We suggest a method of fitting of the zero-range model of the tectonic plate under the boundary stress based on comparison of the theoretical formulae for the corresponding eigenfunctions/eigenvalues with the results of instrumental measurements of frequency and the shape and the shape of the relevant seismo-gravitational modes in the remoted zone. Comparison of the data of the instrumental mea...

Vector field approximation is a problem involving the reconstruction of physical fields from a set of scattered observed data. In this paper, we address the problem of interpolation of divergence-free vector fields in three dimensional space by thin plate spline under tension. The problem is formulated as a minimization problem where the cost is related to the equilibrium energy of thin plate w...

Image registration (IR) aims to geometrically match one image to another. It is extensivelyused in many imaging applications. Among many existing IR methods, one widely used group ofmethods are feature-based. By a feature-based method, a number of relevant image features arefirst extracted from the two images, respectively, and then a geometric matching transformationis found to...

Splines can be used to approximate noisy data with a few control points. This paper presents a new curve matching method for deformable shapes using two-dimensional splines. In contrast to the residual error criterion [7], which is based on relative locations of corresponding knot points such that is reliable primarily for dense point sets, we use deformation energy of thin-plate-spline mapping...

Our aim is to establish accurate correspondences between temporal mammograms in order to improve the detection of tumours. We propose a method for detecting abnormalities after aligning a pair of mammograms using thin-plate spline interpolation based on corresponding points on the breast boundary. We also suggest a method for the automatic detection of landmarks within the breast tissue. We sho...

Moving object completion is a process of completing moving object’s missing information based on local structures. Over the past few years, a number of computable algorithms of video completion have been developed, however most of these algorithms are based on the pixel domain. Little theoretical and computational work in video completion is based on the compressed domain. In this paper, a movi...

Within the scope of three-dimensional brain imaging we propose an inter-individual fusion scheme to register functional activations relatively to anatomical cortical structures, the sulci. This approach is local and non-linear. It relies on a statistical sulci shape model accounting for the inter-individual variability of a population of subjects, and providing deformation modes relatively to a...

There is a well-known Bayesian interpretation for function estimation by spline smoothing using a limit of proper normal priors. The limiting prior and the conditional and intrinsic autoregressive priors popular for spatial modelling have a common form, which we call partially informative normal. We derive necessary and sufficient conditions for the propriety of the posterior for this class of ...

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...