Analogous to the cubic Bézier curve, a quartic trigonometric Bézier curve with a shape parameter is presented in this paper. Each curve segment is generated by four consecutive control points. The shape of the curve can be adjusted by altering the values of shape parameters while the control polygon is kept unchanged. These curves are closer to the control polygon than the cubic Bézier curves, ...

Level set methods are effective for image segmentation problems. However, the methods suffer from limitations such as slow convergence and leaking problems. As such, over the past two decades, the original level set method has been evolved in many directions, including integration of prior shape models into the segmentation framework. In this paper, we introduce a new prior shape model for leve...

In this paper, a new radial basis function (RBF) approach is developed for solving European option pricing model. Without any simplifications, a simple discretization pattern directly leads to a system Ax = b, moreover, employing a new variable shape parameter (VSP) strategy named binary shape parameter (BSP) strategy leads to more accurat results rather than constant shape parameter (CSP) stra...