In this paper, we develop a collocation method based on cubic B-spline to the solution of nonlinear parabolic equation εuxx = a(x, t)ut + φ(x, t, u, ux) subject to appropriate initial, and Dirichlet boundary conditions, where ε > 0 is a small constant. We developed a new two-level three-point scheme of order O(k + h). The convergence analysis of the method is proved. Numerical results are given...

Accurate delineation of the volumetric motion of Left-Ventricle (LV) of the heart from magnetic resonance imaging is an important area of research. We have built a system that takes tagged short-axis (SA) and long-axis (LA) image sequences as input, ts a 3D B-spline solid model to the LV of the heart by matching 3 sequences of solid knot planes to 3 sequences of tag planes, and volumetrically t...

in this paper, non-polynomial spline method for solving coupled burgers’ equations are presented. we take a new spline function. the stability analysis using von-neumann technique shows the scheme is unconditionally stable. to test accuracy the error norms2l, ∞l are computed and give two examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equatio...

We consider polynomial spline spaces S r d (4) of degree d and smoothness r deened on triangulations. It is known that for d 3r + 2, S r d (4) possesses a basis of star-supported splines, i.e., splines whose supports are at most the set of triangles surrounding a vertex. Here we extend the theory by showing that for all d 3r + 1, there exist triangulations for which no such bases exist. x1. Int...

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...

In this contribution, we introduce a multilevel approximation method with T-splines for fitting scattered point clouds iteratively, an application to land remote sensing. This new procedure provides local surface by explicit computation of the control points and is called (MTA). It computationally efficient compared traditional global least-squares (LS) approach, which may fail when there unfav...

This paper presents a new and effective method to construct manifold T-splines of complicated topology/geometry. The fundamental idea of our novel approach is the geometry-aware object segmentation, by which an arbitrarily complicated surface model can be decomposed into a group of disjoint components that comprise branches, handles, and base patches. Such a domain decomposition simplifies obje...