Optimization of Curvature and Torsion of the Curve Based on the Basic Vector of the Space Curve

Abstract

Based on the curve Γ:r=r(s) whose basic vector are α, β, γ and curvature and torsion are and τ respectively. Under two different condition which k and τ have different values. We studied calculation of Curvature k and torsion τ of curves Γ: ρ=r+aα+bβ by vector and αβ.