Template matching on pure noise yields asymptotic convergence of maximum-likelihood class means and 3D reconstructions to deterministic noise-dependent transforms of the user templates, producing structure-from-noise artifacts.
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Functional multi-reference alignment is addressed by extending Kotlarski's deconvolution formula to general dimensions and signals with vanishing Fourier transforms.
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Structure from Noise: Confirmation Bias in Particle Picking in Structural Biology
Template matching on pure noise yields asymptotic convergence of maximum-likelihood class means and 3D reconstructions to deterministic noise-dependent transforms of the user templates, producing structure-from-noise artifacts.
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Functional Multi-Reference Alignment via Deconvolution
Functional multi-reference alignment is addressed by extending Kotlarski's deconvolution formula to general dimensions and signals with vanishing Fourier transforms.