# finding the slope of each segement in a fitted curve

조회 수: 13 (최근 30일)
Salma fathi 2022년 4월 13일
댓글: Salma fathi 2022년 4월 14일
having the following plot,
Is there a method that would allow me to find the slope of each segment in this plot or at least, how I cann retrieve the x , y coordinates for the points on the plot so I can use them to find the slope?
attached is the data I am fitting, the x coordinate is GDALT variable and the y coordinate is the NE variabel. I used the curve fitting toolbox to generate this plot.
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Akira Agata 2022년 4월 14일
It might be better to smoothen your data before calculating slope for each point, like:
idx = isnan(T.NE);
T(idx, :) = [];
x = linspace(T.GDALT(1), T.GDALT(end));
y = interp1(T.GDALT, T.NE, x, 'spline');
figure
plot(T.GDALT, T.NE, 'o-')
hold on
plot(x, y)
legend({'Original', 'Smoothed'})
Salma fathi 2022년 4월 14일
편집: Salma fathi 2022년 4월 14일
Thank you for your reply, I believe I can do that also by using interpolating via 'cubic spline' instead of 'linear' in the curve fitting toolbox and it would give the same result right?
But I am still not sure how this will help me in finding the slope at the indicated points in the plot...

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### 채택된 답변

Chunru 2022년 4월 14일
idx = isnan(T.NE);
T(idx, :) = [];
x = T.GDALT;
y = T.NE;
plot(x, y, 'o-')
% The slope for each segment
slope = diff(y)./diff(x)
slope = 15×1
1.0e+10 * 0.1733 0.4733 1.0267 1.1600 0.8067 0.3600 -0.1067 -0.3467 -0.4267 -0.4267
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Salma fathi 2022년 4월 14일
Thank you for the help.

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### 추가 답변 (1개)

Akira Agata 2022년 4월 14일
By applying interpolation, you can decrease and, as a result, the deviation will be more accurate.
The following is an example.
BTW, you don't need to use Curve Fitting Toolbox for interpolation. The function interp1 is in the basic MATLAB.
idx = isnan(T.NE);
T(idx, :) = [];
x = linspace(T.GDALT(1), T.GDALT(end));
y = interp1(T.GDALT, T.NE, x, 'spline');
dy = diff(y)/uniquetol(diff(x));
figure
yyaxis left
plot(T.GDALT, T.NE, 'bo')
hold on
plot(x, y, 'b-')
xlabel('NE')
ylabel('GDALT')
yyaxis right
plot(x(1:end-1),dy)
ylabel('\Delta GDALT / \Delta NE')
legend({'Original', 'Smoothed', 'Slope'})
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Salma fathi 2022년 4월 14일
Thank you for the great explanation, I have a better understanding now. Much appreciated.

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