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The Resource Local approximation techniques in signal and image processing, Vladimir Katkovnik, Karen Egiazarian, and Jaakko Astola, (electronic book)

Local approximation techniques in signal and image processing, Vladimir Katkovnik, Karen Egiazarian, and Jaakko Astola, (electronic book)

Label
Local approximation techniques in signal and image processing
Title
Local approximation techniques in signal and image processing
Statement of responsibility
Vladimir Katkovnik, Karen Egiazarian, and Jaakko Astola
Creator
Contributor
Subject
Language
eng
Summary
This book deals with a wide class of novel and efficient adaptive signal processing techniques developed to restore signals from noisy and degraded observations. These signals include those acquired from still or video cameras, electron microscopes, radar, x rays, or ultrasound devices, and are used for various purposes, including entertainment, medical, business, industrial, military, civil, security, and scientific applications. In many cases useful information and high quality must be extracted from the imaging. However, often raw signals are not directly suitable for this purpose and must be processed in some way. Such processing is called signal reconstruction. This book is devoted to a recent and original approach to signal reconstruction based on combining two independent ideas: local polynomial approximation and the intersection of confidence interval rule
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNvSL
http://library.link/vocab/creatorName
Katkovnik, V. I︠A︡.
Dewey number
621.382/2
Illustrations
illustrations
Index
index present
LC call number
TK5102.9
LC item number
.K38 2006e
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1959-
http://library.link/vocab/relatedWorkOrContributorName
  • Astola, Jaakko.
  • Egiazarian, K.
  • Society of Photo-optical Instrumentation Engineers
Series statement
SPIE Press monograph
Series volume
157
http://library.link/vocab/subjectName
  • Approximation theory
  • Image processing
  • Signal processing
Target audience
  • adult
  • specialized
Label
Local approximation techniques in signal and image processing, Vladimir Katkovnik, Karen Egiazarian, and Jaakko Astola, (electronic book)
Instantiates
Publication
Note
"SPIE digital library."
Bibliography note
Includes bibliographical references (p. 535-546) and index
Color
black and white
Contents
  • 1. Introduction -- 1.1. Linear local approximation -- 1.2. Anisotropy -- 1.3. Nonlinear local approximation -- 1.4. Multiresolution analysis -- 1.5. Imaging applications -- 1.6. Overview of the book
  • 2. Discrete LPA -- 2.1. Introduction -- 2.2. Basis of LPA -- 2.3. Kernel LPA estimates -- 2.4. Nonparametric regression -- 2.5. Nonparametric interpolation
  • 3. Shift-invariant LPA kernels -- 3.1. Regular grid kernels -- 3.2. Vanishing moments -- 3.3. Frequency domain -- 3.4. Numerical shift-invariant kernels -- 3.5. Numerical differentiation
  • 4. Integral LPA -- 4.1. Integral kernel estimators -- 4.2. Analytical kernels -- 4.3. Generalized singular functions -- 4.4. Potential derivative estimates
  • 5. Discrete LPA accuracy -- 5.1. Bias and variance of estimates -- 5.2. Ideal scale -- 5.3. Accuracy of potential differentiators
  • 6. Adaptive-scale selection -- 6.1. ICI rule -- 6.2. Multiple-window estimation -- 6.3. Denoising experiments
  • 7. Anisotropic LPA -- 7.1. Directional signal processing -- 7.2. Directional LPA -- 7.3. Numerical directional kernels
  • 8. Anisotropic LPA-ICI algorithms -- 8.1. Accuracy analysis -- 8.2. Adaptive-scale algorithms -- 8.3. Directional image denoising -- 8.4. Directional differentiation -- 8.5. Shading from depth -- 8.6. Optical flow estimation
  • 9. Image reconstruction -- 9.1. Image deblurring -- 9.2. LPA-ICI deblurring algorithms -- 9.3. Motion deblurring -- 9.4. Super-resolution imaging -- 9.5. Inverse halftoning -- 9.6. 3D inverse
  • 10. Nonlinear methods -- 10.1. Why nonlinear methods? -- 10.2. Robust M-estimation -- 10.3. LPA-ICI robust M-estimates -- 10.4. Nonlinear transform methods
  • 11. Likelihood and quasi-likelihood -- 11.1. Local maximum likelihood -- 11.2. Binary and counting observations -- 11.3. Local quasi-likelihood -- 11.4. Quasi-likelihood LPA-ICI algorithms
  • 12. Photon imaging -- 12.1. Direct Poisson observations -- 12.2. Indirect Poisson observations -- 12.3. Local ML Poisson inverse -- 12.4. Computerized tomography
  • 13. Multiresolution analysis -- 13.1. MR analysis: basic concepts -- 13.2. Nonparametric LPA spectrum -- 13.3. Thresholding -- 13.4. Parallels with wavelets
  • 14. Appendix -- 14.1. Analytical regular grid kernels -- 14.2. LPA accuracy -- 14.3. ICI rule -- 14.4. Cross validation -- 14.5. Directional LPA accuracy -- 14.6. Random processes -- 14.7. 3D inverse -- 14.8. Nonlinear methods -- References -- Index
Dimensions
unknown
Extent
1 online resource (xvii, 553 p. : ill.)
File format
multiple file formats
Form of item
electronic
Isbn
9780819478337
Other physical details
digital file.
Reformatting quality
access
Reproduction note
Electronic resource.
Specific material designation
remote
System details
System requirements: Adobe Acrobat Reader
Label
Local approximation techniques in signal and image processing, Vladimir Katkovnik, Karen Egiazarian, and Jaakko Astola, (electronic book)
Publication
Note
"SPIE digital library."
Bibliography note
Includes bibliographical references (p. 535-546) and index
Color
black and white
Contents
  • 1. Introduction -- 1.1. Linear local approximation -- 1.2. Anisotropy -- 1.3. Nonlinear local approximation -- 1.4. Multiresolution analysis -- 1.5. Imaging applications -- 1.6. Overview of the book
  • 2. Discrete LPA -- 2.1. Introduction -- 2.2. Basis of LPA -- 2.3. Kernel LPA estimates -- 2.4. Nonparametric regression -- 2.5. Nonparametric interpolation
  • 3. Shift-invariant LPA kernels -- 3.1. Regular grid kernels -- 3.2. Vanishing moments -- 3.3. Frequency domain -- 3.4. Numerical shift-invariant kernels -- 3.5. Numerical differentiation
  • 4. Integral LPA -- 4.1. Integral kernel estimators -- 4.2. Analytical kernels -- 4.3. Generalized singular functions -- 4.4. Potential derivative estimates
  • 5. Discrete LPA accuracy -- 5.1. Bias and variance of estimates -- 5.2. Ideal scale -- 5.3. Accuracy of potential differentiators
  • 6. Adaptive-scale selection -- 6.1. ICI rule -- 6.2. Multiple-window estimation -- 6.3. Denoising experiments
  • 7. Anisotropic LPA -- 7.1. Directional signal processing -- 7.2. Directional LPA -- 7.3. Numerical directional kernels
  • 8. Anisotropic LPA-ICI algorithms -- 8.1. Accuracy analysis -- 8.2. Adaptive-scale algorithms -- 8.3. Directional image denoising -- 8.4. Directional differentiation -- 8.5. Shading from depth -- 8.6. Optical flow estimation
  • 9. Image reconstruction -- 9.1. Image deblurring -- 9.2. LPA-ICI deblurring algorithms -- 9.3. Motion deblurring -- 9.4. Super-resolution imaging -- 9.5. Inverse halftoning -- 9.6. 3D inverse
  • 10. Nonlinear methods -- 10.1. Why nonlinear methods? -- 10.2. Robust M-estimation -- 10.3. LPA-ICI robust M-estimates -- 10.4. Nonlinear transform methods
  • 11. Likelihood and quasi-likelihood -- 11.1. Local maximum likelihood -- 11.2. Binary and counting observations -- 11.3. Local quasi-likelihood -- 11.4. Quasi-likelihood LPA-ICI algorithms
  • 12. Photon imaging -- 12.1. Direct Poisson observations -- 12.2. Indirect Poisson observations -- 12.3. Local ML Poisson inverse -- 12.4. Computerized tomography
  • 13. Multiresolution analysis -- 13.1. MR analysis: basic concepts -- 13.2. Nonparametric LPA spectrum -- 13.3. Thresholding -- 13.4. Parallels with wavelets
  • 14. Appendix -- 14.1. Analytical regular grid kernels -- 14.2. LPA accuracy -- 14.3. ICI rule -- 14.4. Cross validation -- 14.5. Directional LPA accuracy -- 14.6. Random processes -- 14.7. 3D inverse -- 14.8. Nonlinear methods -- References -- Index
Dimensions
unknown
Extent
1 online resource (xvii, 553 p. : ill.)
File format
multiple file formats
Form of item
electronic
Isbn
9780819478337
Other physical details
digital file.
Reformatting quality
access
Reproduction note
Electronic resource.
Specific material designation
remote
System details
System requirements: Adobe Acrobat Reader

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