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Rational Hermite interpolation on six-tuples and scattered data
Applied Mathematics and Computation, 2020The main objective of this paper is to construct an approximant, with cubic precision and quartic approximation order, which interpolates functional values and first order derivatives on a set of scattered data.
F. Dell’Accio +3 more
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Interpolation of Large and Noisy Scatter Data
2021 12th International Symposium on Advanced Topics in Electrical Engineering (ATEE), 2021One often deals with a large number of measurements of natural phenomena in environmental sciences. These data can be frequently irregularly distributed and affected by different type of errors. The problem of interest is to recover the variable field with certain regular properties and a reasonable computational effort.
Stelian Ion +3 more
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Thinning algorithms for scattered data interpolation
BIT Numerical Mathematics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Floater, Michael S., Iske, Armin
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C 1 C2 interpolation of scattered data points
Applied Mathematics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Jiaye, Zhang, Caiming
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Positivity-Preserving Scattered Data Interpolation
2005The construction of a C1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising cubic Bezier triangular patches are always positive.
Abd. Rahni Mt. Piah +2 more
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A C1 triangular interpolant suitable for scattered data interpolation
Communications in Applied Numerical Methods, 1991AbstractWe present here a method of constructing a triangle interpolant which interpolates position and partial derivatives specified at the three vertices of the triangle. The method employs the cubic Bézier triangular patch technique. The data given enable us to determine the appropriate Bézier control points so that adjacent patches meet with C1 ...
Goodman, T. N. T., Said, H. B.
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Local normal estimation for scattered data interpolation
AIP Conference Proceedings, 2013A composite surface interpolation to triangulated 3D data is considered. A surface patch is created over each triangle of the data mesh by using the point-normal interpolation technique. A method of normal vector estimation is presented to specify the unit surface normal vectors at the data points.
Si Ping, Kong Voon Pang
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Local derivative estimation for scattered data interpolation
Applied Mathematics and Computation, 1995The authors study a method of derivative estimation by using a convex combination of all derivatives on related triangular planes. Some numerical results are given. This method requires less computation and produces accuracy to the existing least squares minimization method.
Goodman, T. N. T. +2 more
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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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