Publication
Solution methods to the nearest rotation matrix problem in R3: A comparative survey
Journal Article (2023)
Authors
Projects associated
Abstract
Nowadays, the Singular Value Decomposition (SVD) is the standard method of choice for solving the nearest rotation matrix problem. Nevertheless, many other methods are available in the literature for the 3D case. This paper reviews the most representative ones, proposes alternative ones, and presents a comparative analysis to elucidate their relative computational costs and error performances. This analysis leads to the conclusion that some algebraic closed-form methods are as robust as the SVD, but significantly faster and more accurate.
Categories
optimisation.
Author keywords
Rotation matrices, quaternions, singular value decomposition
Scientific reference
S. Sarabandi and F. Thomas. Solution methods to the nearest rotation matrix problem in R3: A comparative survey. Numerical Linear Algebra with Applications, 2023, to appear.
Follow us!