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Author : Myron Katz
Publisher :
ISBN 13 : 9780387090870
Total Pages : 175 pages
Book Rating : 4.0/5 (98 download)
Download or read book Questions of Uniqueness and Resolution in Reconstruction from Projection written by Myron Katz and published by . This book was released on 1974 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. B. Katz
Publisher : Springer Science & Business Media
ISBN 13 : 3642455077
Total Pages : 188 pages
Book Rating : 4.6/5 (424 download)
Download or read book Questions of Uniqueness and Resolution in Reconstruction from Projections written by M. B. Katz and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstruction from projections has revolutionized radiology and has now become one of the most important tools of medical diagnosis The E. M. I. Scanner is one example. In this text, some fundamental theoretical and practical questions are resolved. Despite recent research activity in the area, the crucial subject of the uniqueness of the reconstruction and the effect of noise in the data posed some unsettled fundamental questions. In particular, Kennan Smith proved that if we describe an object by a C^inf_o function, i.e., infinitely differentiable with compact support, then there are other objects with the same shape, i.e., support, which can differ almost arbitrarily and still have the same projections in finitely many directions. On the other hand, he proved that objects in finite dimensional function spaces are uniquely determined by a single projection for almost all angles, i.e., except on a set of measure zero. Along these lines, Herman and Rowland in "Three Methods for reconstructing objects from x-rays: a comparative study" (1973) showed that reconstructions obtained from the commonly used algorithms can grossly misrepresent the object and that the algorithm which produced the best reconstruction when using noiseless data gave unsatisfactory results with noisy data. Equally important are reports in Science, and personal communications by radiologists indicating that in medical practice failure rates of reconstruction vary from four to twenty percent. within this work, the mathematical dilemma posed by Kennan Smith's result is discussed and clarified.
Download or read book Questions of Uniqueness and Resolution in Reconstruction of 2-D and 3-D Objects from Their Projections written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Myron Bernard Katz
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Questions of uniquences and resolution in reconstruction from projections written by Myron Bernard Katz and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Myron Bernard Katz
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.:/5 (34 download)
Download or read book Questions of Uniqueness and Resolution in Reconstruction of 2-D and 3-D Objects from Their Projections written by Myron Bernard Katz and published by . This book was released on 1976 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. P. Golubyatnikov
Publisher : VSP
ISBN 13 : 9789067643320
Total Pages : 136 pages
Book Rating : 4.6/5 (433 download)
Download or read book Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data written by V. P. Golubyatnikov and published by VSP. This book was released on 2000 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this new volume in the Inverse and Ill-Posed Problems Series studies uniqeness questions for recovering the shapes of the convex and more complicated bodies from shapes of their projections onto planes of low dimension. Some stability estimates of the solutions to these inverse problems are given. The second part deals with inverse problems with projection data directly connected to tomography, in partcular to apparent contours of smooth surfaces, which have practical interpretations such as thin cracks in continuous media which are studied in industrial defectoscopy, caustic surfaces which are studies in wave optics, etc. New results on reconstruction of smooth surfaces from observations of the wave fronts generated by these surfaces are obtained.
Author : V. P. Golubyatnikov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311092031X
Total Pages : 132 pages
Book Rating : 4.1/5 (19 download)
Download or read book Uniqueness Questions in Reconstruction of Multidimensional Objects from Tomography-Type Projection Data written by V. P. Golubyatnikov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Author : Eric Andres
Publisher : Springer Science & Business Media
ISBN 13 : 3540255133
Total Pages : 438 pages
Book Rating : 4.5/5 (42 download)
Download or read book Discrete Geometry for Computer Imagery written by Eric Andres and published by Springer Science & Business Media. This book was released on 2005-04-07 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Discrete Geometry for Computer Imagery, DGCI 2005, held in Poitiers, France in April 2005. The 36 revised full papers presented together with an invited paper were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on applications, discrete hierarchical geometry, discrete tomography, discrete topology, object properties, reconstruction and recognition, uncertain geometry, and visualization.
Author : Henry Stark
Publisher : Elsevier
ISBN 13 : 0323145973
Total Pages : 565 pages
Book Rating : 4.3/5 (231 download)
Download or read book Image Recovery: Theory and Application written by Henry Stark and published by Elsevier. This book was released on 2013-04-25 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image Recovery: Theory and Application focuses on signal recovery and synthesis problems. This book discusses the concepts of image recovery, including regularization, the projection theorem, and the pseudoinverse operator. Comprised of 13 chapters, this volume begins with a review of the basic properties of linear vector spaces and associated operators, followed by a discussion on the Gerchberg-Papoulis algorithm. It then explores image restoration and the basic mathematical theory in image restoration problems. The reader is also introduced to the problem of obtaining artifact-free computed tomographic reconstruction. Other chapters consider the importance of Bayesian approach in the context of medical imaging. In addition, the book discusses the linear programming method, which is particularly important for images with large number of pixels with zero value. Such images are usually found in medical imaging, microscopy, electron microscopy, and astronomy. This book can be a valuable resource to materials scientists, engineers, computed tomography technologists, and astronomers.
Author : Attila Kuba
Publisher : Springer
ISBN 13 : 3540476520
Total Pages : 701 pages
Book Rating : 4.5/5 (44 download)
Download or read book Discrete Geometry for Computer Imagery written by Attila Kuba and published by Springer. This book was released on 2006-10-13 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Discrete Geometry for Computer Imagery, DGCI 2006, held in Szeged, Hungary in October 2006. The 28 revised full papers and 27 revised poster papers presented together with two invited papers were carefully reviewed and selected from 99 submissions.
Author : Nicolas Normand
Publisher : Springer
ISBN 13 : 3319323601
Total Pages : 449 pages
Book Rating : 4.3/5 (193 download)
Download or read book Discrete Geometry for Computer Imagery written by Nicolas Normand and published by Springer. This book was released on 2016-04-08 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2016, held in Nantes, France, in April 2016. The 32 revised full papers presented together with 2 invited talks were carefully selected from 51 submissions. The papers are organized in topical sections on combinatorial tools; discretization; discrete tomography; discrete and combinatorial topology; shape descriptors; models for discrete geometry; circle drawing; morphological analysis; geometric transforms; and discrete shape representation, recognition and analysis.
Author : Carlos Castillo-Chavez
Publisher : Springer Science & Business Media
ISBN 13 : 3642466931
Total Pages : 340 pages
Book Rating : 4.6/5 (424 download)
Download or read book Mathematical Approaches to Problems in Resource Management and Epidemiology written by Carlos Castillo-Chavez and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasingly, mathematical methods are being used to advantage in addressing the problems facing humanity in managing its environment. Problems in resource management and epidemiology especially have demonstrated the utility of quantitative modeling. To explore these approaches, the Center of Applied Mathematics at Cornell University organized a conference in Fall, 1987, with the objective of surveying and assessing the state of the art. This volume records the proceedings of that conference. Underlying virtually all of these studies are models of population growth, from individual cells to large vertebrates. Cell population growth presents the simplest of systems for study, and is of fundamental importance in its own right for a variety of medical and environmental applications. In Part I of this volume, Michael Shuler describes computer models of individual cells and cell populations, and Frank Hoppensteadt discusses the synchronization of bacterial culture growth. Together, these provide a valuable introduction to mathematical cell biology.
Author : Bernhard Burgeth
Publisher : Springer
ISBN 13 : 3030208672
Total Pages : 19 pages
Book Rating : 4.0/5 (32 download)
Download or read book Mathematical Morphology and Its Applications to Signal and Image Processing written by Bernhard Burgeth and published by Springer. This book was released on 2019-06-19 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed proceedings of the 14th International Symposium on Mathematical Morphology, ISMM 2019, held in Saarbrücken, Germany, in July 2019. The 40 revised full papers presented together with one invited talk were carefully reviewed and selected from 54 submissions. The papers are organized in topical sections on Theory, Discrete Topology and Tomography, Trees and Hierarchies, Multivariate Morphology, Computational Morphology, Machine Learning, Segmentation, Applications in Engineering, and Applications in (Bio)medical Imaging.
Author : Jesús Angulo
Publisher : Springer
ISBN 13 : 3319572407
Total Pages : 499 pages
Book Rating : 4.3/5 (195 download)
Download or read book Mathematical Morphology and Its Applications to Signal and Image Processing written by Jesús Angulo and published by Springer. This book was released on 2017-04-07 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the refereed proceedings of the 13th International Symposium on Mathematical Morphology, ISMM 2017, held in Fontainebleau, France, in May 2017. The 36 revised full papers presented together with 4 short papers were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on algebraic theory, max-plus and max-min mathematics; discrete geometry and discrete topology; watershed and graph-based segmentation; trees and hierarchies; topological and graph-based clustering, classification and filtering; connected operators and attribute filters; PDE-based morphology; scale-space representations and nonlinear decompositions; computational morphology; object detection; and biomedical, material science and physical applications.
Author : Society of Photo-optical Instrumentation Engineers
Publisher :
ISBN 13 :
Total Pages : 554 pages
Book Rating : 4.3/5 (91 download)
Download or read book Medical Imaging IV. written by Society of Photo-optical Instrumentation Engineers and published by . This book was released on 1990 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronny Ramlau
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110560852
Total Pages : 347 pages
Book Rating : 4.1/5 (15 download)
Download or read book The Radon Transform written by Ronny Ramlau and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1917, Johann Radon published his fundamental work, where he introduced what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-breaking developments related to the Radon transform throughout these years, and also discusses novel mathematical research topics and applications for the next century.
Author : Ei Teramoto
Publisher : Springer Science & Business Media
ISBN 13 : 3642933602
Total Pages : 359 pages
Book Rating : 4.6/5 (429 download)
Download or read book Mathematical Topics in Population Biology, Morphogenesis and Neurosciences written by Ei Teramoto and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.
