GB-spline curves can be considered as the generalization of B-spline curve incorporating a shape parameter into the polynomial basis functions. The geometric effect of the alteration of the shape parameter is discussed in this paper, including constrained shape control of the curve.

in the nighttime, drainage flow occurs along the basin sideslope and advects cold air to the boundary layer over the basin bottom (bbl), intensifying the cooling rate of the layer. a nocturnal cold air lake develops in the basin, attaining a depth nearly equal to the topographical depth of the basin. heat budget analysis of the whole basin surface shows that net radiative flux closely balances ...

the aim of this work is to find an efficient aerodynamic-based design algorithm for projectile fins and configuration shape optimization. three-dimensional supersonic flow over a projectile with fins at much number 5 and one degree angle of attack was studied. the runge-kutta method and multi-block technique was used to solve the governing equations. a basic configuration was assumed for the fi...

Many radial basis function (RBF) methods contain a free shape parameter that plays an important role for the accuracy of the method. In most papers the authors end up choosing this shape parameter by trial and error or some other ad hoc means. In this paper, we propose applying the genetic algorithm to determine a good shape parameter of radial basis functions for the solution of partial differ...

This article deals with the Bayesian inference of unknown parameters of the progressively censored Weibull distribution. It is well known that for a Weibull distribution, while computing the Bayes estimates, the continuous conjugate joint prior distribution of the shape and scale parameters does not exist. In this article it is assumed that the shape parameter has a log-concave prior density fu...

In this paper, we use Kansa method for solving the system of differential equations in the area of biology. One of the challenges in Kansa method is picking out an optimum value for Shape parameter in Radial basis function to achieve the best result of the method because there are not any available analytical approaches for obtaining optimum Shape parameter. For this reason, we design a genetic...

The generalised Radon transform is a well-known tool for detecting parameterised shapes in an image. Applying the Radon transform to an image results in a parameter response function (PRF). Curves in the image become peaks in the PRF. The location of a peak corresponds to the parameters of a shape, and the amplitude to the amount of evidence for that shape. In this paper we discuss two importan...

The shape of anatomic objects often depends in complex ways on the shapes and locations of neighboring objects. Shape parameter networks provide an approach for representing shape dependencies and producing multi-object models that share consistent boundary definitions. This paper provides an overview of the modeling framework provided by shape parameter networks, and demonstrates their use thr...