In the Cartesian coordinate system, given 3 geometrical solid objects (interior plus boundary): spheres S1(x1,y1,z1, R1), S2(x2,y2,z2, R2) and a cube (which is orthogonal with coordinate system) at the center C (x3,y3,z3) with size L x L x L. The question is “Whether the 3 objects have any common volumetric intersection (Yes or No) ” ? I need a math solution or computing algorithm for this problem.
Intersection of 2 spheres and a cube
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geometry
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0It depends on the values of your parameters. – 2011-04-04
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3"Sphere" and "cube" could refer to either the solid object (interior plus boundary) or the surface (boundary only). Which specific type of intersection are you looking for? – 2011-04-04