Tag Archives: SVD

Linear least squares fitting of a circumference in 3D

In my last post I described how it is possible to find the centre and radius of a sphere given four or more points on its surface and not belonging to the same plane. What happens if the points do … Continue reading

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Linear least squares fitting of a sphere

The equation of a sphere with centre in and radius is or that is (1)  with Writing (1) for four points on the sphere, , not belonging to the same plane, one gets a linear system of rank 4 in … Continue reading

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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

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