It is now well understood that it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements. The form is solution to the optimization problem min parallel t...
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ISBN:
(纸本)9781424441303
It is now well understood that it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements. The form is solution to the optimization problem min parallel to s parallel to(0), subject to As = x. while this is an NP hard problem, i.e., a non convex problem, therefore researchers try to solve it by constrained l(1)-norm minimization and get near-optimal solution. In this paper, we study a novel method, called smoothed l(0) -norm, for sparse signal recovery. Unlike previous methods, our algorithm tries to directly minimize the l(0) -norm. It is experimented on synthetic and real imagedata and shows that the proposed algorithm outperforms the interior-point LP solvers, while providing the same even better accuracy.
Magnetic Resonance Imaging (MRI) is a non-invasive and powerful technique for clinical diagnosis and treatment monitoring. However, long data acquisition time in conventional MRI may cause patient discomfort and compl...
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ISBN:
(纸本)9781728133232
Magnetic Resonance Imaging (MRI) is a non-invasive and powerful technique for clinical diagnosis and treatment monitoring. However, long data acquisition time in conventional MRI may cause patient discomfort and compliance. Recently, parallel magnetic resonance imaging (pMRI) techniques have been developed to speed-up the MR data acquisition time by collecting a reduced data set (k-space) using multi-channel receiver coils. However, with an increasing number of receiver coils, the handling and processing of a massive MR data limits the performance of pMRI techniques in terms of reconstruction time. Therefore, in real-time clinical settings, high speed systems have become imperative to meet the large data processing requirements of pMRI technique i.e. Generalized Auto-calibrating Partially Parallel Acquisition (GRAPPA). Graphics processing units (GPUs) have recently emerged as a viable solution to adhere the rising demands of fast data processing in pMRI. This work presents the GPU accelerated GRAPPA reconstruction method using optimized CUDA kernels to obtain high-speed reconstructions, where multiple threads simultaneously communicate and cooperate to exploit the fine grained parallelism of GRAPPA reconstruction process. For a fair comparison, the performance of the proposed GPU based GRAPPA reconstruction is evaluated against CPU based GRAPPA. Several experiments against various GRAPPA configuration settings are performed using 8-channel in-vivo 1.5T human head datasets. Experimental results show that the proposed method speeds up the GRAPPA reconstruction time up to 15x without compromising the image quality.
In a digital camera the MTF of the optical system must comprise a low-pass filter in order to avoid aliasing. The MTF of incoherent imaging usually and in principle is far from an ideal low-pass. Theoretically a digit...
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ISBN:
(纸本)0819445592
In a digital camera the MTF of the optical system must comprise a low-pass filter in order to avoid aliasing. The MTF of incoherent imaging usually and in principle is far from an ideal low-pass. Theoretically a digital ARMA-Filter can be used to compensate for this drawback. In praxis such deconvolution filters suffer from instability because of time-variant noise and space-variance of the MTF. In addition in a line scanner the MTF in scan direction slightly differs in each scanned image. Therefore inverse filtering will not operate satisfactory in an unknown environment. A new concept is presented which solves both problems using a-priori information about an object, e.g. that parts of it are known to be binary. This information is enough to achieve a stable space and time-variant ARMA-deconvolution filter. Best results are achieved using non linear filtering and pattern feedback. The new method was used to improve the bit-error-rate (BER) of a high-density matrix-code scanner by more than one order of magnitude. An audio scanner will be demonstrated, which reads 12 seconds of music in CD-quality from an audio coded image of 18mmx55mm size.
Many imaging systems involve a loss of information that requires the incorporation of prior knowledge in the restoration/reconstruction process. We focus on the typical case of 30 reconstructionfrom an incomplete set...
Many imaging systems involve a loss of information that requires the incorporation of prior knowledge in the restoration/reconstruction process. We focus on the typical case of 30 reconstructionfrom an incomplete set of projections. An approach based an constrained optimization is introduced This approach provides a powerful mathematical framework for selecting a specific solution from the set of feasible solutions;this is done by minimizing some criteria depending on prior densitometric information that can be interpreted through a generalized support constraint. We propose a global optimization scheme using a deterministic relaxation algorithm based on Bregman's algorithm associated with half-quadratic minimization techniques. When used for 30 vascular reconstructionfrom 2D digital subtracted angiography (DSA) data, such an approach enables the reconstruction of a well-contrasted 30 vascular network in comparison with results obtained using standard algorithms. (C) 1997 SPIE and IS&T.
Experiments for superresolution imagereconstructionfrom subpixel shifted overlapping images has been performed for computer simulated imagedata in order to evaluate the primitive superresolution image reconstructio...
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ISBN:
(纸本)9781604237511
Experiments for superresolution imagereconstructionfrom subpixel shifted overlapping images has been performed for computer simulated imagedata in order to evaluate the primitive superresolution imagereconstruction methods. The methods based on simultaneous equation showed comparatively small rms error according to the numerical solution. However, a high-resolution image was not obtained at ill-conditioned. The method based on local iteration showed good performance from view point of rms error and robustness.
Single-photon emission computed tomography (SPECT) is a method of choice for imaging spatial distributions of radioisotopes. Applications of this method are found in medicine, biomedical research and nuclear industry....
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ISBN:
(纸本)9781457709258
Single-photon emission computed tomography (SPECT) is a method of choice for imaging spatial distributions of radioisotopes. Applications of this method are found in medicine, biomedical research and nuclear industry. This paper deals with improving spatial resolution in SPECT by applying correction for the point-spread function (PSF) in the reconstruction algorithm and optimizing the collimator. Several approaches are considered: the use of a depth-dependent PSF model for a parallel-beam collimator derived from experimental data, the extension of this model to a fan-beam collimator, a triangular approximation of the PSF for reconstruction acceleration, and a method for optimal fan-beam collimator design. An unmatched projector/backprojector ordered subsets expectation maximization (OSEM) algorithm is used for imagereconstruction. Experimental results with simulated and physical phantom data of a micro-SPECT system show a significant improvement of spatial resolution with the proposed methods.
In this paper we propose a new algorithm for super-resolution of Farsi text image sequences. Our algorithm contains three main steps as prior super-resolution algorithms;registration, reconstruction, and restoration. ...
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ISBN:
(纸本)9781479984459
In this paper we propose a new algorithm for super-resolution of Farsi text image sequences. Our algorithm contains three main steps as prior super-resolution algorithms;registration, reconstruction, and restoration. Due to special properties of Farsi texts such as appearance of dots in alphabet, selecting a proper super-resolution algorithm, especially in presence of noise, is more important. We propose an algorithm with an accurate sub-pixel registration and IBP reconstruction that reconstructs a high resolution imagefrom a set of noisy low resolution observations. In restoration step we have exploited NLM algorithm to overcome image noise. We test our algorithm on synthetic and real data. Both quantitative and qualitative results show outperformance of our algorithm.
We analyze the quality of reconstructions obtained when using the multi-frame blind deconvolution (MFBD) algorithm and the bispectrum algorithm to reconstruct images from atmospherically-degraded data that are corrupt...
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ISBN:
(纸本)0819445592
We analyze the quality of reconstructions obtained when using the multi-frame blind deconvolution (MFBD) algorithm and the bispectrum algorithm to reconstruct images from atmospherically-degraded data that are corrupted by detector noise. In particular, the quality of reconstructions is analyzed in terms of the fidelity of the estimated Fourier phase spectra. Both the biases and the mean square phase errors of the Fourier spectra estimates are calculated and analyzed. The reason that the comparison is made by looking at the Fourier phase spectra is because both the MFBD and bispectrum algorithms can estimate Fourier phase information from the imagedata itself without requiring knowledge of the system transfer function, and because Fourier phase plays a dominant role in image quality. Computer-simulated data is used for the comparison in order to be able to calculate true biases and mean square errors in the estimated Fourier phase spectra. For the parameters in this study, the bispectrum algorithm produced less-biased phase estimates in all cases than the MFBD algorithm. The MFBD algorithm produced mean square phase errors comparable to or lower than the bispectrum algorithm for good seeing and few data frames, while the converse is true for many data frames and poor seeing.
In recent years, it is now well established that for the data like MRI images that admit the sparse representation in some transformed domain, Compressed Sensing (CS) approach is well suited for the accurate restorati...
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ISBN:
(纸本)9781538606155
In recent years, it is now well established that for the data like MRI images that admit the sparse representation in some transformed domain, Compressed Sensing (CS) approach is well suited for the accurate restoration tasks. Various analytical sparsifying transforms such as wavelets, finite differences and curvelets are used extensively in many CS methods. In this paper, a general framework for the adaptive learning of the sparsifying transform (dictionary) andreconstruction of the MR imagefrom undersampled k-space data simultaneously is proposed. Here, we also propose the supervised dictionary learning framework adapted to specific task of MR imagereconstruction and an efficient algorithm to solve the corresponding optimization problem. In this framework, overlapping image patches are used to exploit the local structure in the image to enforce the sparsity. Dictionary is trained using training images corresponding to particular class the given image belongs to. This results in better sparsities hence the higher undersampling rate. In this alternating reconstruction algorithm, firstly the sparsifying dictionary is learnt to remove aliasing effect and then restoring and filling of the k-space data is performed in the other step. Experiments are conducted on the brain MR imagedata set with different sampling methods. Results of these experiments show the improvement of around 2.5 dB in PSNR and improvement of around 0.1 in the HFEN value of the reconstructed image. Performance with various sampling schemes is evaluated and the results show that 2D variable density random undersampling scheme is best suited for the MRI application.
In traditional secret image sharing schemes, all the data of a secret image have to be processed, which prolongs the algorithm execution. Meanwhile, the inflated data become a burden for network transmission and disk ...
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ISBN:
(纸本)9781509044993
In traditional secret image sharing schemes, all the data of a secret image have to be processed, which prolongs the algorithm execution. Meanwhile, the inflated data become a burden for network transmission and disk storage when many secret images need to be routinely shared. Compressed sensing technology measures the original image perceptually through a proper measurement matrix, and the measured data cover the vast majority of the useful information of the original image. While ensuring precise reconstruction, the original image is compressed from high dimensional to low dimensional and the amount of imagedata decreases dramatically. Thus, a number of problems caused by the large amount of data in traditional secret image sharing schemes could be solved by compressed sensing. In this paper, we combine the traditional secret image sharing with compressed sensing technology and show through experiments that the proposed method can clearly reduce the amount of data need to be processed and effectively shorten the algorithm execution time. The experimental results reveal that our method can shorten the image sharing time by 2.7% to 57.3% and the image restoration time by 3.3% to 57.7% under different compression ratios.
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