Mathematical Methods For Objects Reconstruction

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Mathematical Methods for Objects Reconstruction

Emiliano Cristiani,Maurizio Falcone †,Silvia Tozza
Mathematical Methods for Objects Reconstruction Book PDF

Author : Emiliano Cristiani,Maurizio Falcone †,Silvia Tozza
Publisher : Springer Nature
Page : 185 pages
File Size : 49,7 Mb
Release : 2023-07-31
Category : Mathematics
ISBN : 9789819907762

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Mathematical Methods for Objects Reconstruction by Emiliano Cristiani,Maurizio Falcone †,Silvia Tozza Pdf

The volume collects several contributions to the INDAM workshop Mathematical Methods for Objects Reconstruction: from 3D Vision to 3D Printing held in Rome, February, 2021. The goal of the workshop was to discuss new methods and conceptual structures for managing these challenging problems. The chapters reflect this goal and the authors are academic researchers and some experts from industry working in the areas of 3D modeling, computer vision, 3D printing and/or developing new mathematical methods for these problems. The contributions present methodologies and challenges raised by the emergence of large-scale 3D reconstruction applications and low-cost 3D printers. The volume collects complementary knowledges from different areas of mathematics, computer science and engineering on research topics related to 3D printing, which are, so far, widely unexplored. Young researchers and future scientific leaders in the field of 3D data acquisition, 3D scene reconstruction, and 3D printing software development will find an excellent introduction to these problems and to the mathematical techniques necessary to solve them.

Mathematical Methods in Image Reconstruction

Frank Natterer,Frank Wuebbeling
Mathematical Methods in Image Reconstruction Book PDF

Author : Frank Natterer,Frank Wuebbeling
Publisher : SIAM
Page : 226 pages
File Size : 44,7 Mb
Release : 2001-01-01
Category : Computers
ISBN : 9780898716221

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Mathematical Methods in Image Reconstruction by Frank Natterer,Frank Wuebbeling Pdf

This book provides readers with a superior understanding of the mathematical principles behind imaging.

Phase Retrieval and Zero Crossings

N.E. Hurt
Phase Retrieval and Zero Crossings Book PDF

Author : N.E. Hurt
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 40,5 Mb
Release : 2001-11-30
Category : Mathematics
ISBN : 1402003374

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Phase Retrieval and Zero Crossings by N.E. Hurt Pdf

'Et moi, ... , si j'avait su comment en :revenir, One scrvice mathematics has rendered the je n'y scrais point alle.' human race. lt has put common sense back Jules Veme where it bdongs, on the topmost shelf next to the dusty canister labclled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Erle T. Bc1l 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'.All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Mathematical Methods in Engineering

Nuno Miguel Fonseca Ferreira,José António Tenreiro Machado
Mathematical Methods in Engineering Book PDF

Author : Nuno Miguel Fonseca Ferreira,José António Tenreiro Machado
Publisher : Springer
Page : 322 pages
File Size : 44,5 Mb
Release : 2014-08-18
Category : Technology & Engineering
ISBN : 9789400771833

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Mathematical Methods in Engineering by Nuno Miguel Fonseca Ferreira,José António Tenreiro Machado Pdf

This book presents a careful selection of the contributions presented at the Mathematical Methods in Engineering (MME10) International Symposium, held at the Polytechnic Institute of Coimbra- Engineering Institute of Coimbra (IPC/ISEC), Portugal, October 21-24, 2010. The volume discusses recent developments about theoretical and applied mathematics toward the solution of engineering problems, thus covering a wide range of topics, such as: Automatic Control, Autonomous Systems, Computer Science, Dynamical Systems and Control, Electronics, Finance and Economics, Fluid Mechanics and Heat Transfer, Fractional Mathematics, Fractional Transforms and Their Applications, Fuzzy Sets and Systems, Image and Signal Analysis, Image Processing, Mechanics, Mechatronics, Motor Control and Human Movement Analysis, Nonlinear Dynamics, Partial Differential Equations, Robotics, Acoustics, Vibration and Control, and Wavelets.

Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis

Milan Sonka,Ioannis A. Kakadiaris,Jan Kybic
Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis Book PDF

Author : Milan Sonka,Ioannis A. Kakadiaris,Jan Kybic
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 42,9 Mb
Release : 2004-09-20
Category : Computers
ISBN : 9783540226758

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Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis by Milan Sonka,Ioannis A. Kakadiaris,Jan Kybic Pdf

Medical imaging and medical image analysisare rapidly developing. While m- ical imaging has already become a standard of modern medical care, medical image analysis is still mostly performed visually and qualitatively. The ev- increasing volume of acquired data makes it impossible to utilize them in full. Equally important, the visual approaches to medical image analysis are known to su?er from a lack of reproducibility. A signi?cant researche?ort is devoted to developing algorithms for processing the wealth of data available and extracting the relevant information in a computerized and quantitative fashion. Medical imaging and image analysis are interdisciplinary areas combining electrical, computer, and biomedical engineering; computer science; mathem- ics; physics; statistics; biology; medicine; and other ?elds. Medical imaging and computer vision, interestingly enough, have developed and continue developing somewhat independently. Nevertheless, bringing them together promises to b- e?t both of these ?elds. We were enthusiastic when the organizers of the 2004 European Conference on Computer Vision (ECCV) allowed us to organize a satellite workshop devoted to medical image analysis.

Handbook of Mathematical Methods in Imaging

Otmar Scherzer
Handbook of Mathematical Methods in Imaging Book PDF

Author : Otmar Scherzer
Publisher : Springer Science & Business Media
Page : 1626 pages
File Size : 40,5 Mb
Release : 2010-11-23
Category : Mathematics
ISBN : 9780387929194

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Handbook of Mathematical Methods in Imaging by Otmar Scherzer Pdf

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Handbook of Mathematical Models in Computer Vision

Nikos Paragios,Yunmei Chen,Olivier D. Faugeras
Handbook of Mathematical Models in Computer Vision Book PDF

Author : Nikos Paragios,Yunmei Chen,Olivier D. Faugeras
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 46,7 Mb
Release : 2006-01-16
Category : Computers
ISBN : 9780387288314

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Handbook of Mathematical Models in Computer Vision by Nikos Paragios,Yunmei Chen,Olivier D. Faugeras Pdf

Abstract Biological vision is a rather fascinating domain of research. Scientists of various origins like biology, medicine, neurophysiology, engineering, math ematics, etc. aim to understand the processes leading to visual perception process and at reproducing such systems. Understanding the environment is most of the time done through visual perception which appears to be one of the most fundamental sensory abilities in humans and therefore a significant amount of research effort has been dedicated towards modelling and repro ducing human visual abilities. Mathematical methods play a central role in this endeavour. Introduction David Marr's theory v^as a pioneering step tov^ards understanding visual percep tion. In his view human vision was based on a complete surface reconstruction of the environment that was then used to address visual subtasks. This approach was proven to be insufficient by neuro-biologists and complementary ideas from statistical pattern recognition and artificial intelligence were introduced to bet ter address the visual perception problem. In this framework visual perception is represented by a set of actions and rules connecting these actions. The emerg ing concept of active vision consists of a selective visual perception paradigm that is basically equivalent to recovering from the environment the minimal piece information required to address a particular task of interest.

Mathematical Methods in Tomography

Gabor T. Herman,Alfred K. Louis,Frank Natterer
Mathematical Methods in Tomography Book PDF

Author : Gabor T. Herman,Alfred K. Louis,Frank Natterer
Publisher : Springer
Page : 279 pages
File Size : 48,8 Mb
Release : 2006-11-14
Category : Medical
ISBN : 9783540466154

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Mathematical Methods in Tomography by Gabor T. Herman,Alfred K. Louis,Frank Natterer Pdf

The conference was devoted to the discussion of present and future techniques in medical imaging, including 3D x-ray CT, ultrasound and diffraction tomography, and biomagnetic ima- ging. The mathematical models, their theoretical aspects and the development of algorithms were treated. The proceedings contains surveys on reconstruction in inverse obstacle scat- tering, inversion in 3D, and constrained least squares pro- blems.Research papers include besides the mentioned imaging techniques presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam recon- struction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applica- tions in non-medical fields. Contents: Theoretical Aspects: J.Boman: Helgason' s support theorem for Radon transforms-a newproof and a generalization -P.Maass: Singular value de- compositions for Radon transforms- W.R.Madych: Image recon- struction in Hilbert space -R.G.Mukhometov: A problem of in- tegral geometry for a family of rays with multiple reflec- tions -V.P.Palamodov: Inversion formulas for the three-di- mensional ray transform - Medical Imaging Techniques: V.Friedrich: Backscattered Photons - are they useful for a surface - near tomography - P.Grangeat: Mathematical frame- work of cone beam 3D reconstruction via the first derivative of the Radon transform -P.Grassin,B.Duchene,W.Tabbara: Dif- fraction tomography: some applications and extension to 3D ultrasound imaging -F.A.Gr}nbaum: Diffuse tomography: a re- fined model -R.Kress,A.Zinn: Three dimensional reconstruc- tions in inverse obstacle scattering -A.K.Louis: Mathemati- cal questions of a biomagnetic imaging problem - Inverse Problems and Optimization: Y.Censor: On variable block algebraic reconstruction techniques -P.P.Eggermont: On Volterra-Lotka differential equations and multiplicative algorithms for monotone complementary problems

Advances in Imaging and Electron Physics

Anonim
Advances in Imaging and Electron Physics Book PDF

Author : Anonim
Publisher : Academic Press
Page : 280 pages
File Size : 47,9 Mb
Release : 2021-06-10
Category : Technology & Engineering
ISBN : 9780323915069

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Advances in Imaging and Electron Physics by Anonim Pdf

Advances in Imaging and Electron Physics, Volume 218 merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, digital image processing, electromagnetic wave propagation, electron microscopy and the computing methods used in all these domains. Specific chapters in this release cover Phase retrieval methods applied to coherent imaging, X-ray phase-contrast imaging: a broad overview of some fundamentals, Graphene and borophene as nanoscopic materials for electronics – with review of the physics, and more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Advances in Imaging and Electron Physics series Updated release includes the latest information on the Coulomb Interactions in Charged Particle Beams

Mathematical Methods in Computer Vision

Peter J. Olver,Allen Tannenbaum
Mathematical Methods in Computer Vision Book PDF

Author : Peter J. Olver,Allen Tannenbaum
Publisher : Springer
Page : 0 pages
File Size : 53,5 Mb
Release : 2010-11-16
Category : Business & Economics
ISBN : 1475741278

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Mathematical Methods in Computer Vision by Peter J. Olver,Allen Tannenbaum Pdf

This volume comprises some of the key work presented at two IMA Workshops on Computer Vision during fall of 2000. Recent years have seen significant advances in the application of sophisticated mathematical theories to the problems arising in image processing. Basic issues include image smoothing and denoising, image enhancement, morphology, image compression, and segmentation (determining boundaries of objects-including problems of camera distortion and partial occlusion). Several mathematical approaches have emerged, including methods based on nonlinear partial differential equations, stochastic and statistical methods, and signal processing techniques, including wavelets and other transform theories. Shape theory is of fundamental importance since it is the bottleneck between high and low level vision, and formed the bridge between the two workshops on vision. The recent geometric partial differential equation methods have been essential in throwing new light on this very difficult problem area. Further, stochastic processes, including Markov random fields, have been used in a Bayesian framework to incorporate prior constraints on smoothness and the regularities of discontinuities into algorithms for image restoration and reconstruction. A number of applications are considered including optical character and handwriting recognizers, printed-circuit board inspection systems and quality control devices, motion detection, robotic control by visual feedback, reconstruction of objects from stereoscopic view and/or motion, autonomous road vehicles, and many others.

Theory of Reconstruction from Image Motion

Stephen Maybank
Theory of Reconstruction from Image Motion Book PDF

Author : Stephen Maybank
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642775574

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Theory of Reconstruction from Image Motion by Stephen Maybank Pdf

The image taken by a moving camera changes with time. These image motions contain information about the motion of the camera and about the shapes of the objects in the field of view. There are two main types of image motion, finite displacements and image velocities. Finite displacements are described by the point correspondences between two images of the same scene taken from different positions. Image velocities are the velocities of the points in the image as they move over the projection surface. Reconstruction is the task of obtaining from the image-motions information about the camera motion or about the shapes of objects in the field of view. In this book the theory underlying reconstruction is described. Reconstruction from image motion is the subject matter of two different sci entific disciplines, photogrammetry and computer vision. In photogrammetry the accuracy of reconstruction is emphasised; in computer vision the emphasis is on methods for obtaining information from images in real time in order to guide a mechanical device such as a robot arm or an automatic vehicle. This book arises from recent work carried out in computer vision. Computer vision is a young field but it is developing rapidly. The earliest papers on reconstruction in the computer vision literature date back only to the mid 1970s. As computer vision develops, the mathematical techniques applied to the analysis of recon struction become more appropriate and more powerful.

Image Processing

Artyom M. Grigoryan,Merughan M. Grigoryan
Image Processing Book PDF

Author : Artyom M. Grigoryan,Merughan M. Grigoryan
Publisher : CRC Press
Page : 466 pages
File Size : 46,5 Mb
Release : 2018-09-03
Category : Technology & Engineering
ISBN : 9781466509955

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Image Processing by Artyom M. Grigoryan,Merughan M. Grigoryan Pdf

Focusing on mathematical methods in computer tomography, Image Processing: Tensor Transform and Discrete Tomography with MATLAB® introduces novel approaches to help in solving the problem of image reconstruction on the Cartesian lattice. Specifically, it discusses methods of image processing along parallel rays to more quickly and accurately reconstruct images from a finite number of projections, thereby avoiding overradiation of the body during a computed tomography (CT) scan. The book presents several new ideas, concepts, and methods, many of which have not been published elsewhere. New concepts include methods of transferring the geometry of rays from the plane to the Cartesian lattice, the point map of projections, the particle and its field function, and the statistical model of averaging. The authors supply numerous examples, MATLAB®-based programs, end-of-chapter problems, and experimental results of implementation. The main approach for image reconstruction proposed by the authors differs from existing methods of back-projection, iterative reconstruction, and Fourier and Radon filtering. In this book, the authors explain how to process each projection by a system of linear equations, or linear convolutions, to calculate the corresponding part of the 2-D tensor or paired transform of the discrete image. They then describe how to calculate the inverse transform to obtain the reconstruction. The proposed models for image reconstruction from projections are simple and result in more accurate reconstructions. Introducing a new theory and methods of image reconstruction, this book provides a solid grounding for those interested in further research and in obtaining new results. It encourages readers to develop effective applications of these methods in CT.

Mathematical Methods for Curves and Surfaces

Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker
Mathematical Methods for Curves and Surfaces Book PDF

Author : Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker
Publisher : Springer
Page : 511 pages
File Size : 50,6 Mb
Release : 2014-02-03
Category : Computers
ISBN : 9783642543821

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Mathematical Methods for Curves and Surfaces by Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker Pdf

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2012, held in Oslo, Norway, in June/July 2012. The 28 revised full papers presented were carefully reviewed and selected from 135 submissions. The topics range from mathematical analysis of various methods to practical implementation on modern graphics processing units. The papers reflect the newest developments in these fields and also point to the latest literature.

Mathematical Methods in Image Processing and Inverse Problems

Xue-Cheng Tai,Suhua Wei,Haiguang Liu
Mathematical Methods in Image Processing and Inverse Problems Book PDF

Author : Xue-Cheng Tai,Suhua Wei,Haiguang Liu
Publisher : Springer Nature
Page : 226 pages
File Size : 53,6 Mb
Release : 2021-09-25
Category : Mathematics
ISBN : 9789811627019

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Mathematical Methods in Image Processing and Inverse Problems by Xue-Cheng Tai,Suhua Wei,Haiguang Liu Pdf

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.

Robust Methods for Dense Monocular Non-Rigid 3D Reconstruction and Alignment of Point Clouds

Vladislav Golyanik
Robust Methods for Dense Monocular Non Rigid 3D Reconstruction and Alignment of Point Clouds Book PDF

Author : Vladislav Golyanik
Publisher : Springer Nature
Page : 352 pages
File Size : 55,8 Mb
Release : 2020-06-04
Category : Computers
ISBN : 9783658305673

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Robust Methods for Dense Monocular Non-Rigid 3D Reconstruction and Alignment of Point Clouds by Vladislav Golyanik Pdf

Vladislav Golyanik proposes several new methods for dense non-rigid structure from motion (NRSfM) as well as alignment of point clouds. The introduced methods improve the state of the art in various aspects, i.e. in the ability to handle inaccurate point tracks and 3D data with contaminations. NRSfM with shape priors obtained on-the-fly from several unoccluded frames of the sequence and the new gravitational class of methods for point set alignment represent the primary contributions of this book. About the Author: Vladislav Golyanik is currently a postdoctoral researcher at the Max Planck Institute for Informatics in Saarbrücken, Germany. The current focus of his research lies on 3D reconstruction and analysis of general deformable scenes, 3D reconstruction of human body and matching problems on point sets and graphs. He is interested in machine learning (both supervised and unsupervised), physics-based methods as well as new hardware and sensors for computer vision and graphics (e.g., quantum computers and event cameras).