ABSTRACT

In geometric modeling and design for civil engineering and architectural drafting, it is compulsory tomake use of curve segments in surface and solid modeling. Nowadays, the curve modeling schemehas been based on mathematical representations of the BézierBernstein, B-Spline and NURB curves.In the recent years, such curves have gained enormous popularity because they are appropriate formodeling, and have quickly become the curves for a wide range of graphics applications. However,these curves are usually represented in terms of mathematical equations that consume much computationaltime. This is problematic for facilitating interactive CAD/CAM applications. In this research,we are particularly concerned with the Bézier curves. Compared to others, Bézier curves have beenused as the basic foundation of the curve representation for the longest time.