How to find maximum vertical distance between reference line and a curve?

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shagun chaudhary 2021-8-19

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https://ww2.mathworks.cn/matlabcentral/answers/1437059-how-to-find-maximum-vertical-distance-between-reference-line-and-a-curve

评论： shagun chaudhary 2021-8-20

采纳的回答： DGM

Screenshot 2021-08-19 at 8.08.32 PM.png

Hi,

I have plotted curve and reference in one graph. I wanted to find the maximum distance between two the line and coresponding x value.

I have used this code.but my answer is not coming right, so can you please help me . I am also showing the graph.

X=e.X;

Y=e.Y;

plot(X,Y);

hold on;

x=e.x

y=e.y;

plot (x,y);

[M,I] = max(abs(Y-y));

display([M,X(I)]);

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Fangjun Jiang 2021-8-19

Is there an error message? The code looks right, except for a case where Y is a row vector but y is a column vector. Then there would be no error but the result is out of whack.

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采纳的回答

DGM 2021-8-19

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1437059-how-to-find-maximum-vertical-distance-between-reference-line-and-a-curve#answer_770814

编辑：DGM 2021-8-19

在 MATLAB Online 中打开

Something like this:

% sample vectors don't share the same x-positions or length

% assuming both x vectors are monotonic increasing

x1 = [1 2 3 4 5];

y1 = [1 2 3 4 5];

x2 = [1.8 3 3.6 4.5 5];

y2 = [3 3.2 4 4.3 5];

% these are the sample locations in the overlap region

xs = unique(sort([x1,x2]));

xs = xs(xs>=max(x1(1),x2(1)) & xs<=min(x1(end),x2(end)));

% calculate distances, maximize

y1f = interp1(x1,y1,xs);

y2f = interp1(x2,y2,xs);

d = y2f - y1f

d = 1×7

1.2000 1.0333 0.2000 0.4000 0.1333 -0.2000 0

max(d)

ans = 1.2000

% plot the two curves and show the distances

plot(x1,y1,'ro-',x2,y2,'bo-'); hold on

for l = 1:numel(xs)

plot([1 1]*xs(l),[y1f(l) y2f(l)],'m:')

end

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DGM 2021-8-20

在 MATLAB Online 中打开

[~,idx] = max(d); % get location of max d
maxd = d(idx)
maxx = xs(idx)

shagun chaudhary 2021-8-20

Thank you so much sir. It been great help!

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