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find_center_of_rota​tion

version 1.0.0 (2.22 KB) by Dirk-Jan Kroon
For lists of corresponding x,y points this function calculates the center of rotation and angle which warps the first to the second

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Updated 23 Sep 2021

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For two lists of corresponding x,y points this function calculates
the center of rotation and rotation-angle, which warps the first list of x,y
points to the x,y points found in the second list.
[rot_point_xy,rot_angle] = find_center_of_rotation(xa,ya,xb,yb);
or
[rot_point_xy,rot_angle] = find_center_of_rotation(xa,ya,xb,yb, rot_angle_estimate)
Inputs
xa,ya : the first list of x,y coordinates
xb,yb : the second list of x,y coordinates, with each point
corresponding ot the point in the first list (but warped)
rot_angle_estimate : Estimate of the rotation angle between both list
of corresponding points
Outputs
rot_point_xy : The x and y position of the centre of rotation
rot_angle : The rotation angle which warps the points [xa,ya] to [xb,yb]
Method
Method is based on least squares optimization incombination of the
rotation point, and newton optimization of the rotation angle

Cite As

Dirk-Jan Kroon (2021). find_center_of_rotation (https://www.mathworks.com/matlabcentral/fileexchange/99719-find_center_of_rotation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2019a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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