MATLAB: Find intersection between horizontal line and a set of (x,y) data and find the length of intersected line segments above the given (x,y) data

indexinginterpolationMATLAB

I have a river cross section data as a set of (x,y) points.

I have to find the width of the water surface for given water level elevation.

For example, the river cross section data joined with straight lines (red line) is as shown in the attached image and blue line is the given water surface elevation.

The water surface elevation intersects the cross section at four points here (it could be any number ranging from 2 to n)

What i need to do is to find the lengths of the intersected line segments representing water surface which are above the cross section.

Need some quick ideas.

Best Answer

Check this FEX package: https://www.mathworks.com/matlabcentral/fileexchange/22441-curve-intersections

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MATLAB: Find intersection points between lines

You can consider using this file exchange to find the point of intersections.

https://in.mathworks.com/matlabcentral/fileexchange/22441-curve-intersections

MATLAB: Bars at specific (x,y) points

You need to store the temperature values in a 2D matrix considering x, y values as row and column indices. For example,

data = [3  28  26.711
    4  28  26.711
    5  28  26.532
    5  27  26.532
    5  26  26.711];
barData = zeros(max(data(:,1)),max(data(:,2)));
for k = 1:length(data(:,1))
    barData(data(k,1),data(k,2))=data(k,3);
end
bar3(barData)

But remember, you have 0 in x and y coordinates, that's not possible this way. You need to include an offset for this case.

Best Answer

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MATLAB: Bars at specific (x,y) points

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