Capability to manage the performance of a shared resources environment relies on the model estimation of all dynamics in the system. The main challenge is to capture the nonlinear characteristic which inherently exists in software system applications. Hammerstein-Wiener block structural model is widely regarded as a basis for description of nonlinear systems. This paper extends the existing wor...

We construct a suitable B-spline representation for a family of bivariate spline functions with smoothness r ≥ 1 and polynomial degree 3r − 1. They are defined on a triangulation with PowellSabin refinement. The basis functions have a local support, they are nonnegative and they form a partition of unity. The construction involves the determination of triangles that must contain a specific set ...

In this paper, under the framework of Extended Chebyshev space, four new generalized quasi cubic trigonometric Bernstein basis functions with two shape α(t) and β(t) are constructed in a space span{1,sin2t,(1−sint)2α(t),(1−cost)2β(t)}, which includes lots previous work as special cases. Sufficient conditions concerning to guarantee construction given, three specific examples related application...

Mathematical concepts of multivariate parametric solids, their description by a B-spline basis functions are discussed. Parametric solids can model both the shape and unisotropic interior. Three types of parametric solids i.e. Coons body 0, 1 and 2 are used to demonstrate the interior modelling often used as initial or boundary conditions in numerical simulation. Multiple parametric solids elem...

In this article a numerical technique is presented for the solution of Fokker-–Planck equation. This method uses the cubic B-spline scaling functions. The method consists of expanding the required approximate solution as the elements of cubic B-spline scaling function. Using the operational matrix of derivative, the problem will be reduced to a set of algebraic equations. Some numerical example...

We present the construction of a suitable normalized B-spline representation for reduced Clough-Tocher splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. Geometrically, the problem can be interpreted as the determination of a set of triangles that must contain a specific set of points. This leads to a natural definition of tangent contro...

Deformable models are used to recognize handwritten characters which have a great variety of handwriting styles. The overall character shape is modeled by a B-spline and individual pixels are modeled by Gaussian functions. Model parameters associated with the spline and the Gaussian functions, together with their relative strength, are estimated using Bayesian inference. Under such a Bayesian f...

The goal of this paper is to justify the use of fractional B-spline bases in several Wavelet Analysis Techniques. We are interested in better controlling the differentiation behavior of the wavelet. For that purpose, we propose an edge detector algorithm by using the wavelet transform local maxima, based on B-spline functions. Another task is to search the connection available between energetic...