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...

In recent years, research efforts to extend linear metric learning models to handle nonlinear structures have attracted great interests. In this paper, we propose a novel nonlinear solution through the utilization of deformable geometric models to learn spatially varying metrics, and apply the strategy to boost the performance of both kNN and SVM classifiers. Thin-plate splines (TPS) are chosen...

Recognizing irregular text in natural images is a challenging task computer vision. The existing approaches still face difficulties recognizing because of its diverse shapes. In this paper, we propose simple yet powerful recognition framework based on an encoder-decoder architecture. proposed divided into four main modules. Firstly, the image transformation module, Thin Plate Spline (TPS) emplo...

Laser scanning via LiDAR is a powerful technique for collecting data necessary Digital Terrain Model (DTM) generation, even in densely forested areas. observations located at the ground level can be separated from initial point cloud and used as input generation of interpolation. This paper proposes quantitative analysis accuracy DTMs (and derived slope maps) obtained focused on conditions comm...

Asymptote is widely used in astronomy, mechanics, architecture and relevant subjects. In this paper, by analyzing the Frenet frame and the Darboux frame of a curve on the surface, the necessary and sufficient conditions for a quadrilateral boundary being asymptotic of a surface are derived. This quadrilateral is called asymptotic quadrilateral. Given corner data including positions, tangents an...

Use of mathematical interpolation in Digital Signal Processing applications often seems to be a remarkable solution when applied for noise reduction. In the last two decades advancement in the Elasticity imaging of tissue is worth mentioning. Two dimensional spline technique for generating Elastograms is fairly a new approach for generating ultrasonic Elastograms. In the way of analyzing imagin...

We propose an algorithm that integrates geometry parametrization and mesh movement using the control points of a B-spline mesh. An initial mesh is created using B-spline volumes in such a way that the control points mimic a coarse grid. The control points corresponding to the surface nodes are adopted as the design variables. Mesh movement is achieved by applying a standard movement algorithm t...

This article was supposed to be on `multivariate splines'. An informal survey, taken recently by asking various people in Approximation Theory what they consider to be a `multivariate spline', resulted in the answer that a multivariate spline is a possibly smooth, piecewise polynomial function of several arguments. In particular, the potentially very useful thin-plate spline was thought to belo...

Thin plate spline interpolation is a widely used approach to generate a digital elevation model (DEM) from contour lines and scattered data. In practice, contour maps are scanned and vectorized, and after resampling in the target grid resolution, interpolation is performed. In this paper we demonstrate the limited accuracy of this process, and propose a high resolution processing method (withou...

A new smoothing method is proposed which can be viewed as a finite element thin plate spline. This approach combines the favourable properties of finite element surface fitting with the ones of thin plate splines. The method is based on first order techniques similar to mixed finite element techniques for the biharmonic equation. The existence of a solution to our smoothing problem is demonstra...