{"title":"Suppressing Sidelobe Artifacts in Microwave Images of Undersampled Radiation Fields","authors":"H. Subbaram, B. Steinberg","doi":"10.1364/srs.1986.fd3","DOIUrl":"https://doi.org/10.1364/srs.1986.fd3","url":null,"abstract":"Microwave images of coherent targets obtained by using thinned random arrays will contain huge sidelobe artifacts. We present a method for suppressing these artifacts.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"abs/2206.03047 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":"126863155","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}
{"title":"Reconstruction of Multidimensional Signals from Zero Crossings*","authors":"S. Curtis, A. Oppenheim","doi":"10.1364/JOSAA.4.000221","DOIUrl":"https://doi.org/10.1364/JOSAA.4.000221","url":null,"abstract":"We present theoretical and experimental results showing that it is possible to reconstruct a broad class of multidimensional signals from only zero crossing information.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"18 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":"121474275","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}
{"title":"Super-Resolution and Signal Recovery Using Models of Neural Networks","authors":"N. Farhat, Sunji Miyahara","doi":"10.1364/srs.1986.fb4","DOIUrl":"https://doi.org/10.1364/srs.1986.fb4","url":null,"abstract":"Content addressable memory (CAM) based on models of neural networks [1], [2], offer capabilities that are useful in information processing, signal recovery, and pattern recognition. These include speed (stemming from their inherent parallelism and massive interconnectivity), robustness (stemming from their fault tolerant and soft-fail nature) and most significantly, relative to the subject matter of this meeting, their ability to recognize a partial input i.e., when the initializing input is an incomplete version of one of the stored entities. The latter two features are in fact synonymous with the realization of super-resolution where a function is recovered from a noisy or imperfect part. These attractive features are traceable to the highly nonlinear and iterative nature of feedback employed in such CAMs.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"697 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":"122983459","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}
{"title":"Iterative Synthesis of Distortion Invariant Optical Correlation Filters","authors":"G. F. Schils, D. Sweeney","doi":"10.1364/srs.1986.wb3","DOIUrl":"https://doi.org/10.1364/srs.1986.wb3","url":null,"abstract":"An iterative technique can be used to synthesize pattern recognition filters that are invariant to image distortions. These distortions might be position (location), rotation, scale, and perspective. The image to detect may also appear at different intensities. In this paper, we present an iterative technique based on spectral iteration in angular Fourier space for the synthesis of rotationally, translationally, and intensity invariant optical pattern recognition filters. The iterative method allows full image information to be retained while simultaneously obtaining invariance to rotation and image location. The general method presented may be extended to synthesize filters with invariances to additional distortions.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"14 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":"132013429","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}
{"title":"Factorizing Entire Functions of Exponential Type","authors":"W. Lawton, J. Morrison","doi":"10.1364/srs.1986.thb2","DOIUrl":"https://doi.org/10.1364/srs.1986.thb2","url":null,"abstract":"The nonlinear problem of factorizing a distribution having compact planar support as a convolution product given possible a priori information about the factors includes the problems of blind deconvolution and signal recovery from magnitude. By the Paley-Wiener-Schwartz theorem [1, p. 390] this problem is equivalent to factorizing entire functions of exponential type. Moreover, typical a priori information about the convolution factors can be equivalently specified in terms of the corresponding entire function. For example, Bochner’s theorem [1, p. 715] implies the correspondence between positive measures and positive definite functions and the Plancherel-Polya theorem [2, p. 353] together with the result in [3, p. 7] implies that the convex closure of the support of a distribution having compact planar support is completely characterized by the growth rate, in various directions, of the corresponding entire function.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"92 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":"132850142","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}
{"title":"Stability Conditions in Image Reconstruction: a New Regularization Principle","authors":"A. Lannes, M. Casanove, S. Roques","doi":"10.1364/srs.1986.fb1","DOIUrl":"https://doi.org/10.1364/srs.1986.fb1","url":null,"abstract":"Owing to systematic and noise-type errors, the inverse problems of Image Reconstruction prove to be unstable (see for instance [1]). To cope with these ill-conditioned situations, we therefore have to develop appropriate regularization methods. The problem is to choose a regularization principle ensuring the stability of the restoration procedures. Intuitively, it is clear that we have to find a compromise between resolution and robustness. It is therefore natural to devise a stabilization principle involving the notion of resolution explicitly. As specified at the end of this paper, this is not the case, in particular, for the regularization principle introduced by Tihonov. In other respects, it must be possible to select the stabilization parameters before setting the reconstruction process in motion. In this context, we have devised and implemented a new method for Partial Deconvolution with Support Constraint. The aim of this communication is to give a survey of the corresponding interactive procedure. For clarity we restrict ourselves to the special case of Band-Limited Extrapolation [1]; the generalization to Partial Deconvolution is straightforward.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"72 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":"116010547","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}
{"title":"Phase Diversity","authors":"R. Gonsalves","doi":"10.1364/srs.1986.thb1","DOIUrl":"https://doi.org/10.1364/srs.1986.thb1","url":null,"abstract":"Phase diversity [1] implies that an image is measured through two or more phase \"channels\". The primary channel uses an adaptive optical system which attempts to remove phase distortions. The secondary channel introduces phase diversity by adding a known phase aberration to the adaptive optical system. In the simplest form of phase diversity the image plane is displaced, which introduces a quadratic phase into the optical path. The two outputs might be recorded simultaneously by using two focal planes; or they might be recorded sequentially, in which case the time lapse must be small enough that the primary channel's state is unchanged for the second measurement.","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":"115416299","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}
{"title":"ILL-Posedness and Precision in Object Field Reconstruction Problems","authors":"W. Root","doi":"10.1364/JOSAA.4.000171","DOIUrl":"https://doi.org/10.1364/JOSAA.4.000171","url":null,"abstract":"We suppose σ(x), called the object field, is an unknown real or\u0000 complex-valued function on a set E. Our knowledge of σ is given by\u0000 observation, with some (small) error, of a real or complex-valued\u0000 function s(ξ) given by \u0000\u0000 \u0000 s(ξ)=[Bσ](ξ)=∫\u0000 E\u0000 b(ξ,x)σ(x)dx, σ ε F\u0000 \u0000\u0000 The sets E,F are subsets of Rn,\u0000 where normally n=1,2,3. It is desired to determine σ(x) as well as\u0000 possible; the result of this determination is denoted \u0000 σ^(x)\u0000 (in ideal circumstances σ^(x)=σ(x))\u0000 and is called an estimate of σ (the word estimate may or may not have\u0000 a statistical implication). An inversion problem is determined when\u0000 the following are specified: (1) the kernel b(ξ,x) of the integral\u0000 operator; (2) the region E on which σ(x) is defined; (3) the region F\u0000 over which the observation is made; (4) the set ∑ of functions σ that\u0000 are allowed. It is assumed that the situation is such that σ ε\u0000 L2 (E) (the space of square-integrable functions on E) and\u0000 s ε L2 (F). If ∑ is all of L2 (E), the problem\u0000 is an unconstrained linear inversion; if ∑ is not all of L2\u0000 (E) (∑ may be linear or nonlinear) it is a constrained linear\u0000 inversion.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"34 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":"115698840","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}
{"title":"Phase Retrieval Algorithm Using a Convolution Based Hilbert Space","authors":"A. Cetin, R. Ansari","doi":"10.1364/srs.1986.pd2","DOIUrl":"https://doi.org/10.1364/srs.1986.pd2","url":null,"abstract":"A phase retrieval algorithm using the method of projection onto convex sets (POCS) [1,2] in a new Hilbert Space framework which is based on convolution is described. In this space, the set of sequences with a prescribed Fourier Transform magnitude constitute a closed convex set, which is not true in (or L2) Hilbert space. This property of the constraints ensures convergence in the POCS method. Examples of phase retrieval for 2-D sequences are presented.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"126 16 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":"128024683","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}
{"title":"A New Algorithm for Closed Form Image Reconstruction from Fourier Transform Magnitude1","authors":"D. Izraelevitz, J. S. Lim","doi":"10.1364/srs.1986.thb3","DOIUrl":"https://doi.org/10.1364/srs.1986.thb3","url":null,"abstract":"Signal reconstruction from Fourier transform magnitude (FTM) has been the topic of much interest in the literature [1,2,3,4]. It has been recently shown that if the support of the image is known, then most images can be reconstructed from knowledge of only its FTM modulo a rotation by 180 degrees and a sign change [2].","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"192 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":"131741018","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}