14 February 2013 Light field image denoising using a linear 4D frequency-hyperfan all-in-focus filter
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Abstract
Imaging in low light is problematic as sensor noise can dominate imagery, and increasing illumination or aperture size is not always effective or practical. Computational photography offers a promising solution in the form of the light field camera, which by capturing redundant information offers an opportunity for elegant noise rejection. We show that the light field of a Lambertian scene has a 4D hyperfan-shaped frequency-domain region of support at the intersection of a dual-fan and a hypercone. By designing and implementing a filter with appropriately shaped passband we accomplish denoising with a single all-in-focus linear filter. Drawing examples from the Stanford Light Field Archive and images captured using a commercially available lenselet- based plenoptic camera, we demonstrate that the hyperfan outperforms competing methods including synthetic focus, fan-shaped antialiasing filters, and a range of modern nonlinear image and video denoising techniques. We show the hyperfan preserves depth of field, making it a single-step all-in-focus denoising filter suitable for general-purpose light field rendering. We include results for different noise types and levels, over a variety of metrics, and in real-world scenarios. Finally, we show that the hyperfan’s performance scales with aperture count.
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Donald G. Dansereau, Donald G. Dansereau, Daniel L. Bongiorno, Daniel L. Bongiorno, Oscar Pizarro, Oscar Pizarro, Stefan B. Williams, Stefan B. Williams, } "Light field image denoising using a linear 4D frequency-hyperfan all-in-focus filter", Proc. SPIE 8657, Computational Imaging XI, 86570P (14 February 2013); doi: 10.1117/12.2002239; https://doi.org/10.1117/12.2002239
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