A Mathematical Analysis and Implementation of Residual Interpolation Demosaicking Algorithms
Qiyu Jin, Yu Guo, Gabriele Facciolo, Jean-Michel Morel
⚠ This is a preprint. It may change before it is accepted for publication.

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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