find_center_of_rota​tion

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

Updated Thu, 23 Sep 2021 07:42:12 +0000

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 (2022). 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