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Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). (English) Zbl 1081.68732
Summary: This paper describes a novel inpainting algorithm that is capable of filling in holes in overlapping texture and cartoon image layers. This algorithm is a direct extension of a recently developed sparse-representation-based image decomposition method called MCA (morphological component analysis), designed for the separation of linearly combined texture and cartoon layers in a given image [see J.-L. Starck, M. Elad and D. L. Donoho, “Image decomposition via the combination of sparse representations and a variational approach”, IEEE Trans. Image Process. (2004) and “Redundant multiscale transforms and their application for morphological component analysis”, Adv. Imag. Electron Phys. (2004)]. In this extension, missing pixels fit naturally into the separation framework, producing separate layers as a by-product of the inpainting process. As opposed to the inpainting system proposed by Bertalmio et al., where image decomposition and filling-in stages were separated as two blocks in an overall system, the new approach considers separation, hole-filling, and denoising as one unified task. We demonstrate the performance of the new approach via several examples.

##### MSC:
 68U10 Computing methodologies for image processing 94A08 Image processing (compression, reconstruction, etc.) in information and communication theory 65D18 Numerical aspects of computer graphics, image analysis, and computational geometry 92C55 Biomedical imaging and signal processing 68W05 Nonnumerical algorithms
PDCO
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