Central Library, Indian Institute of Technology Delhi
केंद्रीय पुस्तकालय, भारतीय प्रौद्योगिकी संस्थान दिल्ली

Stochastic partial differential equations for computer vision with uncertain data / (Record no. 238281)

MARC details
000 -LEADER
fixed length control field 07167nam a2200733 i 4500
001 - CONTROL NUMBER
control field 7987824
003 - CONTROL NUMBER IDENTIFIER
control field IEEE
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220822104913.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m eo d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cn |||m|||a
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170721s2017 caua foab 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781681731445
Qualifying information ebook
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781681731438
Qualifying information print
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.2200/S00779ED1V01Y201705VCP028
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (CaBNVSL)swl00407639
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)994268507
040 ## - CATALOGING SOURCE
Original cataloging agency CaBNVSL
Language of cataloging eng
Description conventions rda
Transcribing agency CaBNVSL
Modifying agency CaBNVSL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number TA1637.5
Item number .P747 2017
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 006.693
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Preusser, Tobias,
Relator term author.
245 10 - TITLE STATEMENT
Title Stochastic partial differential equations for computer vision with uncertain data /
Statement of responsibility, etc. Tobias Preusser, Robert M. Kirby, Torben Pätz.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture [San Rafael, California] :
Name of producer, publisher, distributor, manufacturer Morgan & Claypool,
Date of production, publication, distribution, manufacture, or copyright notice 2017.
300 ## - PHYSICAL DESCRIPTION
Extent 1 PDF (xvi, 144 pages) :
Other physical details illustrations.
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term electronic
Source isbdmedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Synthesis lectures on visual computing,
International Standard Serial Number 2469-4223 ;
Volume/sequential designation # 28
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat Reader.
500 ## - GENERAL NOTE
General note Part of: Synthesis digital library of engineering and computer science.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (pages 133-142).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Partial differential equations and their numerics -- 2.1 Some basics from functional analysis -- 2.2 Finite difference method -- 2.3 Weak formulation -- 2.4 Galerkin approach and finite element method -- 2.5 Time-stepping schemes --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3. Review of PDE-based image processing -- 3.1 Mathematical representation of images -- 3.2 Diffusion filtering for denoising -- 3.3 Random walker and diffusion image segmentation -- 3.4 Mumford-Shah and Ambrosio-Tortorelli segmentation -- 3.5 Level set methods for image segmentation -- 3.6 Variational methods for optical flow -- 3.7 Variational methods for registration --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4. Numerics of stochastic PDEs -- 4.1 Basics from probability theory -- 4.2 Stochastic partial differential equations -- 4.3 Polynomial chaos expansions -- 4.3.1 Calculations in the polynomial chaos -- 4.3.2 Polynomial chaos for random fields -- 4.4 Sampling-based discretization of SPDEs -- 4.5 Stochastic finite difference method -- 4.6 Stochastic finite element method -- 4.7 Generalized spectral decomposition -- 4.7.1 Using polynomial chaos with GSD --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5. Stochastic images -- 5.1 Polynomial chaos for stochastic images -- 5.2 Stochastic images from samples -- 5.2.1 Low-rank approximation -- 5.3 Stochastic images from noise models -- 5.4 Imaging modalities for stochastic images -- 5.5 Visualization of stochastic images --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6. Image processing and computer vision with stochastic images -- 6.1 Stochastic diffusion filtering -- 6.1.1 Results -- 6.2 Stochastic random Walker and stochastic diffusion image segmentation -- 6.2.1 Results -- 6.2.2 Performance evaluation -- 6.3 Stochastic Ambrosio-Tortorelli segmentation -- 6.3.1 [Gamma]-convergence of the stochastic model -- 6.3.2 Weak formulation and discretization -- 6.3.3 Results -- 6.4 Stochastic level set method for image segmentation -- 6.4.1 Derivation of a stochastic level set equation -- 6.4.2 Interpretation of stochastic level sets -- 6.4.3 Discretization of the stochastic level set equation -- 6.4.4 Reinitialization of stochastic level sets -- 6.4.5 Numerical verification -- 6.4.6 Image segmentation with stochastic level sets -- 6.4.7 Results -- 6.5 Variational method for elastic registration -- 6.5.1 Results --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7. Sensitivity analysis -- 7.1 Classical sensitivity analysis -- 7.2 Perona-Malik diffusion -- 7.3 Random Walker and diffusion image segmentation -- 7.4 Ambrosio-Tortorelli segmentation -- 7.5 Gradient-based segmentation -- 7.6 Geodesic active contours -- 7.7 Discontinuity-preserving optical flow --
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 8. Conclusions -- Bibliography -- Authors' biographies.
506 ## - RESTRICTIONS ON ACCESS NOTE
Terms governing access Abstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0# - CITATION/REFERENCES NOTE
Name of source Compendex
510 0# - CITATION/REFERENCES NOTE
Name of source INSPEC
510 0# - CITATION/REFERENCES NOTE
Name of source Google scholar
510 0# - CITATION/REFERENCES NOTE
Name of source Google book search
520 3# - SUMMARY, ETC.
Summary, etc. In image processing and computer vision applications such as medical or scientific image data analysis, as well as in industrial scenarios, images are used as input measurement data. It is good scientific practice that proper measurements must be equipped with error and uncertainty estimates. For many applications, not only the measured values but also their errors and uncertainties, should be--and more and more frequently are--taken into account for further processing. This error and uncertainty propagation must be done for every processing step such that the final result comes with a reliable precision estimate. The goal of this book is to introduce the reader to the recent advances from the field of uncertainty quantification and error propagation for computer vision, image processing, and image analysis that are based on partial differential equations (PDEs). It presents a concept with which error propagation and sensitivity analysis can be formulated with a set of basic operations. The approach discussed in this book has the potential for application in all areas of quantitative computer vision, image processing, and image analysis. In particular, it might help medical imaging finally become a scientific discipline that is characterized by the classical paradigms of observation, measurement, and error awareness. This book is comprised of eight chapters. After an introduction to the goals of the book (Chapter 1), we present a brief review of PDEs and their numerical treatment (Chapter 2), PDE-based image processing (Chapter 3), and the numerics of stochastic PDEs (Chapter 4). We then proceed to define the concept of stochastic images (Chapter 5), describe how to accomplish image processing and computer vision with stochastic images (Chapter 6), and demonstrate the use of these principles for accomplishing sensitivity analysis (Chapter 7). Chapter 8 concludes the book and highlights new research topics for the future.
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE
Additional physical form available note Also available in print.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Title from PDF title page (viewed on July 21, 2017).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Image processing
General subdivision Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Image processing
General subdivision Digital techniques.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Stochastic partial differential equations.
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term image processing
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term computer vision
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term stochastic images
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term uncertainty quantification
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term stochastic partial differential equation
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term polynomial chaos
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kirby, Robert M.,
Dates associated with a name 1975-
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pätz, Torben,
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9781681731438
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Synthesis digital library of engineering and computer science.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Synthesis lectures on visual computing ;
Volume/sequential designation # 28.
International Standard Serial Number 2469-4223
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified Abstract with links to resource
Uniform Resource Identifier <a href="http://ieeexplore.ieee.org/servlet/opac?bknumber=7987824">http://ieeexplore.ieee.org/servlet/opac?bknumber=7987824</a>
Holdings
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