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Image warping with scattered data interpolation
IEEE Computer Graphics and Applications, 1995Discusses a new approach to image warping based on scattered data interpolation methods which provides smooth deformations with easily controllable behavior. A new, efficient deformation algorithm underlies the method. >
D. Ruprecht, H. Muller
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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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Local multilevel scattered data interpolation
Engineering Analysis with Boundary Elements, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Scattered data interpolation with multilevel B-splines
IEEE Transactions on Visualization and Computer Graphics, 1997The paper describes a fast algorithm for scattered data interpolation and approximation. Multilevel B-splines are introduced to compute a C/sup 2/ continuous surface through a set of irregularly spaced points. The algorithm makes use of a coarse to fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions whose sum ...
Lee, S +2 more
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