Below is a demonstration of the features of the kabschRotationMatrix function


clear; close all; clc;




This function uses the "Kabsch" algorithm to determine the rotation tensor to best rotate the coordinates V1 to V2.


Example 1: Determine the rotation between two coordinate sets

[F,V1] = parasaurolophus; % Example geometry for first coordinate set

Qt = euler2DCM([0.25*pi 0.25*pi 0.25*pi]) %Example true rotation

V2 = V1 * Qt'; %Create rotated second set
Qt =

    0.5000   -0.5000    0.7071
    0.8536    0.1464   -0.5000
    0.1464    0.8536    0.5000

Using the Kabsch algorithm to determine the rotation matrix

Q = kabschRotationMatrix(V1,V2) %Determine rotation between V1 and V2

V3 = V2 * Q;
Q =

    0.5000   -0.5000    0.7071
    0.8536    0.1464   -0.5000
    0.1464    0.8536    0.5000



axisGeom; camlight headlight;

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.

Copyright (C) 2006-2023 Kevin Mattheus Moerman and the GIBBON contributors

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