Research Communication | Open Access
Volume 2021 | Communication ID 117
Volume 2021 | Communication ID 117
| Approximation of the geodesic curvature and applications for spherical geometric subdivision |
Mohamed Bellaihou
Received |
Accepted |
Published |
January 28, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: Many applications of geometry modeling and computer graphics necessite accurate curvature estimations of curves on the plane or on manifolds. In this paper, we define the notion of the discrete geodesic curvature of a geodesic polygon on a smooth surface. We show that, when a geodesic polygon P is closely inscribed on a C^2-regular curve, the discrete geodesic curvature of P estimates the geodesic curvature of C. This result allows us to evaluate the geodesic curvature of discrete curves on surfaces. In particular, we apply such result to planar and spherical 4-point angle-based ...