Contents Online
Geometry, Imaging and Computing
Volume 3 (2016)
Number 3-4
A new approach towards transversal intersection curves of two surfaces in $\mathbb{R}^3$
Pages: 81 – 99
DOI: https://dx.doi.org/10.4310/GIC.2016.v3.n3.a2
Authors
Abstract
In this paper, we formulate new algorithms to obtain the differential geometric properties of surface-surface intersection curves in $\mathbb{R}^3$. We also show its applicability to obtain geodesic curvature and geodesic torsion of two regular implicit surfaces in $\mathbb{R}^3$. Our new method will be distinguished from the older ones in the sense that we will use Rodrigues’ rotation formula and using a new operator $T$.
Received 31 December 2016
Published 19 April 2018