2022
DOI: 10.1007/s11263-022-01610-y
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3D Shape Analysis Through a Quantum Lens: the Average Mixing Kernel Signature

Abstract: The Average Mixing Kernel Signature is a novel spectral signature for points on non-rigid three-dimensional shapes. It is based on a quantum exploration process of the shape surface, where the average transition probabilities between the points of the shape are summarised in the finite-time average mixing kernel. A band-filtered spectral analysis of this kernel then yields the AMKS. Crucially, we show that opting for a finite time-evolution allows the signature to account for a mixing of the Laplacian eigenspa… Show more

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Cited by 9 publications
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References 31 publications
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