发布求助
文献互助 智能选刊 最新文献

Topical Meeting On Signal Recovery and Synthesis II最新文献

筛选
英文 中文
Reconstruction of a Complex-Valued Field Using the Hilbert-Hankel Transform1 用Hilbert-Hankel变换重构复值域
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1986-01-01 DOI: 10.1364/srs.1986.fd1
M. Wengrovitz, A. Oppenheim, G. Frisk
{"title":"Reconstruction of a Complex-Valued Field Using the Hilbert-Hankel Transform1","authors":"M. Wengrovitz, A. Oppenheim, G. Frisk","doi":"10.1364/srs.1986.fd1","DOIUrl":"https://doi.org/10.1364/srs.1986.fd1","url":null,"abstract":"A well-known property in Fourier transform theory is that causality in one domain implies real-part sufficiency in the other domain. This property is the basis for the fact that the real and imaginary parts of a signal are related via the Hilbert transform, if the spectrum of the signal is causal. In wave propagation problems involving circular symmetry, it is the circularly symmetric two-dimensional Fourier transform, or equivalently the Hankel transform, which is of central importance. Because of the circular symmetry in such problems, the condition of causality is not applicable. However, in our work we have shown that under some circumstances, it is possible to relate the real and imaginary parts of a propagating field described by a Hankel transform. In this paper, an approximate real-part sufficiency condition for the Hankel transform is developed and an algorithm for reconstructing the real (or imaginary) component from the imaginary (or real) component is applied to synthetic and experimental underwater acoustic fields.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129151533","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
Direct Pulse Recording for Reconstruction of Bistatic Synthetic Aperture Radar Images 直接脉冲记录用于双基地合成孔径雷达图像重建
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.fd4
A. Gabriel, R. Goldstein
{"title":"Direct Pulse Recording for Reconstruction of Bistatic Synthetic Aperture Radar Images","authors":"A. Gabriel, R. Goldstein","doi":"10.1364/srs.1986.fd4","DOIUrl":"https://doi.org/10.1364/srs.1986.fd4","url":null,"abstract":"An imaging experiment was performed utilizing a synthetic aperture radar tansmitter on the space shuttle and a receiver on an airplane. Because of this \"bistatic\" geometry, focusing is considerably more difficult than in a conventional monastatic SAR. Because the transmitter and receiver are moving relative to each other, the phase history of any target in the scene depends on its location in both the along-track (azimuth) and the cross-track (range) directions, and focusing thus depends on location in the image. As a result, the image must be generated from a collection of separately focused sub-images.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","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":"116790874","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
Phase Retrieval: Algorithm Improvements, Uniqueness, and Complex Objects 相位检索:算法改进、唯一性和复杂对象
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.tha2
J. Fienup
{"title":"Phase Retrieval: Algorithm Improvements, Uniqueness, and Complex Objects","authors":"J. Fienup","doi":"10.1364/srs.1986.tha2","DOIUrl":"https://doi.org/10.1364/srs.1986.tha2","url":null,"abstract":"Since the first topical meeting on Signal Recovery and Synthesis [1], significant new developments have taken place in phase retrieval. Some of these are discussed in other papers in the Digest for this meeting, Signal Recovery and Synthesis II. In this paper we review recent developments in phase retrieval and image reconstruction that revolve around around the use of the iterative Fourier transform algorithm [2-4].","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"99 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":"129317500","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
A Simple Method for Superresolution 一种简单的超分辨方法
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.fa3
P. De Santis, F. Gori, G. Guattari, C. Palma
{"title":"A Simple Method for Superresolution","authors":"P. De Santis, F. Gori, G. Guattari, C. Palma","doi":"10.1364/srs.1986.fa3","DOIUrl":"https://doi.org/10.1364/srs.1986.fa3","url":null,"abstract":"Since the invention of superresolving pupils by Toraldo di Francia in 1952 [1] , superresolution has attracted the attention of many authors. As it is well known, the possibility of superresolution rests on some \"a priori\" information about the object. In the case of superresolving pupils, the only prior information is that the object has a finite extent. Elegant as they are from the theoretical point of view, the superresolving pupils [2] seem difficult to fabricate. As a matter of fact, rather severe tolerance conditions should be met in the fabrication and, to our knowledge, no practical superresolving pupil has been produced so far.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"23 8 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":"116375127","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 New Technique for Constrained Image Restoration by Compensating the PSF 一种补偿PSF的约束图像恢复新技术
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.wa4
E. Malaret, C. McGillem
{"title":"A New Technique for Constrained Image Restoration by Compensating the PSF","authors":"E. Malaret, C. McGillem","doi":"10.1364/srs.1986.wa4","DOIUrl":"https://doi.org/10.1364/srs.1986.wa4","url":null,"abstract":"The idea behind the method of constrained image restoration by compensating the point spread function (PSF) is to obtain a restoration filter such that when it is convolved with the PSF the resulting function, called the composite point spread function (CPSF), satisfies appropriate optimization criteria. Ideally it would be desirable to obtain a CPSF that is a delta function; i.e., the restoration filter would be the inverse filter. However this is not possible due to the instability and serious noise amplification of such filters. Stable filters using this approach can be obtained by minimizing an appropriate width measure while constraining the output noise power [1-3]. There are significant advantages in using this method for image (or signal) restoration over other commonly employed procedures. First, the restoration operator can be constrained to a specific size, thereby controlling the duration of transients due to edge effects and reducing the computational burden. Second, the procedure is not dependent on statistics of the image but only on the sensor PSF, the noise, and the sampling grid. Third, for image enhancement it is possible to combine the interpolation and deconvolution procedures into a single operation, thereby increasing the speed and efficiency of the processing.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"118 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":"116375946","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
Phase Retrieval for Discrete Functions with Support Constraints: Summary 具有支持约束的离散函数的相位检索:综述
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/JOSAA.4.000124
T. Crimmins
{"title":"Phase Retrieval for Discrete Functions with Support Constraints: Summary","authors":"T. Crimmins","doi":"10.1364/JOSAA.4.000124","DOIUrl":"https://doi.org/10.1364/JOSAA.4.000124","url":null,"abstract":"The phase retrieval problem, i.e., the problem of reconstructing a function from its Fourier modulus or, equivalently, from its autocorrelation function, arises in many fields, e.g., astronomy, wave-front sensing, X-ray crystallography, electron microscopy, particle scattering and pupil-function determination. Here we consider the case in which the object function is assumed to be defined on a two-dimensional discrete grid of sample points.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","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":"127667591","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: 29
Error Lower Bound for Phase Retrieval 相位检索的错误下界
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.thc1
J. Cederquist
{"title":"Error Lower Bound for Phase Retrieval","authors":"J. Cederquist","doi":"10.1364/srs.1986.thc1","DOIUrl":"https://doi.org/10.1364/srs.1986.thc1","url":null,"abstract":"In phase retrieval problems, it is desired to estimate the phase of the Fourier transform of an object given measurements of the modulus (square root of intensity) of the Fourier transform. This is equivalent to estimating the object itself because of the Fourier transform relationship. Several iterative Fourier transform algorithms have had great success in making such object estimates from Fourier magnitude data and object constraint information [1,2]. However, other than through empirical results [3], it has not been known how the error in the object estimate depends on measurement noise, constraint information, and other parameters describing the problem.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"57 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":"134065962","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
A Cellular Automata Method for Phase Unwrapping 相位展开的元胞自动机方法
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/JOSAA.4.000267
D. Ghiglia, G. Mastin, L. Romero
{"title":"A Cellular Automata Method for Phase Unwrapping","authors":"D. Ghiglia, G. Mastin, L. Romero","doi":"10.1364/JOSAA.4.000267","DOIUrl":"https://doi.org/10.1364/JOSAA.4.000267","url":null,"abstract":"Cellular automata are simple, discrete mathematical systems that can exhibit complex behavior resulting from collective effects of a large number of cells, each of which evolve in discrete time steps according to rather simple local neighborhood rules.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"19 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131726235","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: 302
Exploring the Irreducible Support 探索不可约支持
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.thc3
B. Brames
{"title":"Exploring the Irreducible Support","authors":"B. Brames","doi":"10.1364/srs.1986.thc3","DOIUrl":"https://doi.org/10.1364/srs.1986.thc3","url":null,"abstract":"The phase problem confronts one with the task obtaining a function having a specified autocorrelation (or Fourier modulus) which is also consistent with a limited number of object constraints. In many case of interest it is known that the object has compact support; indeed, in two dimensions this is often sufficient to uniquely define it [1]. Nonetheless, one can usually find an autocorrelation such that some object defined on the same compact support is but one of a multitude of functions having that autocorrelation. However, if the object happens to be defined on Eisenstein's support, it has been shown that the object is always uniquely described by its autocorrelation [2]. We shall call supports of the Eisenstein-type irreducible supports. Unfortunately, variations on Eisenstein's support are the only ones to have been shown to be irreducible, and the method of proof for Eisenstein's support does not lend itself to ready generalization. Herein the irreducible support will be defined in a wider sense, and a method of testing an arbitrary convex support for irreducibility will be presented.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"21 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":"115639645","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
Two dimensional image restoration using Linear Programming 二维图像的线性恢复
Topical Meeting On Signal Recovery and Synthesis II Pub Date : 1900-01-01 DOI: 10.1364/srs.1986.wa3
R. Mammone, R. Rothacker
{"title":"Two dimensional image restoration using Linear Programming","authors":"R. Mammone, R. Rothacker","doi":"10.1364/srs.1986.wa3","DOIUrl":"https://doi.org/10.1364/srs.1986.wa3","url":null,"abstract":"In this paper we address the issues involved in implementing the Linear Programming (LP) method of image restoration in two dimensions. A modified pivot strategy is introduced in order to reduce the number of iterations. This approach is necessary due to the number of arithmetic operations required per iteration for two dimensional data. We shall also discuss the effects of additive noise, such as that due to quantization. The effects of noise on the performance of restorations with both separable and nonseparable degradations will be presented. The performance of the LP approach has previously been seen to show a preference for sparse images C13, i.e. images with many zero valued pixels. This preference is also found in the two dimensional case. The error in the LP restored image is shown to be less for sparse images than it is for dense images with the same signal-to-noise ratio (SNR). Linear Programming, despite its name, is nonlinear. That is, the LP solution of the sum of two images is not necessarily the sum of the two solutions obtained for each image separately. The LP method also allows for inequality as well as equality constraints to be imposed on the solution. The advantage in performance of the constrained nonlinear approach taken here over linear non-constrained methods is also demonstrated. This is accompli shed by illustrating the pseudo-inverse solution for each LP restoration. The pseudo-inverse method represents the optimal non-constrained linear restoration.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","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":"129089433","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信