Designing a Novel Algorithm for Drawing a Kappa Curve Using Bresenham’s Approach

Bresenham’s approach is a classical approach for developing different algorithms. It has already been applied to draw curves like lines, circles, ellipses, parabolas, and hyperbolas. Traditionally, the Kappa curve- Cartesian, parametric, and polar equations draw a mathematical curve. All these three approaches are plagued with some inherent problems. For instance, we can’t isolate y from its Cartesian equation if we want to draw it on the display by using the Cartesian equation. Further, both the parametric and polar equations of the Kappa curve contain trigonometric functions which are time-consuming and, of course, run counter to the spirit of interactivity. The figure drawn through these approaches contains inter-pixel spacing. Our proposed algorithm using Bresenham’s approach will avoid this spacing and hence the quality of the curve will improve.