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## Research Article Image Deconvolution by Means of Frequency Blur Invariant Concept

### Citations

83 |
Tri-state median filter for image denoising”,
- Chen, Ma, et al.
- 1999
(Show Context)
Citation Context ...respectively. The Wiener deconvolution method has widespread use in image deconvolution applications, as the frequency spectrum of most visual images is fairly well behaved andmay be estimated easily =-=[25, 26]-=-. Here, the target is to find ... |

66 | Degraded image analysis: an invariant approach
- Flusser, Suk
- 1998
(Show Context)
Citation Context ...develop some features for object recognition [14]. Blur invariant in moment domain is proposed by Flusser and Suk, which is invariant to convolution of an image with an arbitrary symmetric PSF kernel =-=[15]-=-. Two recognition methods for motion blurred images have been developed based on a relation between the moments of the blurred and the original images [16]. A set of invariants are derived from Zernik... |

9 |
Recognition of motion-blurred images by use of the method of moments,”
- Stern, Kruchakov, et al.
- 2002
(Show Context)
Citation Context ...image with an arbitrary symmetric PSF kernel [15]. Two recognition methods for motion blurred images have been developed based on a relation between the moments of the blurred and the original images =-=[16]-=-. A set of invariants are derived from Zernike moments which are simultaneously invariant to similarity transformation and to convolution with circularly symmetric PSF [17]. Dai et al. [18] proposed a... |

6 | A method for blur and similarity transform invariant object recognition
- Ojansivu, Heikkilä
- 2007
(Show Context)
Citation Context ...o estimate the PSF, and the last is to obtain the original image via deblurring processes. A frequency domain approach for blur invariant has been done to develop some features for object recognition =-=[14]-=-. Blur invariant in moment domain is proposed by Flusser and Suk, which is invariant to convolution of an image with an arbitrary symmetric PSF kernel [15]. Two recognition methods for motion blurred ... |

4 | Parameter estimation for blind and non-blind deblurring using residual whiteness measures. - Almeida, Figueiredo - 2013 |

3 |
Coatrieux, “Combined invariants to similarity transformation and to blur using orthogonal Zernike moments
- Chen, Shu, et al.
- 2011
(Show Context)
Citation Context ...red and the original images [16]. A set of invariants are derived from Zernike moments which are simultaneously invariant to similarity transformation and to convolution with circularly symmetric PSF =-=[17]-=-. Dai et al. [18] proposed a solution to develop a blur invariant feature set for degraded image recognition systems based on the orthogonal Legendre moments. Yan et al. [19] used the second order cen... |

2 |
Defocus map estimation from a single image via spectrum contrast
- Tang, Hou, et al.
- 2013
(Show Context)
Citation Context ... spread function (PSF) of an imaging system introduces some levels of blurring in the captured images.Mostly the PSF ismodeled as a Gaussian distribution which is widely applicable in imaging devices =-=[1]-=-. Restoration of images can be performed using nonblind and blind techniques. In case of nonblind technique [2–4], the estimation of the original image is obtained using prior knowledge of the PSF whi... |

2 | Non-blind image deblurring method by local and nonlocal total variation models - Tang, Gong, et al. - 2014 |

2 | Blinddeconvolution optical-resolution photoacoustic microscopy in vivo - Chen, Lin, et al. - 2013 |

2 |
Wavelet-domain blur invariants for image analysis
- Makaremi, Ahmadi
- 2012
(Show Context)
Citation Context ... is segmented from the acquired image of an eye using an edge detection algorithm. Wavelet-domain blur invariants are proposed for 2D discrete signals which are invariant to centrally symmetric blurs =-=[21]-=-. Honarvar et al. [22] derived new algorithms for image deblurring by means of image reconstruction from its complete set of geometric and complex moments. The adaptive total variation (TV) minimizati... |

1 | Moment domain representation of nonblind image deblurring - Kumar, Paramesran, et al. - 2014 |

1 |
Ribak, “Estimation of the ocular point spread function by retina modeling
- Meitav, N
- 2012
(Show Context)
Citation Context ... blind techniques. In case of nonblind technique [2–4], the estimation of the original image is obtained using prior knowledge of the PSF which can be derived based on the various modeling algorithms =-=[5, 6]-=-. But in most cases, the PSF is unknown. Hence, in order to estimate the PSF and the original image, blind deconvolution technique is adopted [7–13].The general model which is used for the observed bl... |

1 | et al., “Blind deconvolution for spatial distribution of - He, Zhao, et al. - 2014 |

1 | Blind deconvolution of a noisy degraded image - Zhang, Zhang, et al. - 2009 |

1 | image deconvolutionwith spatially adaptive total variation regularization - Yan, Fang, et al. - 2012 |

1 | A l0 sparse analysis prior for blind poissonian image deconvolution - Gong, Lai, et al. - 2014 |

1 | Poissonian images deconvolution with framelet regularization - Fang, Yan, et al. - 2013 |

1 | Deconvolution of astronomical images using SORwith adaptive relaxation - Vorontsov, Strakhov, et al. - 2011 |

1 |
Legendremoment invariants to blur and affine transformation and their use in image recognition
- Dai, Zhang, et al.
- 2014
(Show Context)
Citation Context ...nal images [16]. A set of invariants are derived from Zernike moments which are simultaneously invariant to similarity transformation and to convolution with circularly symmetric PSF [17]. Dai et al. =-=[18]-=- proposed a solution to develop a blur invariant feature set for degraded image recognition systems based on the orthogonal Legendre moments. Yan et al. [19] used the second order central moment minim... |

1 |
Atmosphericturbulence-degraded astronomical image restoration by minimizing second-order central moment
- Yan, Jin, et al.
- 2012
(Show Context)
Citation Context ... circularly symmetric PSF [17]. Dai et al. [18] proposed a solution to develop a blur invariant feature set for degraded image recognition systems based on the orthogonal Legendre moments. Yan et al. =-=[19]-=- used the second order central moment minimization for restoring of the astronomical images degraded by the atmospheric turbulence. Khan et al. presented a biometric technique for identification of a ... |

1 |
Iris recognition using image moments and k-means algorithm
- Khan, Khan, et al.
- 2014
(Show Context)
Citation Context ...l images degraded by the atmospheric turbulence. Khan et al. presented a biometric technique for identification of a person using the iris image by means of the ordinary moments and ... |

1 |
Image reconstruction from a complete set of geometric and complex moments
- Honarvar, Paramesran, et al.
- 2014
(Show Context)
Citation Context ... acquired image of an eye using an edge detection algorithm. Wavelet-domain blur invariants are proposed for 2D discrete signals which are invariant to centrally symmetric blurs [21]. Honarvar et al. =-=[22]-=- derived new algorithms for image deblurring by means of image reconstruction from its complete set of geometric and complex moments. The adaptive total variation (TV) minimization technique by Yoon e... |

1 |
Adaptive total variation minimization-based image enhancement from flash and no-flash pairs,” The Scientific
- Yoon, Lee, et al.
- 2014
(Show Context)
Citation Context ...ed new algorithms for image deblurring by means of image reconstruction from its complete set of geometric and complex moments. The adaptive total variation (TV) minimization technique by Yoon et al. =-=[23]-=- has used image enhancement from flash and no-flash pairs. Accurate sparseprojection image reconstruction via nonlocal TV regularization is proposed by Zhang et al. for tomography applications [24]. I... |

1 |
Accurate sparse-projection image reconstruction via nonlocal TV regularization
- Zhang, Zhang, et al.
(Show Context)
Citation Context ...l. [23] has used image enhancement from flash and no-flash pairs. Accurate sparseprojection image reconstruction via nonlocal TV regularization is proposed by Zhang et al. for tomography applications =-=[24]-=-. In this paper, the blur invariant features in Fourier domain are proposed. By establishing a relationship between the normalized Fourier transform of the blurred and the original images, it is possi... |

1 |
A hierarchical framework approach for voice activity detection and speech enhancement,”TheScientificWorld
- Zhang, Tang, et al.
(Show Context)
Citation Context ...respectively. The Wiener deconvolution method has widespread use in image deconvolution applications, as the frequency spectrum of most visual images is fairly well behaved andmay be estimated easily =-=[25, 26]-=-. Here, the target is to find ... |