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Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints最新文献

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Speckle Interferometry Image Reconstruction Techniques Proceeding from the Phase of the Fourier Transform 从傅里叶变换相位出发的散斑干涉图像重建技术
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.tha7
Y. Bruck, L. Sodin
{"title":"Speckle Interferometry Image Reconstruction Techniques Proceeding from the Phase of the Fourier Transform","authors":"Y. Bruck, L. Sodin","doi":"10.1364/srs.1983.tha7","DOIUrl":"https://doi.org/10.1364/srs.1983.tha7","url":null,"abstract":"The familiar methods of image reconstruction employed in the speckle interferometry require measurements of both the transfer function modulus [1] and phase [2] with the aid of a reference point object. In case the scattering is isotropic, the phase can be measured with a better accuracy than the modulus which makes suggestive image reconstruction from the phase alone. Hayes et al. [3] and Bruck and Sodin [4] have put forward techniques for reconstructing one- and two-dimensional images from either exact [3] or approximate [4] knowledge of the phase. In this paper we suggest reconstruction algorithms for those cases where the spectrum phase is known to a limited accuracy and no data exist as to the size and position of the image. Considered are the uniqueness and accuracy of the reconstruction, and image identification.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"185 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134118803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On an iterative algorithm for stabilised object restoration from limited spectral data 有限光谱数据稳定目标恢复的迭代算法
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa17
J. Abbiss, C. De Mol, H. Dhadwal
{"title":"On an iterative algorithm for stabilised object restoration from limited spectral data","authors":"J. Abbiss, C. De Mol, H. Dhadwal","doi":"10.1364/srs.1983.wa17","DOIUrl":"https://doi.org/10.1364/srs.1983.wa17","url":null,"abstract":"We analyse the problem of object restoration in the presence of noise, when the coherent image is formed by a space-invariant system consisting of a one-dimensional clear pupil extending over (−Ω, Ω). If the object distribution f(x) lies between −X and +X, the noiseless image \u0000g¯(y) formed by such a system would be given by the equation (1) In Fourier space, the solution to this equation is equivalent to infinite extrapolation of the truncated spectrum.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"191 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133396073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimation of Two Closely Spaced Frequencies Buried in White Noise Using Linear Programming 用线性规划估计埋在白噪声中的两个紧密间隔频率
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa18
J. Keybl, G. Eichmann
{"title":"Estimation of Two Closely Spaced Frequencies Buried in White Noise Using Linear Programming","authors":"J. Keybl, G. Eichmann","doi":"10.1364/srs.1983.wa18","DOIUrl":"https://doi.org/10.1364/srs.1983.wa18","url":null,"abstract":"Linear programming is used to estimate the spectrum of two sinusoids signals closely-spaced in frequency buried in deep white gaussian noise by employing a-priori knowledge of the spectrum. The method will be illustrated by a number of examples.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134525273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Detection of Line Spectra and Point Sources 线光谱和点源的检测
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa12
A. Papoulis
{"title":"Detection of Line Spectra and Point Sources","authors":"A. Papoulis","doi":"10.1364/srs.1983.wa12","DOIUrl":"https://doi.org/10.1364/srs.1983.wa12","url":null,"abstract":"The problem of detecting an object consisting of point sources in a noisy environment in terms of a single sample of a diffraction limited image is considered. The proposed method in its simplest form can be phrased as follows.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120936694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A technique for the calculation of the global extremum of a function of several variables 一种计算多变量函数的全局极值的技术
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.tha21
C. Slump, B. Hoenders
{"title":"A technique for the calculation of the global extremum of a function of several variables","authors":"C. Slump, B. Hoenders","doi":"10.1364/srs.1983.tha21","DOIUrl":"https://doi.org/10.1364/srs.1983.tha21","url":null,"abstract":"The determination of the global extremum of a function is a notorious numerical problem when there are local extrema present. The numerical algorithm which has to determine the global extremum iteratively is in this case very likely to produce a local extremum in the neighborhood of the initial guess of the solution. Moreover, usually one cannot be sure not to have missed an extremum, i.e. various procedures together with various initial values might still overlook the global extremum.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123625279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Phase-retrieval Technique in Pupil Synthesis 瞳孔合成中的相位恢复技术
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.tha13
P. Kiedron
{"title":"A Phase-retrieval Technique in Pupil Synthesis","authors":"P. Kiedron","doi":"10.1364/srs.1983.tha13","DOIUrl":"https://doi.org/10.1364/srs.1983.tha13","url":null,"abstract":"The pupil function of an incoherent system is not defined uniquely by the incoherent transfer function [1]. This fact creates a phase-retrieval problem when the aberration function has to be determined from an intensity measurement. The phase and amplitude of the pupil function can be found from the point spread function only if additional information about the optical system is available. The information has a mathematical character if some constraints upon the class of admissible solutions are imposed. (See [2] and [3] where the class of phase functions is reduced to finite polynomials.) Another method assuring the uniqueness of the solution requires additional information of physical characteristics. (See [4], [5], [6], and [7] where the second measurement is postulated.)","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130162493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Retrieval and Synthesis Problems in Optics - An Overview 光学检索与合成问题综述
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa1
H. Baltes
{"title":"Retrieval and Synthesis Problems in Optics - An Overview","authors":"H. Baltes","doi":"10.1364/srs.1983.wa1","DOIUrl":"https://doi.org/10.1364/srs.1983.wa1","url":null,"abstract":"Motivations for studying inverse optical problems in the Central Laboratory of the Landis & Gyr Corporation are the encoding of information in diffracting or scattering structures tailored to purpose, the reading of such information using optical sources and detectors, and the retrieval of structural information in the presence of random scatterers (such as a rough surface), with emphasis on the automatic optical checking of identity or authenticity. One example of a product based on such procedures is the PHONOCARD currently being manufactured by Sodeco-Saia, a company of the Landis & Gyr group. The PHONOCARD is a pay telephone operated by pre-paid cards (see Fig. 1) with optically stored value units, whose authenticity is checked by an optical reading system.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129907013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Image Restoration by the Method of Projections onto Convex Sets 凸集投影法的图像恢复
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.wa8
M. Sezan
{"title":"Image Restoration by the Method of Projections onto Convex Sets","authors":"M. Sezan","doi":"10.1364/srs.1983.wa8","DOIUrl":"https://doi.org/10.1364/srs.1983.wa8","url":null,"abstract":"In this paper we use the method of projections onto convex sets (POCS) to restore an image for which only partial knowledge of the Fourier transform is available. A spectacular improvement over the Gerchberg-Papoulis restoration is observed when the number of iterations is small.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129956662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Deblurring and Three-Dimensional Reconstruction from Multiple Linear-Tomograms 多重线性层析图的去模糊和三维重建
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.fa10
S. Kawata, J. Sklansky
{"title":"Deblurring and Three-Dimensional Reconstruction from Multiple Linear-Tomograms","authors":"S. Kawata, J. Sklansky","doi":"10.1364/srs.1983.fa10","DOIUrl":"https://doi.org/10.1364/srs.1983.fa10","url":null,"abstract":"The image of the tomogram obtained by a conventional x-ray tomographic machine is degraded by the superposition of motion-blurred images of nonpivotal planes. We introduce a method to eliminate these blurred images from a tomogram. In this method a set of tomograms, each focused on one of a set of parallel planes, are combined to form a three-dimensional reconstruction of blur-free tomograms. This approach is equivalent to the inversion of a linear system. By a mathematical analysis of linear-motion tomography, we found that linear-motion tomography is restricted to angularly-limited frequency information. An iterative matrix inversion algorithm with the constraints of nonnegativity and finite-extent is applied to the reconstruction of the plane of interest from a set of tomograms.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126395368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Sufficient Condition for Phase Retrieval in Two Dimensions 二维相位恢复的一个充分条件
Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI: 10.1364/srs.1983.tha11
M. Fiddy, B. Brames, J. Dainty
{"title":"A Sufficient Condition for Phase Retrieval in Two Dimensions","authors":"M. Fiddy, B. Brames, J. Dainty","doi":"10.1364/srs.1983.tha11","DOIUrl":"https://doi.org/10.1364/srs.1983.tha11","url":null,"abstract":"Eisenstein's criterion for irreducibility is used to modify an object function, thus ensuring uniqueness of phase retrieval in two dimensions.","PeriodicalId":279385,"journal":{"name":"Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints","volume":"375 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124686821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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