how to give the lines color based on the distanse

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H-M
H-M el 16 de Jul. de 2020
Comentada: H-M el 18 de Jul. de 2020
My plot below shows the oscillatory displacement of particles vs time in a pipe. Each line coreponds to each particle. Particles are released in different position from the center of pipe along the radius. How can I show each line in this plot in a different color?(My goal is the line's color changes with the distance from the center of pipe(r)).
r=sqrt(Xp^2+Yp^2): position of each particle in rdaial direction.Xp and Yp are the particle position in cartesian.

Respuesta aceptada

Image Analyst
Image Analyst el 16 de Jul. de 2020
Try this (untested)
cmap = jet(length(Xp));
r = sqrt(Xp .^ 2 + Yp .^ 2);
r = round(rescale(r, 1, length(Xp)));
for k = 1 : length(Xp)
thisColor = cmap(r(k), :);
plot(Xp(k), Yp(k), '.', 'Color', thisColor, 'MarkerSize', 4)
end
It will plot dots so make sure you have enough points to make the dots be adjacent and look like a line. You can adjust the MarkerSize if you need to.
  3 comentarios
Image Analyst
Image Analyst el 18 de Jul. de 2020
I don't really care what the range of r is. Whatever it is, we need to scale it to the number of rows in the colormap to make it easy to pick a color for that radius. So if you have 1000 dots, and you have a r that's half way out to the max r (be it 0.75 or whatever, we don't care), then the color will be the color at half of the 1000 rows, or the color at row 500, whatever that color may be.
H-M
H-M el 18 de Jul. de 2020
Thanks for GREAT explanation.

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Bruno Luong
Bruno Luong el 18 de Jul. de 2020
Editada: Bruno Luong el 18 de Jul. de 2020
% Generate 20 functions
x=linspace(0,2*pi,200)';
A=linspace(0.2,1,20);
y=A.*(sin(x).*exp(-x/2));
r=sqrt((x-pi).^2+(y).^2);% encoding color as circle centered at (pi,0)
% Function from https://www.mathworks.com/matlabcentral/fileexchange/60402-plotcolor
plot_color(x,y,r,...
jet,[0 3]) % <- colormap and range
Result

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