  We introduce several modifications of conic fitting in Geometric algebra for
conics by incorporating additional conditions into the optimisation problem.
Each of these extra conditions ensure additional geometric properties of a
fitted conic, in particular, centre point position at the origin of coordinate
system, axial alignment with coordinate axes, or, eventually, combination of
both. All derived algorithms are accompanied by a discussion of the underlying
algebra and optimisation issues, together with the implementation in MATLAB.
Finally, we present examples on a sample dataset and offer possible use of the
algorithms.
