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Input: "Triangle Soup" : Collection of surface parts which may contain gaps, intersections or other problems

Output: Watertight two-manifold mesh

Parameters:
: approximation tolerance
: maximum hole / gap size

Requirements:

"every point on the original mesh has a distance of at most to a point on the reconstructed mesh"

also: but only if the closest point on is not a boundary point


"every point on the reconstructed mesh has a distance of at most to a point on the original mesh"

Algorithm
Insert all mesh faces into a voxel grid.
Grow -blobs from all boundary edges.
Flood fill the exterior.
Erode the -blobs from outside.
Reconstruct the mesh using Marching Cubes.