Thin plate spline interpolation on an annulus

Illumination Estimation via Thin-Plate Spline Interpolation

Thin-plate spline interpolation is used to interpolate the chromaticity of the color of the incident scene illumination across a training set of images. Given the image of a scene under unknown illumination, the chromaticity of the scene illumination can be found from the interpolated function. The resulting illumination-estimation method can be used to provide color constancy under changing il...

Thin Plate Spline Interpolation on Large 2D Grids

In the early 1990s BCS was involved in some image processing and detection projects arising in both natural resource and defense settings. We were convinced that thin plate spline (TPS) functions could play an important role in developing effective software for image registration and change detection, but initially we encountered some computational challenges when using TPS functions on mid-siz...

Approximate Thin Plate Spline

Approximate Thin Plate Spline Mappings

The thin plate spline (TPS) is an e ective tool for modeling coordinate transformations that has been applied successfully in several computer vision applications. Unfortunately the solution requires the inversion of a p p matrix, where p is the number of points in the data set, thus making it impractical for large scale applications. As it turns out, a surprisingly good approximate solution is...

An improved order of approximation for thin-plate spline interpolation in the unit disc

We show that the Lp-norm of the error in thin-plate spline interpolation in the unit disc decays like O(h p), where p := minf2; 1 + 2=pg, under the assumptions that the function to be approximated is C1 and that the interpolation points contain the nite grid fhj : j 2Z; jhjj < 1 hg.