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Using scattered data interpolation for radiosity reconstruction
Proceedings. Computer Graphics International (Cat. No.98EX149), 2002The authors present an analysis of the impacts of different interpolation methods on the reconstruction of the radiosity function across a patch. Two groups of methods are compared: one group based on regular grids and the other based on adaptive patch subdivisions.
A. Hinkenjann, G. Pietrek
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C 1 Monotone Scattered Data Interpolation
2010A local C1 surface construction scheme is presented to preserve the shape of the monotone scattered data arranged over the triangular grid. Each boundary curve of the triangle is constructed by the rational cubic function and this rational function is also used for the side-vertex interpolation.
Malik Zawwar Hussain, Maria Hussain
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Multilevel interpolation of scattered data using ${\mathcal{H}}$-matrices
Numerical Algorithms, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Borne, Sabine, Wende, Michael
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Interpolation of scattered data on closed surfaces
Computer Aided Geometric Design, 1990The aim of this work is to present techniques and algorithms for the construction and visualization of a function defined over a closed surface domain which depends on a discrete sample of measurements at arbitrary locations on the domain surface. The interpolating function is constructed by first finding a one-to-one correspondence between the closed ...
Foley, Thomas A. +4 more
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Convexity preserving scattered data interpolation using Powell–Sabin elements
Computer Aided Geometric Design, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carnicer, J. M. +2 more
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Generalized Strang?Fix condition for scattered data quasi-interpolation
Advances in Computational Mathematics, 2005In the approximation theory of shift-invariant spaces, the so-called Strang-Fix conditions are very important. They are conditions under which approximations (especially quasi-interpolation) can reproduce polynomials of certain total degree. In this article, quasi-interpolation is studied for an approximation with scattered data rather than equally ...
Wu, Zong Min, Liu, Jian Ping
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Stability results for scattered‐data interpolation on Euclidean spheres
Advances in Computational Mathematics, 1998Let \(S^m\) be the unit sphere in \(\mathbb{R}^{m+1}\). A spherical-basis function approximant is a linear combination of the values of a given mapping \(\varphi :[0, \pi ] \longrightarrow\mathbb{R}\), where the arguments are geodesic distances in \(S^m\).
Narcowich, F. J. +2 more
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Basis Functions for Scattered Data Quasi-Interpolation
2015Given scattered data of a smooth function in \({I\!R}^d\), we consider quasi-interpolation operators for approximating the function. In order to use these operators for the derivation of useful schemes for PDE solvers, we would like the quasi-interpolation operators to be of compact support and of high approximation power.
Nira Gruberger, David Levin
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