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A solution for the best rotation to relate two sets of vectors
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1976
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Mathematical ProgrammingGeometric ModelingLarge-scale Global OptimizationParametric ProgrammingEngineeringBest RotationPattern RecognitionImage RegistrationSquared DeviationsNatural SciencesConstrained OptimizationMetric ConstraintInverse ProblemsComputer ScienceNonlinear OptimizationComputational Geometry
A simple procedure is derived which determines a best rotation of a given vector set into a second vector set by minimizing the weighted sum of squared deviations. The method is generalized for any given metric constraint on the transformation.