Collocation methods are popular in providing numerical approximations to complicated governing equations owing to their simplicity in implementation. However, point collocation methods have limitations regarding accuracy and have been modified upon with the application of B-spline approximations. The present study reports the stress and deformation behavior of shear deformable functionally grad...

In this paper, we contribute a new B-spline based interval field decomposition method as non-probabilistic approach that takes into account local effects in modelling. With basis functions, the formulation is highly intuitive and easy to construct. The computational efficiency outperforms traditional method. explicit expression of proposed facilitates use optimisation methods determining bounds...

It is proved that, among all nonnegative bases of its space, the B-spline basis is optimally stable for evaluating spline functions.

Image encryption is one of most useful way of securing image data. Traditional data security algorithms are also used over images but due to the bulkiness of image data they are not useful. Chaotic sequences play a very good role in image cryptographic system, due to their high sensitivity to initial condition and other properties. In this paper, B-spline functions of first three orders are stu...

The effect of knot modifications on the shape of B-spline and NURBS curves is discussed in this paper. Theoretical results include the description of the path of curve points, obtained by the modification of a knot value, and the examination of the one-parameter family of curves. It is shown that this family has an envelope which is a lower order B-spline or NURBS curve. Applying these results ...

This paper presents a new method for automatically generating a transition between two given B-spline curves or surfaces. Rather than treating the curves or surfaces as purely geometric objects, we distribute mass, damping, elasticity onto them. For elastic objects, morphing can be formulated as a boundary-valued problem of ordinary differential equations. By using Modal Analysis, the boundary-...

Three-dimensional curves are playing an increasing role in ship-hull modeling and many other areas of computer-aided design (CAD). The problem of evaluating and improving the fairness of such a curve is considered and three solutions (algorithms) are proposed representing all major methodologies currently pursued by CAD researchers: local fairing by knot removal, and local/global fairing based ...