How to discretize non-uniformally a curve

Hello,

Let's assume I have the following curves (see smooth solid lines) and I want to discretize them. I know about the discretize function, but what I would want is to discretize them using variable steps (see lines in discretized pattern). I know the easiest way is to manually discretize them by putting all the points hard coded and generating the pattern, but my main question is if there is an automated way through which I could input the reference curve, the number of points and their respective durations and have the curves created automatically.

Many thanks.

Answer 1

[Star Strider]

One option is the stairs function —

x = linspace(0, 400,50);
y = [exp(x/100); sin(x/100)-x/400];

figure
plot(x, y)
grid

figure
stairs(x, y(1,:))
[xb{1}, yb{1}] = stairs(x, y(1,:));
hold on
stairs(x, y(2,:))
[xb{2}, yb{2}] = stairs(x, y(2,:));
hold off
grid

GetData= [xb{1}(1:10) yb{1}(1:10)]

GetData = 10×2

0 1.0000 8.1633 1.0000 8.1633 1.0851 16.3265 1.0851 16.3265 1.1773 24.4898 1.1773 24.4898 1.2775 32.6531 1.2775 32.6531 1.3862 40.8163 1.3862

Experiment to get different results.

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[Christos Patrinos]

Thank you for your answer @Star Strider; I think it is a good starting point!

[Star Strider]

As always, my pleasure!

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