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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 computational optimisation issues. Finally, we present examples of use on a sample dataset and offer possible applications of the algorithms.
Advances in Applied Clifford Algebras – Springer Journals
Published: Jul 1, 2023
Keywords: Conic fit; Geometric algebra; Clifford algebra; Centre position; Axial alignment
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