Fast Deconvolution with Color Constraints on Gradients

Ayan Chakrabarti, Todd E. Zickler · 2013

Abstract—In this report, we describe a fast deconvolution approach for color images that combines a sparse regularization cost on the magnitudes of gradients with constraints on their direction in color space. We form these color constraints in a way that allows retaining the computationally-efficient optimization strategy introduced in recent deconvolution methods based on half-quadratic splitting. The proposed algorithm is capable of handling a different blur kernel in each color channel, and is used for per-layer deconvolution in our paper: “Depth and Deblurring from a Spectrally-varying Depth-of-Field ” [1]. A MATLAB implementation of this method is available at

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