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Absolute orientation with the QUEST algorithm

Version 1.3.0.1 (3.76 KB) by Manolis Lourakis
Efficient Absolute Orientation Solver
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Updated Sat, 29 Sep 2018 15:21:02 +0000

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The function computes the orientation and translation for the transformation between
two corresponding 3D point sets pi and qi so that they are related by qi = R*pi + t.
It is based on Shuster's QUEST algorithm, a popular technique in astronautics for
estimating attitude, described in M.D. Shuster and S.D. Oh: "Three-Axis Attitude Determination from
Vector Observations", Journal of Guidance and Control, Vol. 4, No. 1, January–February 1981, pp. 70–77.
See http://www.malcolmdshuster.com/Pub_1981a_J_TRIAD-QUEST_scan.pdf
See also M. Lourakis and G. Terzakis: "Efficient Absolute Orientation Revisited", in Intl. Conf. on Intelligent Robots and Systems (IROS), 2018.

Additionally, I have a code for absolute orientation based on the FOAM algorithm:
https://www.mathworks.com/matlabcentral/fileexchange/63926

Cite As

Manolis Lourakis (2023). Absolute orientation with the QUEST algorithm (https://www.mathworks.com/matlabcentral/fileexchange/65173-absolute-orientation-with-the-quest-algorithm), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Inspired by: Absolute orientation with the FOAM algorithm

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QUEST

Version Published Release Notes
1.3.0.1

Updated description
1.3.0.0

Fixed bug with the computation of the mean residual error.
Added quaternion to rotation matrix conversion without normalization.
Added test for singular rotation (i.e. +/-pi rotation around an arbitrary axis).
1.2.0.0

Compute the max eigenvalue from the QUEST characteristic polynomial
instead of the FOAM one previously used. Note that the two are equivalent
for infinitely precise arithmetic
1.1.1.0

Description changes
1.1.0.0

Minor updates in the description
1.0.0.0