Radially symmetric thin plate splines interpolating a circular contour map

Optic Flow Computation Using Interpolating Thin-Plate Splines

Optic flow computation is one of the most fundamental problems in the realm of visual motion. In this contribution, we present a novel optic flow computation method based on a thin-plate spline representation of image brightness data. Using a spline-based description of image brightness data removes the need for presmoothing and provides an algebraic means to compute the optic flow (explicitly)...

Thin-Plate Splines

2 The Calculus of Variations 2 2.1 Functionals of f and f ′ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Functionals of f , f ′, and f ′′ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Cubic Splines and Green’s Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.4 Euler-Lagrange Equations for Multi...

Thin plate regression splines

I discuss the production of low rank smoothers for d ≥ 1 dimensional data, which can be fitted by regression or penalized regression methods. The smoothers are constructed by a simple transformation and truncation of the basis that arises from the solution of the thinplate spline smoothing problem, and are optimal in the sense that the truncation is designed to result in the minimum possible pe...

Finite Element Thin Plate Splines

Fingerprint Mosaicing Using Thin Plate Splines

We discuss a fingerprint mosaicing scheme to construct a composite fingerprint image using multiple impressions of the same finger. The composite image is expected to contain more information (e.g., minutiae) compared to the individual impressions thereby improving matching accuracy. The novelty of the proposed algorithm lies in its ability to account for the elastic deformation present in cons...