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arXiv · 2407.11685

Deconvolution with a Box

Pedro Felzenszwalb
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Abstract

Deconvolution with a box (square wave) is a key operation for super-resolution with pixel-shift cameras. In general convolution with a box is not invertible. However, we can obtain perfect reconstructions of sparse signals using convex optimization. We give a direct proof that improves on the reconstruction bound that follows from previous results. We also show our bound is tight and matches an information theoretic limit.

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Pedro Felzenszwalb. 2024-07-16. Deconvolution with a Box. https://arxiv.org/abs/2407.11685

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