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How to calculate double integral of a circular area?

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Xinchen Zhang
Xinchen Zhang 2020-1-7
评论： Xinchen Zhang 2020-1-7
I only have three matrices, X, Y and A as attached. X and Y are the discrete point position in the Cartesian coordinate, A is the corresponding value of each point. All of those three matrices are 64×180 format (64 radial and 180 azimuthal points within a circular area).
Is there any way to calculated the bulk A value in this circular area?
I can understand the double integral in a rectangular area, as shown in this question (https://ww2.mathworks.cn/matlabcentral/answers/464644-double-integral-of-numerical-data), but it's really out of my knowledge for a circular area.

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回答（1 个）

Hiro Yoshino
Hiro Yoshino 2020-1-7
You may want to use the indices:
radius = 0.5;
idx = sqrt(X.^2+Y.^2) < radius;
This way, you can extract the elements of A within the radius.
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Xinchen Zhang
Xinchen Zhang 2020-1-7
Sorry forgot to say, the A value is not centrosymmetric circular area, even it is not well-regulated. So I might need a double integral to solve the result of bulk value.

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