how to give the lines color based on the distanse

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.

Answer 1

[Image Analyst]

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.

[H-M]

Thanks for the great help. It works and pass the color through the lines. the question is about rescaling now

my r is changing from 0 to 1.5 mm.How can I use this range in rescaling?

Many thanks to you.

[Image Analyst]

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]

Thanks for GREAT explanation.

Answer 2

[Bruno Luong]

% 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