Removing Camera Shake via Weighted Fourier Burst Accumulation
Mauricio Delbracio, Guillermo Sapiro

TL;DR
This paper introduces a simple Fourier domain weighted averaging method for removing camera shake from burst images, achieving state-of-the-art results efficiently without explicit blur estimation.
Contribution
The paper proposes a novel Fourier domain weighted averaging technique for burst image deblurring that is simple, fast, and does not require explicit blur estimation.
Findings
Achieves state-of-the-art deblurring results
Runs an order of magnitude faster than previous methods
Extends naturally to HDR imaging
Abstract
Numerous recent approaches attempt to remove image blur due to camera shake, either with one or multiple input images, by explicitly solving an inverse and inherently ill-posed deconvolution problem. If the photographer takes a burst of images, a modality available in virtually all modern digital cameras, we show that it is possible to combine them to get a clean sharp version. This is done without explicitly solving any blur estimation and subsequent inverse problem. The proposed algorithm is strikingly simple: it performs a weighted average in the Fourier domain, with weights depending on the Fourier spectrum magnitude. The method can be seen as a generalization of the align and average procedure, with a weighted average, motivated by hand-shake physiology and theoretically supported, taking place in the Fourier domain. The method's rationale is that camera shake has a random nature…
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