<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The intersection of surfaces is a fundamental process in computational geometry and computer-aided design applications to build and interrogate complex shapes in the computer. This paper presents a novel and simple dual quaternion-based osculating circle DQOC algorithm to find the intersection curve of two regular surfaces based on the osculating circle concept and dual quaternions. Additionally, we expressed the natural equations of the intersection curve. We have also demonstrated the superiority of our method through numerical examples.</p>
</abstract>

The intersection of surfaces is a fundamental process in computational geometry and computer-aided design applications to build and interrogate complex shapes in the computer. This paper presents a novel and simple dual quaternion-based osculating circle DQOC algorithm to find the intersection curve of two regular surfaces based on the osculating circle concept and dual quaternions. Additionally, we expressed the natural equations of the intersection curve. We have also demonstrated the superiority of our method through numerical examples.

Dual quaternion-based osculating circle algorithm for finding intersection curves

Acta Universitatis Sapientiae, Informatica

This work is licensed under the Creative Commons Attribution 4.0 International License.

The intersection of surfaces is a fundamental process in computational geometry and computer-aided design applications to build and interrogate complex shapes...

Dual quaternion-based osculating circle algorithm for finding intersection curves

Published Online: Feb 02, 2022

Page range: 303 - 323

Received: Nov 03, 2021

Accepted: Nov 13, 2021

DOI: https://doi.org/10.2478/ausi-2021-0014

© 2021 Vahide Bulut, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.