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Points inside the sphere

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Aliaksandra Sikirzhytskaya
编辑： James Tursa 2022-11-1
How to find if the points are inside or on the edge of the ellipsoid with the center at X Y Z and radiuses a b c?

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James Tursa
James Tursa 2022-11-1
编辑：James Tursa 2022-11-1
Just plug your points into the ellipsoid equation and see if they work. E.g.,
((x - X)/a).^2 + ((y - Y)/b).^2 + ((z - Z)/c).^2 <= 1
Where x, y, z are the coordinates of your points.

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Torsten
Torsten 2022-11-1
Hint:
Use the function
fun = @(x,y,z) ((x-X)/a).^2 + ((y-Y)/b).^2 + ((z-Z)/c).^2 - 1.0;

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