Averaging data on the unit hypersphere

Author:

Crnkić Aladin,Kapić Zinaid,Jusić Šejla,Haurdić Melisa

Abstract

Abstract Averaging data on the unit sphere S d (also called a unit hypersphere) is a common problem in computer vision, robotics and other fields, with applications ranging from motion planning to DNA modelling. In this paper, we introduce a new method for averaging data represented as points on the unit sphere S d−1 using the d-dimensional generalized Kuramoto model. Our method is verified on a range of benchmark data sets and compared with common data averaging algorithms. Also, we showcase the applicability of this method for solving rotation averaging problem.

Publisher

IOP Publishing

Subject

Industrial and Manufacturing Engineering

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