Given three regular space curves r1(t), r2(t) r3(t), t ∈ [ 0, 1 ] that define a curvilinear triangle, we consider the problem of constructing a C triangular surface patch R(u1, u2, u3) bounded by these three curves, such that they are geodesics of the constructed surface. Results from a prior study [6] concerned with tensor–product patches are adapted to identify constraints on the given curves...

Matching 2-D gel electrophoresis images is the first and a major step in bioinformatics study of protein. This paper presents an improved implementation of a thin-plate spline image registration. The effectiveness of the algorithm is demonstrated on matching 2-D gel protein separation profiles.

In this study we consider the performance of different feature detectors used as the basis for the registration of images from two-dimensional gel electrophoresis. These are three spot detectors also used to identify proteins, and two domain independent keypoint detectors. We conduct a case study with images from a publically available data set which are synthetically distorted using thin plate...

We present an approach to elastic registration of tomographic brain images which is based on thin plate splines and takes into account landmark errors The inclusion of error information is important in clin ical applications since landmark extraction is always prone to error In comparison to previous work our approach can cope with anisotropic er rors which is signi cantly more realistic than d...

The structural and magnetic properties of Pr-alloyed MnBi (short MnBi-Pr) nanostructures with a range of Pr concentrations are investigated. The nanostructures include thin films having Pr concentrations 0, 2, 3, 5, and 9 at.% and melt-spun ribbons having Pr concentrations 0%, 2%, 4%, and 6%, respectively. Addition of Pr into the MnBi lattice has produced a significant change in the magnetic pr...

We consider elastic registration of medical image data based on thin plate splines using a set of corresponding anatomical point land marks Previous work on this topic has concentrated on using interpola tion schemes Such schemes force the corresponding landmarks to exactly match each other and assume that the landmark positions are known exactly However in real applications the localization of...

This article has described the process for tooth alignment using 3D thin plate spline. First step is to simulate the individual tooth and its landmarks and fit it into the dental cast by geometric transformation of individual tooth. Next step is to align the simulated teeth into proper arch form. After that, record pairs the landmarks of simulated teeth before and after tooth alignment. The fin...

population aged > 50 years have renal cysts [5]. Most cysts are benign and asymptomatic. A palpable mass, pain from haemorrhage into the cyst, obstructive symptoms and infections are rare presentations. A simple cyst is a fluid-filled, non-neoplastic lesion; most are unilocular, contain straw-coloured fluid, arise from the cortex and are smooth-walled. On CT they are sharply marginated, round, ...

Thin plate splines are highly useful for the approximation of functions of two variables, partly because they provide the interpolant to scattered function values that minimizes a 2-norm of second derivatives. On the other hand, they have the severe disadvantage that the explicit calculation of a thin plate spline approximation requires a log function to be evaluated m times, where m is the num...