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3d objects can be described by a set of points on a regular grid in Euclidean space. Given the n x 3 matrix m defining some number of objects on a grid with resolution res, return a matrix p that defines these objects after dilation by a single point on the grid in every direction.

Assume an "edge" connectivity scheme for dilation (i.e. each point in the grid has 18 neighbors, one for each surface of a cube and one for each edge of the cube). Any given point should appear in the output matrix once.

m = [0 0 0]; res = 1; >> p = dilate3d(m,res)

p =

-1 -1 0 -1 0 -1 -1 0 0 -1 0 1 -1 1 0 0 -1 -1 0 -1 0 0 -1 1 0 0 -1 0 0 0 0 0 1 0 1 -1 0 1 0 0 1 1 1 -1 0 1 0 -1 1 0 0 1 0 1 1 1 0

5 correct solutions
0 incorrect solutions

Last solution submitted on Jan 02, 2015