How to find and plot overlap volume of spheres in matlab?

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Ankit Chauhan 2023-1-10

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https://ww2.mathworks.cn/matlabcentral/answers/1891370-how-to-find-and-plot-overlap-volume-of-spheres-in-matlab

回答： Sarthak 2023-2-21

Hello Everyone, I have a Aniline atoms and epoxy atoms packed in a box. I know ID , type, X, Y, Z coordinates as attached Aniline and Epoxy_data. For each point of atoms (X, Y, Z coordinate), i want to create a sphere with radius of 1, 3, and 5 mm. Then interested to calculate the intersection volume of spheres within epoxy atoms (cyan), within aniline atoms (red) and intersection volume of spheres between aniline and epoxy atoms.

How can I do this in matlab?

Thanks

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Answer 1

Sarthak 2023-2-21

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https://ww2.mathworks.cn/matlabcentral/answers/1891370-how-to-find-and-plot-overlap-volume-of-spheres-in-matlab#answer_1176385

Hi Ankit,

A possible work-around is to use the volume_intersect_sphere_analytical function available on file exchange. It provides the intersection between any two spheres in the form of a matrix. However, you may have to check the indexes with the corresponding type of spheres.

You can use this for your reference: Analytical intersection volume between two spheres - File Exchange - MATLAB Central (mathworks.com).