Abstract
The paper shows that the moment invariants proposed recently in this journal by Hjouji et al. (J Math Imaging Vis 62:606–624, 2020) are incomplete, which leads to a limited discriminability. We prove this by means of circular projection of the image. In a broader context, we demonstrate that completeness of the invariants leads to a better recognition power.
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Notes
This statement is known as Moment Uniqueness Theorem, see [1] for more details.
For some images, certain moments may be constrained to be zero or non-zero, so the choice may not be totally free.
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Acknowledgements
This work has been supported by the Czech Science Foundation under the Grant No. GA21-03921S and by the Praemium Academiae.
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Flusser, J., Suk, T. & Zitová, B. Complete and Incomplete Sets of Invariants. J Math Imaging Vis 63, 917–922 (2021). https://doi.org/10.1007/s10851-021-01039-x
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DOI: https://doi.org/10.1007/s10851-021-01039-x