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4.2 Parallel planes with a given separation

  Consider without loss of generality two parallel planes and containing respectively and points and separated by the algebraic distance . Since the two planes have a common orientation a single normal can be associated with them. Each pair of points has to satisfy the following equation:

by considering all the planes' points, the normal has to minimize the above least squares criterion:

 

where



Naoufel Werghi
Thu Jul 10 17:36:04 BST 1997