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Monthly Archives: July 2010
Nonorthogonal basis functions
A function , not necessarily periodic, can be approximated over an interval as a finite linear combination of independent functions : The condition for the optimality of this approximation is equivalent to the set of equations that is or This … Continue reading
Posted in Uncategorized
Tagged approximation, basis, function, interval, nonorthogonal, truncated power series
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Constrained optimization without lagrangian multipliers
There is an obvious alternative to using lagrangian multipliers for constrained optimization: reformulate the problem in the subspace of constraints and it becomes automatically a non constrained problem. It is not always obvious, though, how one can do so in … Continue reading
Posted in Uncategorized
Tagged constraint subspace, least squares, optimization, plane, point, singular value decomposition, SVD
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Constrained homography
When matching two images, say L and R, of the same scene from different perspectives, sometimes it is useful to assume that the images are related by a homography, either because the observed object is planar, or because the images … Continue reading