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- Muhammad Abbas, Ahmad Abdul Majid, Jamaludin Md. Ali
- Applied Mathematics and Computation
- 2012

- Muhammad Abbas, Ahmad, Abd Majid, Mohd Nain Hj Awang, Jamaludin, Md Ali
- 2011

In this paper, a visualization of positive data is made in such a fashion where it presents a smooth, pleasant and eye catching view of the positive surface to viewer. An attempt has been made in order to extend a rational cubic function into a rational bi-cubic function for the preservation of positive data arranged over rectangular grid in the vision of… (More)

- Muhammad Abbas, Ahmad Abdul Majid, Ahmad Izani Bin Md. Ismail, Abdur Rashid
- Applied Mathematics and Computation
- 2014

In this paper, a collocation finite difference scheme based on new cubic trigonometric B-spline is developed and analyzed for the numerical solution of a one-dimensional hyperbolic equation (wave equation) with non-local conservation condition. The usual finite difference scheme is used to discretize the time derivative while a cubic trigonometric B-spline… (More)

- Muhammad Abbas, Ahmad Abd. Majid, Ahmad Izani Md. Ismail, Abdur Rashid
- PloS one
- 2014

In this paper, a numerical method for the solution of a strongly coupled reaction-diffusion system, with suitable initial and Neumann boundary conditions, by using cubic B-spline collocation scheme on a uniform grid is presented. The scheme is based on the usual finite difference scheme to discretize the time derivative while cubic B-spline is used as an… (More)

In this paper, an attempt has been made to construct a shape preserving rational bi-cubic interpolant (cubic/quadratic) with twelve free parameters to depict a more pleasant and smooth display of positive surface through positive data. Simple data dependent constraints are derived for four free parameters to preserve the positivity of data while the… (More)

- Muhammad Abbas, Ahmad Abdul Majid, Jamaludin Md. Ali
- Applied Mathematics and Computation
- 2014

This paper deals with the shape preserving interpolation problem for visualization of 3D positive data. A required display of 3D data looks smooth and pleasant. A rational bi-cubic function involving six shape parameters is presented for this objective which is an extension of piecewise rational function in the form of cubic/quadratic involving three shape… (More)

- Muhammad Abbas, Oscar Gustafsson, Håkan Johansson
- IEEE Trans. on Circuits and Systems
- 2013

- Muhammad Abbas, Ena Jamal
- 2011

Abstract Bezier is one of the influent polynomial and important tool for interpolation because it is easy to compute and is also very stable. In this paper, we develop very simpler constraints for Quadratic and Cubic Bezier curve which they ensure to constrained by a line. The end control points of the Quadratic and Cubic Bezier curve will be left on user… (More)

In this work, a method for estimation of the switching activity in integrators is presented. To achieve low power, it is always necessary to develop accurate and efficient methods to estimate the switching activity. The switching activities are then used to estimate the power consumption. In our work, the switching activity is first estimated for the… (More)

- Muhammad Abbas, Ahmad.Abd
- 2011

The main spotlight of this work is to visualize the monotone data to envision of very smooth and pleasant monotonicity preserving curves by using piecewise rational cubic function. The piecewise rational cubic function has three shape parameters in each interval. We derive a simpler constrains on shape parameters which assurance to preservation of the… (More)