Minimize distance between curves
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Deepa Maheshvare
on 4 Jul 2022
Commented: Deepa Maheshvare
on 7 Jul 2022
I have a dataset with values of multiple curves. An example plot is shown below. I want to scale the curves so that all curves overlap or get closer to the target curve. The following is the plot of a sample dataset
I want to scale the function values in the curves so that all curves overlap. Say, green curve is the target (g) and I want to move the other curves (f) towards target curve by scaling (scale facotor is a).
The function that I want to minimize is:
Expected result:
Data:
data = {{{157, 60}, {140, 57}, {121, 52}, {103, 47}, {86, 39}, {67, 28}, {50,21}, {32, 15}}, {{159, 70}, {140, 67}, {122, 63}, {105, 58}, {85, 45}, {68, 42}, {50, 34}, {33, 29}}, {{157, 74}, {140, 71}, {121, 70}, {105, 65}, {86, 55}, {69, 52}, {52, 43}, {32, 37}}, {{158, 100}, {141, 100}, {123, 95}, {105, 90}, {88, 78}, {69, 72}, {51, 57}, {33, 46}}, {{160, 143}, {140, 146}, {123, 146}, {105, 145}, {86, 136}, {70, 121}, {51, 97}, {34, 60}}}
Could someone please help me with the function that has to be used for solving this problem in MATLAB ?
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