Displaying similar documents to “Radial basis functions: basics, advanced topics and meshfree methods for transport problems.”

Fast evaluation of thin-plate splines on fine square grids

Petr Luner, Jan Flusser (2005)

Kybernetika

Similarity:

The paper deals with effective calculation of Thin-Plate Splines (TPS). We present a new modification of hierarchical approximation scheme. Unlike 2-D schemes published earlier, we propose an 1-D approximation. The new method yields lower computing complexity while it preserves the approximation accuracy.

Smooth contour line construction with spline interpolation.

Pere Brunet Crosa, Lluis Pérez Vidal (1984)

Qüestiió

Similarity:

Contour maps are frequently used to represent three-dimensional surfaces from geographical applications or experimental results. In this paper, two new algorithms for the generation and display of such contours are presented. The first of them uses local spline interpolation to obtain contour maps from data points in a rectangular mesh, whereas the other interpolates a set of irregular points through recursive subdivision of triangles. In both algorithms, precision of the contours can...

A particular smooth interpolation that generates splines

Segeth, Karel

Similarity:

There are two grounds the spline theory stems from – the algebraic one (where splines are understood as piecewise smooth functions satisfying some continuity conditions) and the variational one (where splines are obtained via minimization of some quadratic functionals with constraints). We use the general variational approach called 𝑠𝑚𝑜𝑜𝑡ℎ𝑖𝑛𝑡𝑒𝑟𝑝𝑜𝑙𝑎𝑡𝑖𝑜𝑛 introduced by Talmi and Gilat and show that it covers not only the cubic spline and its 2D and 3D analogues but also the well known tension spline (called...