International Journal of Analysis and Applications (Aug 2021)
New Numerical Solution for Two Parametric Surfaces Intersection Dragging Problem
Abstract
The problem of intersecting two parametric surfaces has been one of the main technical challenges in computer-aided design, computer graphics, solid modeling, and geometrics. This paper aims at reducing and minimizing time and space required for the computations process of parametric surface intersection. To do this, a new numerically accelerating method based on continuation technique was utilized first by calculating a starting point, and second by tracing sequential points along the intersection curve following Broyden’s method. Two factors have been identified as influential in controlling component jumping: initial points and step size. Test examples of intersecting two parametric surfaces demonstrated that this method was highly efficient with high-speed parametric solution. The intersection results are often given as curve’s points.