| 000 -LEADER |
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| fixed length control field |
07167nam a2200733 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
7987824 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200413152925.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| 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 |
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| 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 |
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| 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 |
http://ieeexplore.ieee.org/servlet/opac?bknumber=7987824 |
