Abstract
Digital images are matrices of equally spaced pixels, each containing a photon count. This photon count is a stochastic process due to the quantum nature of light. It follows that all images are noisy. Ever since digital images have existed, numerical methods have been proposed to improve the signal-to-noise ratio. Such 'denoising' methods require a noise model and an image model. It is relatively easy to obtain a noise model. As will be explained in the present paper, it is even possible to estimate it from a single noisy image. © 2012 Cambridge University Press.
| Original language | English |
|---|---|
| Pages (from-to) | 475-576 |
| Number of pages | 102 |
| Journal | Acta Numerica |
| Volume | 21 |
| Early online date | 19 Apr 2012 |
| DOIs | |
| Publication status | Published - May 2012 |
| Externally published | Yes |
Bibliographical note
The authors wish to thank Richard Baraniuk, Alessandro Foi, Vladimir Kat-kovnik, Peyman Milanfar, Boaz Nadler, Boshra Rajaei, Guillermo Sapiro, Eero Simoncelli, Yair Weiss and Guoshen Yu for valuable comments, which have been systematically integrated into the text.Funding
Research was partly financed by the MISS project of Centre National d\u2019Etudes Spatiales, the US Office of Naval Research under grant N00014-97-1-0839, and by the European Research Council\u2019s \u2018Twelve Labours\u2019 advanced grant.