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A novel set of rotationally and translationally invariant features for images based on the non-commutative bispectrum

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arxiv cs/0701127 v3 pith:VA2UWQUB submitted 2007-01-20 cs.CV cs.AI

classification cs.CVcs.AI
keywords featuresimagebispectruminvariantrotationallytranslationallyclassificationconcept
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We propose a new set of rotationally and translationally invariant features for image or pattern recognition and classification. The new features are cubic polynomials in the pixel intensities and provide a richer representation of the original image than most existing systems of invariants. Our construction is based on the generalization of the concept of bispectrum to the three-dimensional rotation group SO(3), and a projection of the image onto the sphere.

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Cited by 2 Pith papers

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    In the adiabatic Hubbard-Holstein model, increasing Hubbard repulsion accelerates charge density wave domain growth, restoring Allen-Cahn t^(1/2) coarsening via screening of the Holstein coupling.

  2. Machine Learning Force-Field Approach for Itinerant Electron Magnets

    cond-mat.str-el 2025-01 conditional novelty 4.0 of 10

    A machine-learning force field with symmetry-preserving descriptors reproduces non-collinear spin dynamics and reveals arrested skyrmion ordering in triangular-lattice s-d models.

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