Geometric Regularization In Bioluminescence Tomography

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Geometric Regularization in Bioluminescence Tomography

Author : Kreutzmann, Tim
Publisher : KIT Scientific Publishing
ISBN 13 : 3731501422
Total Pages : 198 pages
Book Rating : 4.7/5 (315 download)

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Book Synopsis Geometric Regularization in Bioluminescence Tomography by : Kreutzmann, Tim

Download or read book Geometric Regularization in Bioluminescence Tomography written by Kreutzmann, Tim and published by KIT Scientific Publishing. This book was released on 2014-01-16 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bioluminescence tomography is a recent biomedical imaging technique which allows to study molecular and cellular activities in vivo. From a mathematical point of view, it is an ill-posed inverse source problem: the location and the intensity of a photon source inside an organism have to be determined, given the photon count on the organism's surface. To face the ill-posedness of this problem, a geometric regularization approach is introduced, analyzed and numerically verified in this book.

Geometric Regularization in Bioluminescence Tomography

Author : Tim Kreutzmann
Publisher :
ISBN 13 : 9781013282362
Total Pages : 194 pages
Book Rating : 4.2/5 (823 download)

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Book Synopsis Geometric Regularization in Bioluminescence Tomography by : Tim Kreutzmann

Download or read book Geometric Regularization in Bioluminescence Tomography written by Tim Kreutzmann and published by . This book was released on 2020-10-09 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bioluminescence tomography is a recent biomedical imaging technique which allows to study molecular and cellular activities in vivo. From a mathematical point of view, it is an ill-posed inverse source problem: the location and the intensity of a photon source inside an organism have to be determined, given the photon count on the organism's surface. To face the ill-posedness of this problem, a geometric regularization approach is introduced, analyzed and numerically verified in this book. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Variational Methods

Author : Maïtine Bergounioux
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110430495
Total Pages : 621 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Variational Methods by : Maïtine Bergounioux

Download or read book Variational Methods written by Maïtine Bergounioux and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-01-11 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents: Part I Second-order decomposition model for image processing: numerical experimentation Optimizing spatial and tonal data for PDE-based inpainting Image registration using phase・amplitude separation Rotation invariance in exemplar-based image inpainting Convective regularization for optical flow A variational method for quantitative photoacoustic tomography with piecewise constant coefficients On optical flow models for variational motion estimation Bilevel approaches for learning of variational imaging models Part II Non-degenerate forms of the generalized Euler・Lagrange condition for state-constrained optimal control problems The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls Controllability of Keplerian motion with low-thrust control systems Higher variational equation techniques for the integrability of homogeneous potentials Introduction to KAM theory with a view to celestial mechanics Invariants of contact sub-pseudo-Riemannian structures and Einstein・Weyl geometry Time-optimal control for a perturbed Brockett integrator Twist maps and Arnold diffusion for diffeomorphisms A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I Index

Molecular Imaging

Author : Bernhard Schaller
Publisher : BoD – Books on Demand
ISBN 13 : 9535103598
Total Pages : 404 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Molecular Imaging by : Bernhard Schaller

Download or read book Molecular Imaging written by Bernhard Schaller and published by BoD – Books on Demand. This book was released on 2012-03-16 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book gives an exceptional overview of molecular imaging. Practical approach represents the red thread through the whole book, covering at the same time detailed background information that goes very deep into molecular as well as cellular level. Ideas how molecular imaging will develop in the near future present a special delicacy. This should be of special interest as the contributors are members of leading research groups from all over the world.

Molecular Imaging

Author : Jie Tian
Publisher : Springer Science & Business Media
ISBN 13 : 3642343031
Total Pages : 707 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Molecular Imaging by : Jie Tian

Download or read book Molecular Imaging written by Jie Tian and published by Springer Science & Business Media. This book was released on 2013-07-23 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Molecular Imaging: Fundamentals and Applications" is a comprehensive monograph which describes not only the theory of the underlying algorithms and key technologies but also introduces a prototype system and its applications, bringing together theory, technology and applications. By explaining the basic concepts and principles of molecular imaging, imaging techniques, as well as research and applications in detail, the book provides both detailed theoretical background information and technical methods for researchers working in medical imaging and the life sciences. Clinical doctors and graduate students will also benefit from this book. Jie Tian is a professor at the Institute of Automation, Chinese Academy of Sciences, China.

Handbook of Small Animal Imaging

Author : George C. Kagadis
Publisher : CRC Press
ISBN 13 : 1315362791
Total Pages : 602 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Handbook of Small Animal Imaging by : George C. Kagadis

Download or read book Handbook of Small Animal Imaging written by George C. Kagadis and published by CRC Press. This book was released on 2018-09-03 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of small animal models in basic and preclinical sciences constitutes an integral part of testing new pharmaceutical agents prior to their application in clinical practice. New imaging and therapeutic approaches need to be tested and validated first in animals before application to humans. Handbook of Small Animal Imaging: Preclinical Imaging, Therapy, and Applications collects the latest information about various imaging and therapeutic technologies used in preclinical research into a single source. Useful to established researchers as well as newcomers to the field, this handbook shows readers how to exploit and integrate these imaging and treatment modalities and techniques into their own research. The book first presents introductory material on small animal imaging, therapy, and research ethics. It next covers ionizing radiation and nonionizing radiation methods in small animal imaging, hybrid imaging, and imaging agents. The book then addresses therapeutic research platforms and image quantification, explaining how to ensure accurate measurements of high-quality data. It concludes with an overview of many small animal imaging and therapy applications that demonstrate the strength of the techniques in biomedical fields.

Discrete Inverse Problems

Author : Per Christian Hansen
Publisher : SIAM
ISBN 13 : 089871883X
Total Pages : 220 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Discrete Inverse Problems by : Per Christian Hansen

Download or read book Discrete Inverse Problems written by Per Christian Hansen and published by SIAM. This book was released on 2010-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.

Regularization of Inverse Problems

Author : Heinz Werner Engl
Publisher : Springer Science & Business Media
ISBN 13 : 9780792361404
Total Pages : 340 pages
Book Rating : 4.3/5 (614 download)

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Book Synopsis Regularization of Inverse Problems by : Heinz Werner Engl

Download or read book Regularization of Inverse Problems written by Heinz Werner Engl and published by Springer Science & Business Media. This book was released on 2000-03-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.

Mathematical Methods in Image Reconstruction

Author : Frank Natterer
Publisher : SIAM
ISBN 13 : 0898716225
Total Pages : 226 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Methods in Image Reconstruction by : Frank Natterer

Download or read book Mathematical Methods in Image Reconstruction written by Frank Natterer and published by SIAM. This book was released on 2001-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a superior understanding of the mathematical principles behind imaging.

Image Reconstruction from Projections

Author : Gabor T. Herman
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Image Reconstruction from Projections by : Gabor T. Herman

Download or read book Image Reconstruction from Projections written by Gabor T. Herman and published by . This book was released on 1980 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image reconstruction from projections. Probability and random variables. An overview of the process of CT. Physical problems associated with data collection in CT. Computer simulation of data collection in CT. Data collection and reconstruction of the head phantom under various assumptions. Basic concepts of reconstruction algorithms. Backprojection. Convolution method for parallel beams. Other transform methods for parallel beams. Convolution methods for divergent beams. The algebraic reconstruction techniques. Quadratic optimization methods. Noniterative series expansion methods. Truly three-dimensional reconstruction. Three-dimensional display of organs. Mathematical background.

Geometric Numerical Integration

Author : Ernst Hairer
Publisher : Springer Science & Business Media
ISBN 13 : 3662050188
Total Pages : 526 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Geometric Numerical Integration by : Ernst Hairer

Download or read book Geometric Numerical Integration written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.

Nanotechnology-Enabled Sensors

Author : Kourosh Kalantar-zadeh
Publisher : Springer Science & Business Media
ISBN 13 : 0387680233
Total Pages : 502 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Nanotechnology-Enabled Sensors by : Kourosh Kalantar-zadeh

Download or read book Nanotechnology-Enabled Sensors written by Kourosh Kalantar-zadeh and published by Springer Science & Business Media. This book was released on 2007-09-19 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanotechnology provides tools for creating functional materials, devices, and systems by controlling materials at the atomic and molecular scales and making use of novel properties and phenomena. Nanotechnology-enabled sensors find applications in several fields such as health and safety, medicine, process control and diagnostics. This book provides the reader with information on how nanotechnology enabled sensors are currently being used and how they will be used in the future in such diverse fields as communications, building and facilities, medicine, safety, and security, including both homeland defense and military operations.

Boundary Value Problems for Transport Equations

Author : Valeri Agoshkov
Publisher : Springer Science & Business Media
ISBN 13 : 9780817639860
Total Pages : 304 pages
Book Rating : 4.6/5 (398 download)

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Book Synopsis Boundary Value Problems for Transport Equations by : Valeri Agoshkov

Download or read book Boundary Value Problems for Transport Equations written by Valeri Agoshkov and published by Springer Science & Business Media. This book was released on 1998-09-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 1252 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1983 with total page 1252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inverse and Ill-posed Problems

Author : Heinz W. Engl
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Inverse and Ill-posed Problems by : Heinz W. Engl

Download or read book Inverse and Ill-posed Problems written by Heinz W. Engl and published by . This book was released on 1987 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse and Ill-Posed Problems.

Small-Animal SPECT Imaging

Author : Matthew A. Kupinski
Publisher : Springer Science & Business Media
ISBN 13 : 0387252940
Total Pages : 304 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Small-Animal SPECT Imaging by : Matthew A. Kupinski

Download or read book Small-Animal SPECT Imaging written by Matthew A. Kupinski and published by Springer Science & Business Media. This book was released on 2007-05-27 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small-Animal SPECT Imaging is an edited work derived from the first workshop on Small-Animal SPECT Imaging held January 14-16, 2004 at the University of Arizona, Tucson, AZ, USA. The overall goal of the meeting and therefore this volume is to promote information exchange and collaboration between the research groups developing systems for small-animal applications. Topics include the biomedical significance of small-animal imaging, an overview of detector technologies including scintillation cameras and semi-conductor arrays, imager design and data acquisition systems, animal handling and anesthesia issues, objective assessment of image quality, and system modeling and reconstruction algorithms.

Topological Derivatives in Shape Optimization

Author : Antonio André Novotny
Publisher : Springer Science & Business Media
ISBN 13 : 3642352456
Total Pages : 423 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Topological Derivatives in Shape Optimization by : Antonio André Novotny

Download or read book Topological Derivatives in Shape Optimization written by Antonio André Novotny and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints. It has applications in many different fields such as shape and topology optimization, inverse problems, imaging processing and mechanical modeling including synthesis and/or optimal design of microstructures, fracture mechanics sensitivity analysis and damage evolution modeling. Since there is no monograph on the subject at present, the authors provide here the first account of the theory which combines classical sensitivity analysis in shape optimization with asymptotic analysis by means of compound asymptotic expansions for elliptic boundary value problems. This book is intended for researchers and graduate students in applied mathematics and computational mechanics interested in any aspect of topological asymptotic analysis. In particular, it can be adopted as a textbook in advanced courses on the subject and shall be useful for readers interested on the mathematical aspects of topological asymptotic analysis as well as on applications of topological derivatives in computation mechanics.