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In this paper, we deal with the problem of computing the distance to a surface (a curve in two dimensional) and consider several distance function approximation methods which are based on solving partial differential equations (PDEs) and finding solutions to variational problems. In particular, we deal with distance function estimation methods related to the Poisson‐like equations and generalized...
Among various barycentric coordinates and their extensions, the linear and cubic (Hermite) Gordon–Wixom transfinite interpolation schemes deliver the most accurate approximations of the harmonic and biharmonic functions, respectively. However interpolation properties of the original Gordon–Wixom interpolations are studied for convex domains only and, therefore, their current practical importance is...
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