{"title":"Spatially Constrained 3-D Reconstruction from Limited-Angle Projections in Optical Microscope Tomography","authors":"S. Kawata, O. Nakamura, S. Minami","doi":"10.1364/srs.1986.thd4","DOIUrl":"https://doi.org/10.1364/srs.1986.thd4","url":null,"abstract":"In earlier work, we invented a principle of optical microscope tomography and developed a prototype system to achieve tomographic microscope imaging of three-dimensional specimens [1,2]. In this paper we describe the principle of optical microscope tomography and the algorithm to reconstruct the 3-D distribution of the sample from the obtained images. Since the system is angularly band-limited, we have to constrain the inverse equation of the system by some a priori information to lead to a unique solution. We use the information of the knowledge of the spatial outer boundary of the object to truncate the projection system function. The outer boundary of the object is easily measured. Since this constraining preserves the linearity of the system, reconstruction can be simply performed by a linear-system solving method.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"20 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":"122242130","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":"Three-dimensional Optical Microscopy of Biological Specimens","authors":"D. Agard, Yashushi Hiraoka, J. Sedat","doi":"10.1364/srs.1986.thd1","DOIUrl":"https://doi.org/10.1364/srs.1986.thd1","url":null,"abstract":"The ability to analyze biological specimens in three dimensions represents one of the major achievements of modern structural biology. For all but the simplest repeating structures, three-dimensional analysis is a crucial prerequisite for understanding complex biological assemblies. Near atomic resolution analysis of of crystalline proteins, nucleic acids, and viruses by X-ray crystallography approaches the routine. The current frontier focuses on the three dimensional analysis of non-crystalline, non-symmetric biological structures of cellular dimension. Electron microscope tomography and three dimensional optical microscopy are perhaps the most powerful methods for these studies.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"23 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":"125911160","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 Synthesis","authors":"B. Saleh","doi":"10.1364/srs.1986.wb1","DOIUrl":"https://doi.org/10.1364/srs.1986.wb1","url":null,"abstract":"An established practice in microphotography is the introduction of deliberate distortions in the artwork in order to compensate for known distortions in the optical system. The corrections are usually based on experience gained by a process of trial and error. Image synthesis, as defined in this presentation, provides a theoretical foundation for solving this problem. The problem can be regarded as the counterpart to the usual signal/image recovery (reconstruction, or restoration. It may be called signal/image \"discovery\", “construction\", \"synthesis\", or \"design\". The problems of image restoration and image synthesis are very similar. In both problems the imaging system is known; the output image is known, and the input is to be found. But the motive is quite different-- discovery versus recovery. One subtle difference has to do with the existence of a solution. In an image restoration problem, the measured output results from an actual, albeit unknown, input. In an image synthesis problem, on the other hand, it is possible that no input image is capable of producing the desired output image. Therefore, in image synthesis, the problem of utmost concern is that of existence of a solution. In an image restoration problem, one is usually concerned with uniqueness and recoverability.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"19 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":"126211772","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":"Computational vision as inverse optics: reconstructing spectral reflectances and illuminant","authors":"T. Poggio, A. Hurlbert","doi":"10.1364/srs.1986.fd2","DOIUrl":"https://doi.org/10.1364/srs.1986.fd2","url":null,"abstract":"The standard definition of computational vision is that it is inverse optics. The direct problem - the problem of classical optics - or computer graphics - is to determine the images of three-dimensional objects. Computational vision is confronted with the inverse and ill-posed problems of recovering surface properties from the partial information contained in images. As a consequence, vision must rely on natural constraints, that is, general assumptions about the physical world to derive an ambiguous output.","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":"127743253","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 Restoration of Images with Missing High-Frequency Components Using Adaptive Regularization","authors":"J. Maeda, K. Murata","doi":"10.1364/srs.1986.fb3","DOIUrl":"https://doi.org/10.1364/srs.1986.fb3","url":null,"abstract":"The problem of restoring the details of bandlimited images of spatial finite extent or recovering the missing high-frequency components has recently been discussed extensively. Since the present problem is ill-conditioned, certain types of regularization techniques are required [1-5]. Moreover, some types of a priori information or constraints are used to overcome the ambiguity and instability of the solution [6-9].","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"42 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":"131462793","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}
J. Cederquist, S. Robinson, D. Kryskowski, J. Fienup, C. Wackerman
{"title":"Cramer-Rao Lower Bound for Fourier Modulus Wavefront Sensor","authors":"J. Cederquist, S. Robinson, D. Kryskowski, J. Fienup, C. Wackerman","doi":"10.1364/srs.1986.pd1","DOIUrl":"https://doi.org/10.1364/srs.1986.pd1","url":null,"abstract":"A wavefront sensor receives the field from an object after it has acquired a phase aberration due to atmospheric turbulence. The Fourier modulus wavefront sensor operates by using a lens or mirror to Fourier transform the field in the sensor aperture to a measurement plane where the modulus squared (intensity) of the Fourier transform is detected. Motivation to study this sensor is given by the success of several iterative Fourier transform algorithms in making phase estimates from measured data of this type [1,2]. It is also known that, in most cases of practical interest, the atmospheric phase is uniquely related to Fourier (focal) plane intensity measurements [3].","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"29 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":"121316958","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}
Warren E. Smith, W. Dallas, H. Schlitt, W. Kullmann
{"title":"Reconstructing a Vector Current Distribution from its Magnetic Field Using Linear Estimation Theory","authors":"Warren E. Smith, W. Dallas, H. Schlitt, W. Kullmann","doi":"10.1364/srs.1986.wa2","DOIUrl":"https://doi.org/10.1364/srs.1986.wa2","url":null,"abstract":"Several methods currently exist for exploring the three-dimensional structure of the organs of the human body. They include x-ray computed tomography (CT),1 magnetic resonance imaging (MRI),2 and emission computed tomography (ECT).3,4 These techniques provide spatial information about an organ's attenuation coefficient, proton density, or the ability of the organ to take up a radioactive pharmaceutical, respectively.","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":"121158305","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":"Review of Some Inverse Methods in Electromagnetics","authors":"T. Habashy, R. Mittra","doi":"10.1364/JOSAA.4.000281","DOIUrl":"https://doi.org/10.1364/JOSAA.4.000281","url":null,"abstract":"In this paper we present a brief review of some methods for solving the inverse problem in electromagnetics, methods that are useful for the problem of profile inversion of a layered medium whose complex refractive index varies as a function of depth or the radial distance. The scope of the paper is limited to a discussion of rigorous techniques only, and the numerical schemes based on the parameter estimation algorithms, or approximate methods, e.g., migration techniques and the ray methods, are not included.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"279 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":"122163923","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 continuous object distributions from Fourier magnitude","authors":"C. Byrne, M. Fiddy","doi":"10.1364/srs.1986.thb4","DOIUrl":"https://doi.org/10.1364/srs.1986.thb4","url":null,"abstract":"The phase retrieval from Fourier magnitude problem has traditionally been considered from the viewpoint of the analytic properties of Fourier transforms of finite support object distributions, [1]. It is well known that intrinsic phase ambiguities arise if the product representation of the Fourier transform has one or more non-self conjugate factors. In one dimension there can be an infinity of such factors but in two or more the exact number is difficult to ascertain. Recently there has been a trend towards considering object distributions comprising a set of discrete points,[2]. For several applications, e.g. astronomy, this is not unreasonable. This model has the great advantage that one can adopt a discrete Fourier transform representation for the Fourier data or, equivalently, a z-transform representation leading to a finite degree polynomial model. Such a model can be generally assumed to lead to a unique relationship between Fourier magnitude and phase [3] and has given confidence to the use of iterative methods which had been observed to succeed in the recovering Fourier phase from magnitude or vice-versa,[4].","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":"132368253","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":"The Possibility Image Transform and Logical Convolution","authors":"B. Frieden","doi":"10.1364/JOSAA.4.000232","DOIUrl":"https://doi.org/10.1364/JOSAA.4.000232","url":null,"abstract":"It is now well-appreciated that an image represents a probability law on position for incoming photons.1,2 A recent mutation of probability theory is \"possibility\" theory.3 It departs from probability theory in the following basic ways: If A and B are two disjoint events, the probabilities P(A or B), P(A and B) obey while the corresponding possibilities obey Operation max (a,b) = the larger of a,b, while min (a,b) = the smaller of a,b.","PeriodicalId":262149,"journal":{"name":"Topical Meeting On Signal Recovery and Synthesis II","volume":"32 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":"123380764","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}