Calculate a curve out of points and the curvature radius

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Jon Bilbao
Jon Bilbao 2023-4-13
回答： Jon Bilbao 2023-4-13
I have a curve with a variable curvature radius and i want to calculate a function tha defines that radius.
x and y are the coordinates of some points in the x an y axis, and with that ponts i want to calculate a curve fitting them with splines and the calculate de curvature radius of that curve.
I dont know why theres is an error in this function.
Does anyone know how to solve it?
Thanks
function [r] = rtrans2(x,y)
%UNTITLED3 Summary of this function goes here
% Detailed explanation goes here
s=csapi(x,y);
r=((diff(s,2)).^2)/(1+diff(s,1).^2);
end
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Jon Bilbao
Jon Bilbao 2023-4-13
编辑：Jon Bilbao 2023-4-13
The problem is solved thanks , with fnder the function worked, the function is the next:
function [r] = rtdef(x,y,Lc)
xi = 0:0.1:Lc;
pp = csapi(x, y);
yi = ppval(pp, xi);
yp = fnval(fnder(pp), xi);
ypp = fnval(fnder(pp,2), xi);
r = ((1 + yp.^2).^(3/2)) ./ abs(ypp);
end
Sam Chak
Sam Chak 2023-4-13
@Jon Bilbao, good to see that you've found the solution. I'd advise you to move your solution in the comment to the Answer section.

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采纳的回答

Jon Bilbao
Jon Bilbao 2023-4-13
Solved:
function [r] = rtdef(x,y,Lc)
xi = 0:0.1:Lc;
pp = csapi(x, y);
yi = ppval(pp, xi);
yp = fnval(fnder(pp), xi);
ypp = fnval(fnder(pp,2), xi);
r = ((1 + yp.^2).^(3/2)) ./ abs(ypp);
end

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