Structure–texture image decomposition via non-convex total generalized variation and convolutional sparse coding

Image decomposition is a fundamental but challenging ill-posed problem in image processing and has been widely applied to compression, enhancement, texture removal, etc. In this paper, we introduce a novel structure–texture image decomposition model via non-convex total generalized variation regularization (NTGV) and convolutional sparse coding (CSC). NTGV aims to characterize the detailed-preserved structural component ameliorating the staircasing artifacts existing in total variation-based models, and CSC aims to characterize image fine-scale textures. Moreover, we incorporate both structure-aware and texture-aware measures to well distinguish structural and textural component. The proposed model is numerically implemented by an alternating minimization scheme based on alternating direction method of multipliers. Experimental results demonstrate the effectiveness of our approach on several applications including texture removal, high dynamic range image tone mapping, detail enhancement and non-photorealistic abstraction.