{"title":"A Proposal of Generalized Analytic Reconstruction from Discrete Samples (GARDS)","authors":"N. Ohyama, H. Barrett","doi":"10.1364/srs.1992.wd4","DOIUrl":"https://doi.org/10.1364/srs.1992.wd4","url":null,"abstract":"In both image reconstruction and restoration fields many methods have been reported or proposed so far, and they contribute a lot to the research development. Although these image processing techniques deal with continuous objects and start with discretely sampled data, there has not been developed a complete model which can well represent a continuous-discrete relation. This continuous-discrete relation means that the object space is defined as continuous, while the observation space is discrete. So, we call this relation a C-D mapping in this paper. Using this expression, it can said that conventional methods developed in image processing fields are essentially based on either C-C or D-D mapping.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"151 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":"116543117","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 Approaches Applied to the Hubble Space Telescope","authors":"J. Fienup","doi":"10.1364/srs.1992.tua1","DOIUrl":"https://doi.org/10.1364/srs.1992.tua1","url":null,"abstract":"Soon after launch it was discovered that the Hubble Space Telescope suffers from a large amount of spherical aberration which blurs the images it produces and reduces their contrast. It is important to very accurately determine those aberrations (phase errors) in order to (1) design correction optics which, when installed in the telescope, will compensate for the aberration, (2) compute point-spread functions (PSFs) which can be used to deblur the degraded images received until the correction optics are installed, and (3) align the secondary mirror of the Optical Telescope Assembly (OTA—the main telescope).","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"140 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":"127214339","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}
Douglas B. Rider, D. Voelz, J. Gonglewski, K. Bush
{"title":"Imaging Correlography Using an Inverse Synthetic Aperture","authors":"Douglas B. Rider, D. Voelz, J. Gonglewski, K. Bush","doi":"10.1364/srs.1992.wa3","DOIUrl":"https://doi.org/10.1364/srs.1992.wa3","url":null,"abstract":"Imaging correlography is a technique for recovering images of coherently illuminated objects from pupil plane measurements of the backscattered laser-speckle intensity.1 In this paper, we describe the implementation of the imaging correlography technique using a one-dimensional (linear) receiver array. Two-dimensional images are reconstructed from intensity data that is collected and processed in the form of an inverse synthetic aperture. The synthetic aperture is produced by the motion of the object (with respect to the receiver) which causes the backscattered intensity pattern to “sweep” across the linear array.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","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":"126204861","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":"Non-iterative Phase Recovery from Two Diffraction Plane Intensities","authors":"M. Maleki, A. Devaney","doi":"10.1364/srs.1992.wb3","DOIUrl":"https://doi.org/10.1364/srs.1992.wb3","url":null,"abstract":"Most algorithms for phase retrieval from two intensities are based on the iterative method first introduced by Gerchberg and Saxton [1] for recovering the phase of a field from aperture and diffraction plane intensities. Misell [2] generalized this algorithm to be used with intensities on any two planes related by a unitary operator, and later Wang et. al. [3] extended the iterative algorithm to the case of non-unitary operators. Non-iterative methods based on zero-location in the complex plane [4] and use of an exponential filter [5] as well as “tree pruning” methods [6] have also been proposed.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"35 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":"132641213","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":"Approximating Fourier Phase Values Using Zero Locations","authors":"C. Wackerman, A. Yagle","doi":"10.1364/srs.1992.tud2","DOIUrl":"https://doi.org/10.1364/srs.1992.tud2","url":null,"abstract":"The existence of linear zeros in the Fourier domain (locations where the real part and the imaginary part of the Fourier transform are simultaneously zero and both go through the zero linearly) has a tremendous impact on the value of the Fourier phase throughout the frequency plane. Branch cuts in the wrapped Fourier phase (curves along which the phase abruptly changes from −π to π) provide most of the visual information when examining an image of the phase values, and they must stop and start at linear zeros.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"63 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":"132333609","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":"Direct Inversion of Fourier Intensities with Application in Crystallography","authors":"R. Harrison","doi":"10.1364/srs.1992.tuc2","DOIUrl":"https://doi.org/10.1364/srs.1992.tuc2","url":null,"abstract":"In crystallography it is only possible to observe the Fourier intensities in a single diffraction experiment. There are a number of experimental methods to determine the phases, and for small molecules phase probablility methods (Direct Methods) work very well. The generic problem of inverting the intensities is considered difficult. Since the autocorrelation function (the Patterson function), can be calculated directly from the observed data, and is a quadratic function of the electron density (image intensity) it should be possible to construct an optimizer which will solve the autocorrelation function and thence the crystal structure. Since it is possible to express the autocorrelation function as a perfect square in a permutation number system this is a convex (or nearly convex) optimization problem. In principle a Newton's method root finder is all that is needed, but both the relatively poor quality of even good diffraction data and the potential singularities in the root finder prevent such a simple solution. Stronger optimizers and a statistical treatment of the errors in the data lead, sometimes, to the solution of real structures.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"212 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":"114849438","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":"Image Recovery from Atmospherically Degraded Images with Unknown Point-Spread Functions","authors":"T. Schulz","doi":"10.1364/srs.1992.wa2","DOIUrl":"https://doi.org/10.1364/srs.1992.wa2","url":null,"abstract":"It is well known that, whereas atmospheric turbulence severely limits the effective resolution of a long-integration image obtained by a ground-based telescope, short exposure images retain diffraction-limited information. Since this fact was first pointed out by Labeyrie1, a variety of imaging techniques have been proposed. Correlation-based techniques – Laberyie’s method1, triple-correlation2,3, Knox- Thompson4 – all recover diffraction-limited information about the observed object. For each of these techniques, a phase-retrieval problem must be solved to obtain an estimate of the object. In addition, a reference point-source must be available to correct for atmospheric seeing. A brief review of these techniques is found in the book chapter by Dainty and Fienup5.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"77 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":"125519350","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":"An Analysis of Regularized Linear Image Recovery","authors":"N. Galatsanos, A. Katsaggelos","doi":"10.1364/srs.1992.wc2","DOIUrl":"https://doi.org/10.1364/srs.1992.wc2","url":null,"abstract":"In many applications that necessitate image recovery the imaging system can be modeled as a convolution of the original image with an ill-posed operator and then adding noise. We assume that the M×M original image is blurred by a space-invariant convolution operator and independent identically distributed (i.i.d.) zero mean additive noise described by the model where H is a M2×M2 Toeplitz matrix modeling the space-invariant blur, the vectors g, f, and n are M2×1 lexicographic orders of the degraded observed image, the original image and the noise, respectively.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"27 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":"114273028","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 Complex Transmittance Distribution from Phase-Contrast Images","authors":"S. Kawata, T. Noda","doi":"10.1364/srs.1992.wb1","DOIUrl":"https://doi.org/10.1364/srs.1992.wb1","url":null,"abstract":"An optical phase-contrast microscope1 converts the phase variation of light modulated by the refractive index variation of a sample into an intensity image For transparent biological samples, this microscope is in particular useful because it can visualize the sample structure without dye staining but as the sample are alive. However, if the sample has an absorption distribution in space, the image observed with a phase-contrast microscope no longer represents the refractive-index variation of the sample. The image generated by the absorption distribution overlaps the phase-contrast image.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"106 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":"114981859","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":"Electromagnetic Inverse Scattering In Remote Sensing","authors":"J. Xia, J. Kong","doi":"10.1364/srs.1992.tub1","DOIUrl":"https://doi.org/10.1364/srs.1992.tub1","url":null,"abstract":"Inverting the physical parameters which usually appear as inhomogeneous profiles from measurements has been a challenging task for the remote sensing community. Due to complexity of the media, the forward problem in remote sensing of forest, vegetation and sea ice, typically in random media, has attracted researchers’ efforts in the past two decades. Techniques which serve the ultimate goal of solving the inverse problem have also evolved and entered into a practical stage.","PeriodicalId":300704,"journal":{"name":"Signal Recovery and Synthesis IV","volume":"102 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":"121975858","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}