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...

The spline finite strip method (S.F.S.M.) for buckling analysis of plates and plate assemblies subjected to longitudinal compression and bending, transverse compression as well as shear is described. The method allows for the boundary conditions. Local buckling coefficients of plates with different boundary conditions under compression, bending and shear are calculated. Convergence studies with...

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)...

This paper presents an algorithm for the rapid evaluation of the vector spline in two dimensions. Our work is an extension of the fast evaluation of thin-plate spline by Beatson and Newsam. The algorithm is based on the fast multipole method and has an asymptotic CPU time estimate of O(N), while the direct calculation requires an amount of work of the order O(N 2), where N is the number of the ...

In many industrialized areas, the highest concentration of particulate matter, as a major concern on public health, is being felt worldwide problem. Since the air pollution assessment and its evaluation with considering spatial dispersion analysis because of various factors are complex, in this paper, GIS-based modeling approach was utilized to zoning PM2.5 dispersion over Tehran, du...

Image registration is inherently ill-posed, and lacks a unique solution. In the context of medical applications, it is desirable to avoid solutions that describe physically unsound deformations within the patient anatomy. Among the accepted methods of regularizing non-rigid image registration to provide solutions applicable to medical practice is the penalty of thin-plate bending energy. In thi...

In this paper, we develop a fast algorithm for a smoothing spline estimator in multivariate regression. To accomplish this, we employ general concepts associated with roughness penalty methods in conjunction with the theory of radial basis functions and reproducing kernel Hilbert spaces. It is shown that through the use of compactly supported radial basis functions it becomes possible to recove...