1Federal Research Ctr. of Biological Systems and Agro-technologies of the RAS (Russian Federation) 2Chelyabinsk State Univ. (Russian Federation) 3South Ural State Univ. (Russian Federation) 4Chelyabinsk State Univ (Russian Federation)
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The computation of geodesic paths and distances is a common task in many computer graphics applications, for instance obtaining 3D model measurements. Geodesic distance computation is usually performed by exact surface algorithms. However, surface reconstruction is a rather time-consuming process and does not always guarantee to get a good result in the case of missing data or cloud distortions. In this article, we propose a new fast approximate geodesic distance algorithm on the point cloud. Computer simulation results for the proposed algorithm in terms of accuracy and speed of computation are presented and discussed.
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Alexey Ruchay, Konstantin Dorofeev, "Fast approximate geodesic distance on point cloud," Proc. SPIE 11842, Applications of Digital Image Processing XLIV, 1184229 (1 August 2021); https://doi.org/10.1117/12.2593887