Equally spaced points along a nonlinear path
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I have a path linear by parts that I need to equally divide with points. How do I do that?
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Manikanta Aditya
2024-5-26
Hi @Kacper
To equally divide a path that is linear by parts, you can follow these steps:
Calculate the total length of the path and determine the spacing between the points and place the points along the path.
Check the following code as a example for your understanding:
% Define the path as a list of points
path = [0, 0; 1, 1; 2, 0; 3, 1];
% Calculate the total length of the path
lengths = sqrt(sum(diff(path).^2, 2));
total_length = sum(lengths);
% Display the total length of the path
disp(['Total length of the path: ', num2str(total_length)])
% Number of divisions
num_divisions = 10;
% Calculate the spacing
spacing = total_length / num_divisions;
% Display the spacing
disp(['Spacing between points: ', num2str(spacing)])
% Place the points
points = [];
current_length = 0;
for i = 1:size(path, 1)-1
while current_length < lengths(i)
points = [points; path(i, :) + (path(i+1, :) - path(i, :)) * current_length / lengths(i)];
current_length = current_length + spacing;
end
end
points = [points; path(end, :)];
% Display the points
disp('Equally spaced points along the path:')
disp(points)
I hope this answers your question.
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John D'Errico
2024-5-27
编辑:John D'Errico
2024-5-27
Simpler yet, just download my interparc from the file exchange. It allows you to do the operation in a variety of ways, using several variations of spline interpolant, or assuming piecewise linear segments.
It does all the work for you, and it is free.
x = randn(6,1);
y = randn(6,1);
% 500 points, equally spaced along the curve in arclength
Pspline = interparc(500,x,y,'spline');
plot(x,y,'ro',Pspline(:,1),Pspline(:,2),'-')
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1704381/image.jpeg)
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