Projected curve lengths (XY,XZ,YZ) of 3D arcs
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Hello All,
I have a set of 3D curves as shown in attached image which was was extracted from X-ray Micro-CT system. I know the 3D curve length of each arcs by voxels. Also, using regionprops3 command, I found the coordinates of end points of each curve.
I would like to know the projected curve length of each curve in all three different planes (x-y,x-z,y-z).
Appreciate your comments.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1024395/image.jpeg)
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Accepted Answer
Torsten
on 30 Jun 2022
Then just set the coordinate of the plane you project on to 0 and calculate the arc length of the resulting projected curve.
An approximation for an XY-projected curve is e.g.
sum_{i=1}^{i=n-1} sqrt((x(i+1)-x(i))^2 + (y(i+1)-y(i))^2)
if it is represented in 3d by the points
P1 = (x1,y1,z1), P2=(x2,y2,z2),..., Pn = (xn,yn,zn)
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