How to fit some curves to one curve in which only the maximum of curves are fitted?

Hello,

Actually I need to fit some curve to one curve in a way that the maximum of those curves are fitted to the main curve. Could you please help me with this problem?

[darova]

Can you please make a picture or script of what you want?

I don't understand

[Faezeh Manesh]

sure, I attached the picture.

[xi]

Based on the picture you draw, it looks like you just need to sum all the curves followed by smoothing (and possibly rescaling if needed). It is convolution rather than a curve fitting (The reserve process is de-convolution)

[Faezeh Manesh]

Thanks for your response.What are the possible functions for this task?

[Image Analyst]

What you drew does NOT match what you said. For example, in between the humps, the blue line is not the sum of the red curves, nor is it the max of any of the red curves. Plus. on the right hand side, your blue curve is well above any of the 3 red curves. Why is the blue curve so high there? What if you just say

y = y1 + y2 + y3;

Where the y are the three different red curves. Does that do what you want?

[Walter Roberson]

It looks to me as if the peaks are to be taken along with their location, and that then a curve is to be fitted to those locations. Except it doesn't look like a polynomial to me, and it is not obvious what the model curve would be.

[Image Analyst]

Convex hull?

Answer 1

[Matt J]

Generate the maximum of all your curves and use alphashape() to smooth over concavities in its envelope.