How to calculate the difference between two Areas?

Hi.

I have two areas.

How can I obtain the difference between these two?

How can I then minimize the difference by translating the second area?

Or even better, how can I display the difference between areas as a funcion of the amont of translation done to the second area?

[Star Strider]

They look alike (to me). (The waves on the top is a nice touch!)

Code, data, and more information about them would be helpful.

[Gabriele Colasurdo]

Hi.

They are not. Those curves are obtained from the profiles of a cycloid gear.

One profile is theoretical, one is the real profile. The real profile is slightly shifted (in angle, wich is on the x axis of the area graphs).

White is the real tooth profile, Black the theoretical profile.

I exported the points in excel, then in MatLab.

Basically I have plotted the Angle and Radii, obtained after a quick coordinate conversion of the previously exported points in excel.

I'm hoping that, by obtaining the angle value for which the area difference is minimum, I can align the two gear profiles.

As you can see there is a slight misalignment and if you zoom on the Area graphs you can catch it.

[Star Strider]

Code and data would be helpful.

[Gabriele Colasurdo]

Sorry but what do you mean by code and data? :S

Answer 1

[Ridwan Alam]

If you just want to align those two profiles using angle values, then I would use findpeaks() on both and look at their differences.

% angle1, angle2 are arrays 
[~,peaklocs1] = findpeaks(angle1); % add options such as "MinPeakDistance" and others as necessary
[~,peaklocs2] = findpeaks(angle2);

if peaklocs2(1)>peaklocs1(1)
    alignment = peaklocs2(1) - peaklocs1(1) 
else
    alignment = peaklocs1(1) - peaklocs2(1)
end