approximation (2007, methodology): “As well as offering an alternative way of interpolating univariate data, we hope that these interpolants might also lead to generalizations of the bivariate interpolants of [15].”
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks (2021, background): “Hormann and Floater [81] showed that 10”
The Bernstein polynomial basis: A centennial retrospective (2012, background): “They can also be generalized to non–convex polygons [112] although the non–negativity property is then relinquished.”