Geodesics on point clouds
This source preferred by Jian Jun Zhang
This data was imported from Scopus:
Authors: Yu, H., Zhang, J.J. and Jiao, Z.
Journal: Mathematical Problems in Engineering
We present a novel framework to compute geodesics on implicit surfaces and point clouds. Our framework consists of three parts, particle based approximate geodesics on implicit surfaces, Cartesian grid based approximate geodesics on point clouds, and geodesic correction. The first two parts can effectively generate approximate geodesics on implicit surfaces and point clouds, respectively. By introducing the geodesic curvature flow, the third part produces smooth and accurate geodesic solutions. Differing from most of the existing methods, our algorithms can converge to a given tolerance. The presented computational framework is suitable for arbitrary implicit hypersurfaces or point clouds with high genus or high curvature. © 2014 Hongchuan Yu et al.