Shape preserving positive surface data visualization by spline functions
Muhammad Abbas, Ahmad Abd. Majid, Mohd Nain, Hj Awang · 2012
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 positive surface. Moreover, rational bi-cubic function has six free parameters which are arranged in such a manner, two of them are constrained parameters to preserve the positivity of data and remaining four are left for user choice to reflne the positive surface as desired. The scheme under discussion is C 1 , simple, local, computationally economical and time saving as compared to existing schemes. Numerical examples are provided to demonstrate that the anticipated scheme is interactive and smooth.