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...

We describe a new approach to modelling pearlescent paints based on decomposing paint layers into stacks of imaginary thin sublayers. The sublayers are chosen so thin that multiple scattering can be considered across different sublayers, while it can be neglected within each of the sublayers. Based on this assumption, an efficient recursive procedure of assembling the layers is developed, which...

In surgery one of the major problems is a safe approach of the operation site. For surgeons it is paramount to know the location of surgically relevant nerves and vessels. Especially in surgery of the lateral (outside) foot, the anatomy is not always completely clear since the location of nerves and vessels is highly variable. Therefore CASAM is developed by students in Delft and Rotterdam (Net...

• Deals with problem of corresponding open curves where endpoints are not defined (ie best correspondence would involve missing of end parts of some curves) • Uses thin-plate spline bending energy to measure quality of correspondence • Treats problem in pairwise manner • Initial landmarks can slide along boundary to minimise obj.fn. • Seems to fix one shape as template, clip a proportion off an...

The residual stresses of the thin-walled injection molding are investigated in this study. It was realized that the behavior of residual stresses in injection molding parts was affected by different process conditions such as melt temperature, mold temperature, packing pressure and filling time. The layer removal method was used to measure the residual stresses at a thin-walled test sample by a...

By coupling the flexibility of Thin-Plate Splines interpolation with Green’s integral formula, we obtain a meshless cubature method from scattered samples of small/moderate size, on convex as well as nonconvex and even multiply connected polygonal domains. 2000 AMS subject classification: 65D05, 65D32.

In this paper, we present an automatic face authentication system. Accurate segmentation of prominent facial features is accomplished by means of an extension of the Active Shape Model (ASM) approach, the so-called Active Shape Model with Invariant Optimal Features (IOF-ASM). Once the face has been segmented, a pose correction step is applied, so that frontal face images are synthesized. For th...