Using Advanced Mathematical Method to find Normal Curvature of the Curve on Regular Surfaces

Abstract

Curvature, being a crucial geometric parameter in many applications of surface analysis, is the amount of deviation of curve from a straight line or plane. This study's objective is to use Matlab to objectively calculate Normal Curvature on Smooth Surfaces. The following article concerns curvature and normal curvature with the focus on two uses: first for the manufacturing of automobile tire’s inner tubes, and second one to identify the ideal choice degree of normal curvature. The aim of the study is finding the normal curvature numerically and using Matlab, which can carry out complex computational tasks with general commands and is relatively more precise and swifter than the standard numerical calculations.