Segmentation-based multiframe blind deconvolution of solar images

Miura, Noriaki; Baba, Naoshi

doi:10.1364/josaa.12.001858

Cited by 7 publications

(4 citation statements)

References 10 publications

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“…More precisely, the diagonal blocks are tridiagonal in both 's, and the off-diagonal blocks in are just diagonal matrices, while in they are tridiagonal as well. Almost identical discrete equations can be obtained for the Mumford-Shah regularization by means of (12). For instance, if except for where then (12) takes the form of (23) and, if in addition, for then (12) takes the form of (24).…”

Section: Mc-am Algorithmmentioning

confidence: 99%

“…A famous pioneering work in blind deconvolution has been done by Ayers and Dainty [11]. (Interesting also are enhancements proposed in [12]- [14].) Their iterative method based on Wiener-like filters with the possibility to include all sorts of constraints is robust to noise but lacks any reliability, since the problem of blind deconvolution is ill-posed with respect to both the image and the blur.…”

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confidence: 99%

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Multichannel blind iterative image restoration

Šroubek

Flusser

2003

IEEE Trans. on Image Process.

154

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Abstract-Blind image deconvolution is required in many applications of microscopy imaging, remote sensing, and astronomical imaging. Unfortunately in a single-channel framework, serious conceptual and numerical problems are often encountered. Very recently, an eigenvector-based method (EVAM) was proposed for a multichannel framework which determines perfectly convolution masks in a noise-free environment if channel disparity, called co-primeness, is satisfied. We propose a novel iterative algorithm based on recent anisotropic denoising techniques of total variation and a Mumford-Shah functional with the EVAM restoration condition included. A linearization scheme of half-quadratic regularization together with a cell-centered finite difference discretization scheme is used in the algorithm and provides a unified approach to the solution of total variation or Mumford-Shah. The algorithm performs well even on very noisy images and does not require an exact estimation of mask orders. We demonstrate capabilities of the algorithm on synthetic data. Finally, the algorithm is applied to defocused images taken with a digital camera and to data from astronomical ground-based observations of the Sun.

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Section: Mc-am Algorithmmentioning

confidence: 99%

mentioning

confidence: 99%

Multichannel blind iterative image restoration

Šroubek

Flusser

2003

IEEE Trans. on Image Process.

154

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“…A major question concerns the uniqueness of the solutions obtained from blind deconvolution. While Miura and Baba (1995) claim that their reconstructions are unique, Christou et al (1994) failed to find a converging algorithm for solar images.…”

Section: Deconvolutionmentioning

confidence: 99%

12 Solar radiation & structure

1997

Trans. Int. Astron. Union

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Spatial structures in the solar photosphere are likely to be seen down to scales of the order of the photon mean free path, which is about 70 km in the lower photosphere. This scale corresponds to an angle of O.”1 at disk center. Structures associated with magnetic fields may be expected on even smaller scales. Existing solar telescopes typically have diameters of slightly less than one meter. Hence, even in the visible part of the spectrum, the scales of solar structures extend out to the diffraction limit of current solar telescopes. Therefore, the achievable spatial resolution is limited by turbulence in the Earth’s atmosphere (seeing). This has led to the development of various techniques to overcome this resolution limit and achieve diffraction-limited resolution. This report covers selected highlights and recent work done in the context of high-resolution techniques published in the period from July 1, 1993 to June 30, 1996. Due to the lack of space the report remains necessarily incomplete, and I apologize to all the authors of important contributions that are not cited here. This review does not cover space and balloon-borne instruments that try to achieve high spatial resolution by observing from above the Earth’s atmosphere. Recent work on ground-based high-resolution techniques has been collected in the proceedings of the 13th Sacramento Peak Summer Workshop on Real Time and Post Facto Solar Image Correction (Radick 1993).

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“…[5][6][7] Blind deconvolution technique has been also applied to solar speckle images. 8,9 Among these methods a shift-and-add (SAA) method 10,11 in speckle solar imaging can be regarded as the simplest one.…”

Section: Introductionmentioning

confidence: 99%

Application of self-deconvolution method to shift-and-add solar imaging

et al. 2006

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JapanA shift-and-add (SAA) operation is conducted to reconstruct a high-spatial-resolution image from atmospherically degraded solar images. The self-deconvolving data reconstruction algorithm (SeDDaRA) is used to augment high-spatial-frequency components in solar speckle images and rectify background component resulted from the SAA operation. Self-deconvolved solar speckle images are shift-and-added and the resulted image shows high-spatial-resolution features.

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Segmentation-based multiframe blind deconvolution of solar images

Cited by 7 publications

References 10 publications

Multichannel blind iterative image restoration

Multichannel blind iterative image restoration

12 Solar radiation & structure

Application of self-deconvolution method to shift-and-add solar imaging

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