Algorithmic Analysis and Comparative Evaluation of Conical Curve Construction Methods

Abstract

This article analyzes and compares conical curve creation methods using algorithms. The four methods investigated were linear interpolation, Bézier curve, geometric form approximation, and numerical differential equation solutions. Using mathematics, this research dissects these strategies to understand their underpinnings. Comparisons of accuracy, computing efficiency, and adaptability reveal each method's strengths and drawbacks. This article hopes to help practitioners and academics choose conical curve building techniques based on their construction applications.