How do I calculate the area of ​​the graph area below the baseline? (matrix plot)

Hello

I am a beginner who just started using Matlab.

I'm looking for a way to calculate the area below the baseline in a plot like the following.

I found several ways, but it is not a continuous function, so I am not sure how to solve it, so I am leaving my question here.

The plot was drawn with the following data.

X=[0 3.343500262 4.294170234 5.636154451 7.48743621 9.469759289 10.41901651 12.15558769 12.89110736 14.77076471 16.68885991 18.26626223 18.97234208 19.58596993 20.22027814 20.94334446 21.63233231 22.00504135 23.22534155 24.21344918 25.48740811 27.35688815 30.78198827

]

Y=[216.446 216.581 216.128 216.245 215.729 214.654 214.457 213.028 212.781 212.765 212.698 212.627 212.575 212.544 212.497 212.45 212.595 212.811 213.995 214.146 214.333 216.285 216.269

]

Baseline = [212.45:0.01:216.581]

Is there a way to calculate it?

Answer 1

[Torsten]

Your X-vector has two elements more than your Y-vector. After you have corrected this, you could use

idx = find(Y<=214.5);
value = trapz(X(idx),214.5-Y(idx))

[Dyuman Joshi]

OP's baseline variable does not correspond to a straight line.

I'd say it's not exactly clear what OP wants to do.

Edit - I believe OP wants to get the area for every value of baseline.

[Kyeongdong]

Sorry for the unclear explanation.

X, Y are as follows:

X=[0 3.343500262 4.294170234 5.636154451 7.48743621 9.469759289 10.41901651 12.15558769 12.89110736 14.77076471 16.68885991 18.26626223 18.97234208 19.58596993 20.22027814 20.94334446 21.63233231 22.00504135 23.22534155 24.21344918 25.48740811 27.35688815 30.78198827

]

Y=[216.446 216.581 216.128 216.245 215.729 214.654 214.457 213.028 212.781 212.765 212.698 212.627 212.575 212.544 212.497 212.45 212.595 212.811 213.995 214.146 214.333 216.285 216.269

]

What I want

When plot(X,Y), I want to find the area under an arbitrary baseline.

[Torsten]

What does the area under the baseline has to do with the plot command ?

To use an arbitrary baseline, replace the value 214.5 in the two lines of code by the y-value of the baseline in question. Or is the baseline not necessarily parallel to the X-axis ?

[Kyeongdong]

Thank you for reply

Yes, baseline is a line parallel to the X-axis.

The plot command was written simply to see the X and Y data visually. Exactly, I wanted to calculate the area between the baseline and the plot.