This work considers tracking of deforming soft tissues in sequences of three-dimensional ultrasound images. The chosen approach to the tracking is basedon modeling the deformations using the thin-plate spline warp. In practice, thetracking is reduced to the estimation of the changes in control point locations byexamining the intensity changes of neighbouring three-dimensional im...

This paper is devoted to the buckling analysis of thin composite plates under straight single-walled carbon nanotubes reinforcement with uniform distribution and random orientations. In order to develop the fundamental equations, the B3-Spline finite strip method along with the classical plate theory (CPT) is employed and the total potential energy is minimized which leads to an eigenvalue prob...

One conventional tool for interpolating surfaces over scattered data, the thin-plate spline, has an elegant algebra expressing the dependence of the physical bending energy of a thin metal plate on point constraints. For interpolation of a surface over a fixed set of nodes in the plane, the bending energy is a quadrat ic form in the heights assigned to the surface. The spline is the superpositi...

This paper provides a comparison of spline-based registration methods applied to register interventional Trans Rectal Ultrasound (TRUS) and pre-acquired Magnetic Resonance (MR) prostate images for needle guided prostate biopsy. B-splines and Thin-plate Splines (TPS) are the most prevalent spline-based approaches to achieve deformable registration. Pertaining to the strategic selection of corres...

This thesis is a theorical and numerical contribution to wavelet transform in image processing and surface computing. Group theory approach, multiresolution approach and lters banc approach of wavelets basis are reviewed. The wavelet transform applications concern image compression, discrete curve representation and surface approximation by radial functions. We begin by reviewing di erent image...

A major task in data mining is to develop automatic techniques to process and to detect patterns in very large data sets. Multivariate regression techniques form the core of many data mining applications. A common assumption is that the multivariate data is well approximated by an additive model involving only first and second order interaction terms. In this case high-dimensional nonparametric...

Amajor task in data mining is to develop automatic techniques to process and to detect patterns in very large data sets. An important data mining technique is multivariate regression, and an essential sub task is the estimation of interaction surfaces, i.e. the estimation of functions of two variables. Thin plate splines provide a very good method to determine an approximating surface. Obtainin...

The role of the cranial base in the emergence of Class III malocclusion is not fully understood. This study determines deformations that contribute to a Class III cranial base morphology, employing thin-plate spline analysis on lateral cephalographs. A total of 73 children of European-American descent aged between 5 and 11 years of age with Class III malocclusion were compared with an equivalen...