Colorization of Natural Images via L1 Optimization

dc.creatorMohammad, Nassir
dc.creatorBalinsky, Alexander
dc.date2009-05-18
dc.date.accessioned2026-07-07T13:16:04Z
dc.date.available2026-07-07T13:16:04Z
dc.descriptionNatural images in the colour space YUV have been observed to have a non-Gaussian, heavy tailed distribution (called 'sparse') when the filter G(U)(r) = U(r) - sum_{s \in N(r)} w{(Y)_{rs}} U(s), is applied to the chromacity channel U (and equivalently to V), where w is a weighting function constructed from the intensity component Y [1]. In this paper we develop Bayesian analysis of the colorization problem using the filter response as a regularization term to arrive at a non-convex optimization problem. This problem is convexified using L1 optimization which often gives the same results for sparse signals [2]. It is observed that L1 optimization, in many cases, over-performs the famous colorization algorithm by Levin et al [3].
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0905.2924
dc.identifierhttp://arxiv.org/abs/0905.2924
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230671
dc.subjectComputer Vision and Pattern Recognition
dc.titleColorization of Natural Images via L1 Optimization
dc.typetext

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