Abstract
A C1 piecewise rational trigonometric cubic function with four shape parameters has been constructed to address the problem of visualizing positive data. Simple data‐dependent constraints on shape parameters are derived to preserve positivity and assure smoothness. The method is then extended to positive surface data by rational trigonometric bicubic function. The order of approximation of developed interpolant is .
Highlights
Data visualization is the mechanism to communicate information by means of graphs, images, diagrams, and animations
The positive data visualization of both curve and surface data is addressed by a rational trigonometric cubic function
The work in this paper is set up in such a way that Section 2 elucidates the construction of the C1 rational trigonometric cubic function to be used in curve scheme
Summary
Data visualization is the mechanism to communicate information by means of graphs, images, diagrams, and animations. The positive data visualization of both curve and surface data is addressed by a rational trigonometric cubic function. Goodman et al 3 constructed nonplanar shape preserving interpolating curve scheme They obtained a curve through an optimization process involving some fairness criteria, in order to achieve curve by G2 piecewise rational cubic function. Hussain and Sarfraz 9 developed a piecewise rational cubic function with four families of parameters to preserve the shape of positive data. The work in this paper is set up in such a way that Section 2 elucidates the construction of the C1 rational trigonometric cubic function to be used in curve scheme.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
