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conference on image reconstruction from incomplete data iv

作者： Anastasio, Mark A. Shi, Daxin IIT Dept Biomed Engn Chicago IL 60616 USA

ISBN: (纸本)0819463957

Diffraction tomography (DT) is an established imaging technique for use with diffracting wavefields, which represents a generalized form of x-ray tomography. In this work, we revisit the three-dimensional reconstruction problem of DT for variable density acoustic media. Novel reconstruction algorithms are developed for reconstructing separate images that depict a weakly scattering object's compressibility and density variations. If tomographic measurement data are acquired at four distinct temporal frequencies, we demonstrate that the effects of object dispersion can be accounted for completely by use of analytic reconstruction formulas. Computer-simulation studies are conducted to demonstrate the developed image reconstruction methods.

关键词： ultrasound tomography acoustic dispersion diffraction tomography image reconstruction

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3-D reconstruction OF OBJECTS from incomplete data AND A-PRIORI KNOWLEDGE.

NATO Conference Series, (Series) 4: Marine Sciences

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NATO conference Series, (Series) 4: Marine Sciences 1980年 1卷 393-395页

作者： Tsikos, Constantinos J. Bajcsy, Ruzena K.

The authors are interested in the reconstruction of 3-D objects from various sources of incomplete data as well as apriori knowledge about the object under reconstruction. As data sources use is made of conventional Xray projections as well as CAT scans perpendicular to the Xray planes. These data sources were chosen because they are complementary to each other, in the sense that information not found in one set can be found in the other.

关键词： image PROCESSING

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Analysis and modelling of substitution disorder in the myosin lattice of vertebrate muscle

Analysis and modelling of substitution disorder in the myosi...

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conference on image reconstruction from incomplete data iv

作者： Millane, R. P. Yoon, C. H. Blakeley, N. D. Goyal, A. Univ Canterbury Dept Elect & Comp Engn Computat Imaging Grp Private Bag 4800 Christchurch 1 New Zealand

ISBN: (纸本)0819463957

Myosin filaments are important components of striated muscle and pack in a semi-ordered, two-dimensional array. The array can be imaged by electron microscopy of thin cross-sections which indicates, for many species, that the filaments adopt two orientations that are distributed with short-ranging order. We describe analysis and modelling of this substitution disorder based on the micrographs and an Ising model.

关键词： image analysis electron micrograph lattice disorder myosin muscle Ising model

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Restoration of nonuniformly warped images using accurate frame by frame shiftmap accumulation

Restoration of nonuniformly warped images using accurate fra...

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conference on image reconstruction from incomplete data iv

作者： Tahtali, Murat Lambert, Andrew J. Fraser, Don UNSW Sch Aerosp Civil & Mech Eng ADFA Canberra ACT Australia UNSW Sch Informat Technol & Elect Engn ADFA Canberra ACT Australia

ISBN: (纸本)0819463957

When imaging through the atmosphere, the resulting image contains not only the desired scene, but also the adverse effects of all the turbulent air mass between the camera and the scene. These effects are viewed as a combination of non-uniform blurring and random shifting of each point in the received short-exposure image. Corrections for both aspects of this combined distortion have been tackled reasonably successfully by previous efforts. A potentially more robust method of restoring the geometry is presented, which is also better suited to real-time implementation. The improvements were achieved by replacing the concept of prototype frame with the sequential registration of each frame with its nearest neighbour and the accurate accumulation of shiftmaps from any one frame to another without redundant calculations.

关键词： adaptive optics image registration image restoration

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Generalized support constraint for three-dimensional reconstruction from incomplete Fourier spectra

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JOURNAL OF ELECTRONIC IMAGING 1997年第4期6卷 426-438页

作者： Payot, E Preteux, FJ Trousset, Y Guillemaud, R CEA LETI DSYS F-38054 Grenoble 9 France Inst Natl Telecommun F-91011 Evry France G E Med Syst F-78533 Buc France

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 reconstruction from 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 reconstruction from 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.

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Dictionary Learning from incomplete data for Efficient image Restoration 25

Dictionary Learning from Incomplete Data for Efficient Image...

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25th European Signal Processing conference (EUSIPCO)

作者： Naumova, Valeriya Schnass, Karin Simula Res Lab Sect Comp & Software Martin Linges 25 Fornebu Norway Univ Innsbruck Dept Math Technikerstr 13 A-6020 Innsbruck Austria

ISBN: (纸本)9780992862671

In real-world image processing applications, the data is high dimensional but the amount of high-quality data needed to train the model is very limited. In this paper, we demonstrate applicability of a recently presented method for dictionary learning from incomplete data, the so-called Iterative Thresholding and K residual Means for Masked data, to deal with high-dimensional data in an efficient way. In particular, the proposed algorithm incorporates a corruption model directly at the dictionary learning stage, also enabling reconstruction of the low-rank component again from corrupted signals. These modifications circumvent some difficulties associated with the efficient dictionary learning procedure in the presence of limited or incomplete data. We choose an image inpainting problem as a guiding example, and further propose a procedure for automatic detection and reconstruction of the low-rank component from incomplete data and adaptive parameter selection for the sparse image reconstruction. We benchmark the efficacy and efficiency of our algorithm in terms of computing time and accuracy on colour, 3D medical, and hyperspectral images by comparing it to its dictionary learning counterparts.

关键词： image reconstruction

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image reconstruction using symmetry

Image reconstruction using symmetry

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conference on image reconstruction from incomplete data VI

作者： Lo, V. L. Millane, R. P. Univ Canterbury Dept Elect & Comp Engn Computat Imaging Grp Christchurch 1 New Zealand

ISBN: (纸本)9780819482969

Symmetry provides a source of redundancy which can be exploited in image reconstruction. In particular, internal symmetries in molecules can help to compensate for the loss of Fourier phase information in macromolecular x-ray crystallography. Symmetry projections are incorporated into iterative projection algorithms for reconstruction of macromolecular electron densities from x-ray diffraction amplitudes from crystals. The effects of interpolation are studied and the algorithms are applied to reconstruction of an icosahedral virus.

关键词： image reconstruction symmetry x-ray crystallography phase retrieval

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The optimal reconstruction from blurred and nonuniformly sampled data based on the optimum discrete approximation minimizing various worst-case measures of error

The optimal reconstruction from blurred and nonuniformly sam...

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conference on image reconstruction from incomplete data iv

作者： Kida, Yuichi Kida, Takuro Ohu Univ Dept Pharm Koriyama Fukushima 9638611 Japan Nihon Univ Dept Elect & Elect Engn Koriyama Fukushima 9638642 Japan

ISBN: (纸本)0819463957

Extended interpolatory approximation is discussed for some classes of n-dimensional vector signals. Firstly, we present two sufficient conditions of the optimum approximation and prove that the proposed optimum approximation using fixed finite number of sample values satisfies these two conditions. Secondly, we discuss the optimum running approximation of n-dimensional time-limited vector signals based on a certain one-to-one correspondence between a vector signal and the corresponding vector error signal of approximation. The proposed optimum approximation has the minimum measure of error among almost all the linear and the nonlinear approximations using the same measure of error and generalized sample values. Note that the proposed optimum approximation can be realized by flexible FIR filter bank. The term "flexible" means that we can widely choose the number of paths and frequency response of time-invariant FIR analysis filters. Moreover, we can use sample points that are distributed on an arbitrary periodical pattern.

关键词： digital signal processing interpolation approximation the optimum approximation filter bank

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Research on improved image reconstruction algorithms of OCT based on incomplete projection data - art. no. 68321H

Research on improved image reconstruction algorithms of OCT ...

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conference on Holography and Diffractive Optics III

作者： Tang, Xiaochun Gao, Yiqing Nanchang Hangkong Univ Minist Educ China Key Lab Nondestruct Test Nanchang 330063 Jiangxi Peoples R China

ISBN: (纸本)9780819470072

In order to improve the quality and solve the problem of low speed of image reconstruction in the traditional optical computerized tomography (OCT) when the data acquired is incomplete projection, the multiple constrained of genetic algorithm based on algebraic iterative was proposed. Generally speaking, under the condition of multiple-objective optimization, the common extreme point for all the objective functions doesn't exist. So we can achieve the preferable compromise in the contradictions of multiple objectives. In this article, there are three constrained conditions. The first one is the maximum entropy criterion which is used mostly to solve the problem of OCT image reconstruction when the data acquired is incomplete projection recently. The second one is the minimum criteria of peak value which is introduced to suppress noise effectively and ensure the gliding property of the image reconstruction, because of the first one leading to noise amplification during the iterative process. The last constrained condition is the minimum criteria of the difference between the projection again of image reconstruction and the original projection. The concept of penalize-function is introduced into the genetic algorithm, which would transform the constrained optimization problem to unconstrained. It is clearly demonstrated from the experiment results that the algorithm reconstruction technique can efficiently improve the quality of images reconstruction of the incomplete projection data.

关键词： incomplete projection data image reconstruction multiple constrained genetic algorithm

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Statistically optimal image reconstruction for multi-detector intensity diffraction tomography

Statistically optimal image reconstruction for multi-detecto...

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image reconstruction from incomplete data iv

作者： Huang, Yin Anastasio, Mark A. Department of Biomedical Engineering Illinois Institute of Technology Chicago IL 60616

ISBN: (纸本)0819463957

Intensity diffraction tomography (I-DT) is an in-line holographic imaging method for reconstructing the three-dimensional complex refractive index distribution of a weakly scattering object. Because it circumvents the phase retrieval problem of diffraction tomography, I-DT reconstruction methods may benefit a range of imaging problems involving optical and coherent X-ray radiation. In this work, we investigate the use of statistically complementary data, provided by multiple (> 2) in-line intensity measurements, for effective suppression of image noise in I-DT. The noise properties of the reconstructed images are demonstrated to depend strongly on the specification of measurement geometry. The effects of experimental uncertainties on the performance of I-DT is investigated also. Computer-simulation studies that are representative of a tomographic microscopy implementation of I-DT are presented.

关键词： image reconstruction

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