A Mathematical Analysis and Implementation of Residual Interpolation Demosaicking Algorithms
Qiyu Jin, Yu Guo, Jean-Michel Morel, Gabriele Facciolo
published
2021-07-27
reference
Qiyu Jin, Yu Guo, Jean-Michel Morel, and Gabriele Facciolo, A Mathematical Analysis and Implementation of Residual Interpolation Demosaicking Algorithms, Image Processing On Line, 11 (2021), pp. 234–283. https://doi.org/10.5201/ipol.2021.358

Communicated by Luis Álvarez
Demo edited by Gabriele Facciolo, Qiyu Jin

Abstract

Demosaicking is the process of reconstructing the full color image from its mosaic version on a Bayer pattern. It is an integral part of the image processing pipeline for single sensor digital color cameras. Demosaicking algorithms based on residual interpolation are interesting because they produce competitive results with a low computational complexity. In this article, we provide an analysis and careful implementation of the most relevant residual based demosaicking algorithms. Our contribution is twofold. First, we present an analysis of the mathematical principles of demosaicking algorithms from the Hamilton-Adams interpolation to the recent 'adaptive residual interpolation'. Our analysis untangles the relations of these algorithms and how each is improving on the preceding ones. Lastly, we provide a comparison between most recent state of the art methods on several image data sets and discuss their performances.

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