Variational Methods In Imaging

Author : Otmar Scherzer,Markus Grasmair,Harald Grossauer,Markus Haltmeier,Frank Lenzen
Publisher : Springer Science & Business Media
Page : 323 pages
File Size : 43,5 Mb
Release : 2008-09-26
Category : Mathematics
ISBN : 9780387692777

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Variational Methods in Imaging by Otmar Scherzer,Markus Grasmair,Harald Grossauer,Markus Haltmeier,Frank Lenzen Pdf

This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Many numerical examples accompany the theory throughout the text. It is geared towards graduate students and researchers in applied mathematics. Researchers in the area of imaging science will also find this book appealing. It can serve as a main text in courses in image processing or as a supplemental text for courses on regularization and inverse problems at the graduate level.

Author : Anonim
Publisher : Unknown
Page : 320 pages
File Size : 47,7 Mb
Release : 2008
Category : Imaging systems
ISBN : OCLC:234298493

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Variational Methods in Imaging by Anonim Pdf

Author : Maïtine Bergounioux,Gabriel Peyré,Christoph Schnörr,Jean-Baptiste Caillau,Thomas Haberkorn
Publisher : Walter de Gruyter GmbH & Co KG
Page : 540 pages
File Size : 53,9 Mb
Release : 2017-01-11
Category : Mathematics
ISBN : 9783110430394

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Variational Methods by Maïtine Bergounioux,Gabriel Peyré,Christoph Schnörr,Jean-Baptiste Caillau,Thomas Haberkorn Pdf

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

Author : Luminita A. Vese,Carole Le Guyader
Publisher : CRC Press
Page : 416 pages
File Size : 51,9 Mb
Release : 2015-11-18
Category : Computers
ISBN : 9781439849743

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Variational Methods in Image Processing by Luminita A. Vese,Carole Le Guyader Pdf

Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler-Lagrange equations, and numerical implementations for image processing. It balances traditional computational models with more modern techniques that solve t

Author : Amar Mitiche,J.K. Aggarwal
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 54,5 Mb
Release : 2013-09-05
Category : Technology & Engineering
ISBN : 9783319007113

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Computer Vision Analysis of Image Motion by Variational Methods by Amar Mitiche,J.K. Aggarwal Pdf

This book presents a unified view of image motion analysis under the variational framework. Variational methods, rooted in physics and mechanics, but appearing in many other domains, such as statistics, control, and computer vision, address a problem from an optimization standpoint, i.e., they formulate it as the optimization of an objective function or functional. The methods of image motion analysis described in this book use the calculus of variations to minimize (or maximize) an objective functional which transcribes all of the constraints that characterize the desired motion variables. The book addresses the four core subjects of motion analysis: Motion estimation, detection, tracking, and three-dimensional interpretation. Each topic is covered in a dedicated chapter. The presentation is prefaced by an introductory chapter which discusses the purpose of motion analysis. Further, a chapter is included which gives the basic tools and formulae related to curvature, Euler Lagrange equations, unconstrained descent optimization, and level sets, that the variational image motion processing methods use repeatedly in the book.

Author : Jean-François Aujol,Mila Nikolova,Nicolas Papadakis
Publisher : Springer
Page : 716 pages
File Size : 44,9 Mb
Release : 2015-04-27
Category : Computers
ISBN : 9783319184616

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Scale Space and Variational Methods in Computer Vision by Jean-François Aujol,Mila Nikolova,Nicolas Papadakis Pdf

This book constitutes the refereed proceedings of the 5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015, held in Lège-Cap Ferret, France, in May 2015. The 56 revised full papers presented were carefully reviewed and selected from 83 submissions. The papers are organized in the following topical sections: scale space and partial differential equation methods; denoising, restoration and reconstruction, segmentation and partitioning; flow, motion and registration; photography, texture and color processing; shape, surface and 3D problems; and optimization theory and methods in imaging.

Author : Stanley Osher,Nikos Paragios
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 48,9 Mb
Release : 2007-05-08
Category : Computers
ISBN : 9780387218106

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Geometric Level Set Methods in Imaging, Vision, and Graphics by Stanley Osher,Nikos Paragios Pdf

Here is, for the first time, a book that clearly explains and applies new level set methods to problems and applications in computer vision, graphics, and imaging. It is an essential compilation of survey chapters from the leading researchers in the field. The applications of the methods are emphasized.

Author : Martin Burger,Andrea C.G. Mennucci,Stanley Osher,Martin Rumpf
Publisher : Springer
Page : 319 pages
File Size : 45,5 Mb
Release : 2013-10-17
Category : Mathematics
ISBN : 9783319017129

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Level Set and PDE Based Reconstruction Methods in Imaging by Martin Burger,Andrea C.G. Mennucci,Stanley Osher,Martin Rumpf Pdf

This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDE-based techniques, as well as computational aspects and applications.

Author : Jan Lellmann,Martin Burger,Jan Modersitzki
Publisher : Springer
Page : 574 pages
File Size : 46,6 Mb
Release : 2019-06-21
Category : Computers
ISBN : 9783030223687

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Scale Space and Variational Methods in Computer Vision by Jan Lellmann,Martin Burger,Jan Modersitzki Pdf

This book constitutes the proceedings of the 7th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2019, held in Hofgeismar, Germany, in June/July 2019. The 44 papers included in this volume were carefully reviewed and selected for inclusion in this book. They were organized in topical sections named: 3D vision and feature analysis; inpainting, interpolation and compression; inverse problems in imaging; optimization methods in imaging; PDEs and level-set methods; registration and reconstruction; scale-space methods; segmentation and labeling; and variational methods.

Author : Abderrahim Elmoataz,Jalal Fadili,Yvain Quéau,Julien Rabin,Loïc Simon
Publisher : Springer Nature
Page : 584 pages
File Size : 49,9 Mb
Release : 2021-04-29
Category : Computers
ISBN : 9783030755492

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Scale Space and Variational Methods in Computer Vision by Abderrahim Elmoataz,Jalal Fadili,Yvain Quéau,Julien Rabin,Loïc Simon Pdf

This book constitutes the proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021, which took place during May 16-20, 2021. The conference was planned to take place in Cabourg, France, but changed to an online format due to the COVID-19 pandemic. The 45 papers included in this volume were carefully reviewed and selected from a total of 64 submissions. They were organized in topical sections named as follows: scale space and partial differential equations methods; flow, motion and registration; optimization theory and methods in imaging; machine learning in imaging; segmentation and labelling; restoration, reconstruction and interpolation; and inverse problems in imaging.

Author : Fiorella Sgallari,Almerico Murli,Nikos Paragios
Publisher : Springer Science & Business Media
Page : 934 pages
File Size : 43,6 Mb
Release : 2007-07-23
Category : Computers
ISBN : 9783540728238

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Scale Space and Variational Methods in Computer Vision by Fiorella Sgallari,Almerico Murli,Nikos Paragios Pdf

This book constitutes the refereed proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2007, emanated from the joint edition of the 4th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2007 and the 6th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2007, held in Ischia Italy, May/June 2007.

Author : Xue-Cheng Tai,Knut Morken,Marius Lysaker,Knut-Andreas Lie
Publisher : Springer Science & Business Media
Page : 882 pages
File Size : 54,9 Mb
Release : 2009-05-25
Category : Computers
ISBN : 9783642022555

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Scale Space and Variational Methods in Computer Vision by Xue-Cheng Tai,Knut Morken,Marius Lysaker,Knut-Andreas Lie Pdf

This book constitutes the refereed proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, emanated from the joint edition of the 5th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2009 and the 7th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2009, held in Voss, Norway in June 2009. The 71 revised full papers presented were carefully reviewed and selected numerous submissions. The papers are organized in topical sections on segmentation and detection; image enhancement and reconstruction; motion analysis, optical flow, registration and tracking; surfaces and shapes; scale space and feature extraction.

Author : Arjan Kuijper,Kristian Bredies,Thomas Pock,Horst Bischof
Publisher : Springer
Page : 514 pages
File Size : 46,7 Mb
Release : 2013-05-20
Category : Computers
ISBN : 9783642382673

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Scale Space and Variational Methods in Computer Vision by Arjan Kuijper,Kristian Bredies,Thomas Pock,Horst Bischof Pdf

This book constitutes the refereed proceedings of the 4th International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2013, held in Schloss Seggau near Graz, Austria, in June 2013. The 42 revised full papers presented were carefully reviewed and selected 69 submissions. The papers are organized in topical sections on image denoising and restoration, image enhancement and texture synthesis, optical flow and 3D reconstruction, scale space and partial differential equations, image and shape analysis, and segmentation.

Author : Otmar Scherzer
Publisher : Springer Science & Business Media
Page : 1626 pages
File Size : 40,8 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.

Author : Alfred M. Bruckstein,Bart M. ter Haar Romeny,Alexander M. Bronstein,Michael M. Bronstein
Publisher : Springer
Page : 811 pages
File Size : 47,8 Mb
Release : 2012-01-03
Category : Computers
ISBN : 9783642247859

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Scale Space and Variational Methods in Computer Vision by Alfred M. Bruckstein,Bart M. ter Haar Romeny,Alexander M. Bronstein,Michael M. Bronstein Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the Third International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2011, held in Ein-Gedi, Israel in May/June 2011. The 24 revised full papers presented together with 44 poster papers were carefully reviewed and selected from 78 submissions. The papers are organized in topical sections on denoising and enhancement, segmentation, image representation and invariants, shape analysis, and optical flow.