The space of $C^1$ cubic Clough-Tocher splines is a classical finite element approximation over triangulations for solving partial differential equations. However, such there no B-spline basis available, which preferred choice in computer aided geometric design and isogeometric analysis. A locally supported that forms convex partition unity. In this paper, we explore several alternative spline ...

Every curve or surface can be defined by a set of parametric functions. For instance, (x,y,z) coordinates of the points of the curve can be given by:) (), (), (t Z z t Y y t X x = = = t being the parameter and X, Y, Z being polynomial functions in t. If X, Y and Z are 1 st degree polynomials, a line segment will be defined. In that case, two knowns only (i.e. two points or a point and a slope) ...

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...

1 Summary The extraction of roof edges requires the reconstruction of the original signal from a lattice of sampled values of grey level (i.e. the sampled image). This is an ill-posed task and therefore, adequate constraints of regularization have to be incorporated. A scheme employing one-dimensional Regularized Cubic B-Spline (RCBS) tting has been used successfully on the task of step edge de...

Edge detection attempts to reconstruct 3-D physical edges from a 2-D image. It is therefore an ill-posed problem, and a regularization procedure is required to convert it into a well-posed problem. This procedure introduces a regularization parameter for adjusting the extent of the regularization eeect: the larger the value of is, the stronger the regularization eeect. Therefore, could be inter...

Achieving accurate interpolation is an important requirement for many signal-processing applications. While nearest-neighbor and linear interpolation methods are popular due to their native GPU support, they unfortunately result in severe undesirable artifacts. Better interpolation methods are known but lack a native GPU support. Yet, a particularly attractive one is prefiltered cubicspline int...

In the recent years, the high performance computing (HPC) environment has been improved. Thus, the volume dataset generated from HPC often resulted in the high resolution with respect to the spatial and temporal dimension. This situation requires a good visualization method, which can handle such a large-scale volume dataset. In this paper, we propose a volume reconstruction method that employs...

Data coding have emerged in different directions. Various real time applications focused towards the improvement of data codings for efficient and accurate usage of available resources. In such application where resources are constrained, data coding systems are facing the limitation of processing speed and accuracy. Applications where speed of computation for