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Title: Restoration of chopped and nodded images by framelets
Authors: Cai, J.-F. 
Chan, R.
Shen, L.
Shen, Z. 
Keywords: Chopped and nodded image
Convex analysis
Projected Landweber method
Tight frame
Issue Date: 2007
Source: Cai, J.-F., Chan, R., Shen, L., Shen, Z. (2007). Restoration of chopped and nodded images by framelets. SIAM Journal on Scientific Computing 30 (3) : 1205-1227. ScholarBank@NUS Repository.
Abstract: In infrared astronomy, an observed image from a chop-and-nod process can be considered as the result of passing the original image through a high-pass filter. Here we propose a restoration algorithm which builds up a tight framelet system that has the high-pass filter as one of the framelet filters. Our approach reduces the solution of restoration problem to that of recovering the missing coefficients of the original image in the tight framelet decomposition. The framelet approach provides a natural setting to apply various sophisticated framelet denoising schemes to remove the noise without reducing the intensity of major stars in the image. A proof of the convergence of the algorithm based on convex analysis is also provided. Simulated and real images are tested to illustrate the efficiency of our method over the projected Landweber method. © 2008 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Scientific Computing
ISSN: 10648275
DOI: 10.1137/040615298
Appears in Collections:Staff Publications

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