Topographic maps that illustrate variations in the density of different neuronal sub-types across the retina are valuable tools for understanding the adaptive significance of retinal specialisations in different species of vertebrates. To date, such maps have been created from raw count data that have been subjected to only limited analysis (linear interpolation) and, in many cases, have been p...

This paper presents a novel minutiae matching method that describes elastic distortions in 4ngerprints by means of a thin-plate spline model, which is estimated using a local and a global matching stage. After registration of the 4ngerprints according to the estimated model, the number of matching minutiae can be counted using very tight matching thresholds. For deformed 4ngerprints, the algori...

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This paper presents a survey of past transformation functions for image registration and introduces a new transformation function for registration of images containing rigid as well as nonrigid regions. Included in the survey are similarity transformation, linear transformation, and nonlinear transformation. Nonlinear transformation itself includes thin-plate splines, radial basis functions, ap...

This paper presents a novel minutiae matching method that deals with elastic distortions by normalizing the shape of the test fingerprint with respect to the template. The method first determines possible matching minutiae pairs by means of comparing local neighborhoods of the minutiae. Next a thin-plate spline model is used to describe the non-linear distortions between the two sets of possibl...

The thin plate spline (TPS) is an effective 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. In practical applications, however, a surprisingly good a...

The segmentations by human, TPS method, and SPM method are given in Figure 3. The summary table for all the coefficients and indices is given in Table 1, which shows that the performance of TPS is similar to that of SPM by comparing against manual segmentation. Also, the TPS segmentations tend to have smaller variances than the SPM segmentations. The subpixel property of TPS method is shown in ...

We consider the problem of thin plate spline interpolation to n equally spaced points on a circle, where the number of data points is suuciently large for work of O(n 3) to be unacceptable. We develop an iterative multigrid-type method, each iteration comprising ngrid stages, and n being an integer multiple of 2 ngrid?1. We let the rst grid, V 1 , be the full set of data points, V say, and each...

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...