International Journal of Analysis and Applications (Aug 2021)

New Numerical Solution for Two Parametric Surfaces Intersection Dragging Problem

  • Ramadhan A. M. Alsaidi

Journal volume & issue
Vol. 19, no. 5
pp. 773 – 783

Abstract

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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.