Abstract
We introduce a new conic fitting algorithm using Geometric Algebra for Conics (GAC) that not only minimises the overall distance to a data set, but also causes the fitted conic to pass through prescribed waypoints. Moreover, the expression for points at infinity (also called improper points) in terms of GAC is derived; hence, the use of the improper waypoints in the conic fitting problem is enabled. Finally, a MATLAB implementation of the fitting algorithm and experimental results based on custom data sets are included.
The research was supported by a BUT grant no. FSI-S-23-8161.
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Loučka, P. (2023). On Proper and Improper Points in Geometric Algebra for Conics and Conic Fitting Through Given Waypoints. In: Hitzer, E., Papagiannakis, G., Vasik, P. (eds) Empowering Novel Geometric Algebra for Graphics and Engineering. ENGAGE 2022. Lecture Notes in Computer Science, vol 13862. Springer, Cham. https://doi.org/10.1007/978-3-031-30923-6_6
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DOI: https://doi.org/10.1007/978-3-031-30923-6_6
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