Points inside the sphere

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?

Answer 1

[James Tursa]

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.

Answer 2

[Torsten]

Hint:

Use the function

fun = @(x,y,z) ((x-X)/a).^2 + ((y-Y)/b).^2 + ((z-Z)/c).^2 - 1.0;