Frequency spectrum regularization for pattern noise removal based on image decomposition. Shirai, K., Ono, S., & Okuda, M. In *2017 25th European Signal Processing Conference (EUSIPCO)*, pages 1529-1533, Aug, 2017.

Paper doi abstract bibtex

Paper doi abstract bibtex

This paper deals with a mixed norm of complex vectors, i.e., the sum of amplitude spectra, and its minimization problem. A combination of this mixed norm and image decomposition problem works well for reduction and decomposition of pattern noise that arises when scanning old photographs with granulated surface. Generally, the spectral distribution of natural images decreases smoothly from low frequency band toward high frequency band, while that of pattern noise is distributed sparsely. Therefore, we assume that an observed image consists of a latent image component and a pattern noise component, and characterize them by using the total variation function and the proposed function, respectively. This enables a reasonable decomposition of the two components. Compared to similar decomposition methods such as Robust PCA, our method has a good decomposition accuracy for this task, and low computational cost.

@InProceedings{8081465, author = {K. Shirai and S. Ono and M. Okuda}, booktitle = {2017 25th European Signal Processing Conference (EUSIPCO)}, title = {Frequency spectrum regularization for pattern noise removal based on image decomposition}, year = {2017}, pages = {1529-1533}, abstract = {This paper deals with a mixed norm of complex vectors, i.e., the sum of amplitude spectra, and its minimization problem. A combination of this mixed norm and image decomposition problem works well for reduction and decomposition of pattern noise that arises when scanning old photographs with granulated surface. Generally, the spectral distribution of natural images decreases smoothly from low frequency band toward high frequency band, while that of pattern noise is distributed sparsely. Therefore, we assume that an observed image consists of a latent image component and a pattern noise component, and characterize them by using the total variation function and the proposed function, respectively. This enables a reasonable decomposition of the two components. Compared to similar decomposition methods such as Robust PCA, our method has a good decomposition accuracy for this task, and low computational cost.}, keywords = {image denoising;frequency spectrum regularization;pattern noise removal;complex vectors;image decomposition problem;old photographs;granulated surface;spectral distribution;natural images;latent image component;pattern noise component;low-frequency band;high-frequency band;Mathematical model;Convex functions;Minimization;Signal processing algorithms;Europe;Signal processing;Data models}, doi = {10.23919/EUSIPCO.2017.8081465}, issn = {2076-1465}, month = {Aug}, url = {https://www.eurasip.org/proceedings/eusipco/eusipco2017/papers/1570347198.pdf}, }

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