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|a Qiu, Peihua,
|d 1965-
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245 |
1 |
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|a Image processing and jump regression analysis /
|c Peihua Qiu.
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260 |
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|a Hoboken, N.J. :
|b John Wiley,
|c ©2005.
|
300 |
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|a 1 online resource (xxiii, 305 pages) :
|b illustrations
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336 |
|
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|a text
|b txt
|2 rdacontent
|
337 |
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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347 |
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|a data file
|2 rda
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1 |
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|a Wiley series in probability and statistics
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500 |
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|a "Wiley-Interscience."
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504 |
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|a Includes bibliographical references (pages 281-300) and index.
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505 |
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|a Cover -- Contents -- Preface -- 1 Introduction -- 1.1 Images and image representation -- 1.2 Regression curves and sugaces with jumps -- 1.3 Edge detection, image restoration, and jump regression analysis -- 1.4 Statistical process control and some other related topics -- 1.5 Organization of the book -- Problems -- 2 Basic Statistical Concepts and Conventional Smoothing Techniques -- 2.1 Introduction -- 2.2 Some basic statistical concepts and terminologies -- 2.2.1 Populations, samples, and distributions -- 2.2.2 Point estimation of population parameters -- 2.2.3 Confidence intervals and hypothesis testing -- 2.2.4 Maximum likelihood estimation and least squares estimation -- 2.3 Nadaraya- Watson and other kernel smoothing techniques -- 2.3.1 Univariate kernel estimators -- 2.3.2 Some statistical properties of kernel estimators -- 2.3.3 Multivariate kernel estimators -- 2.4 Local polynomial kernel smoothing techniques -- 2.4.1 Univariate local polynomial kernel estimators -- 2.4.2 Some statistical properties -- 2.4.3 Multivariate local polynomial kernel estimators -- 2.4.4 Bandwidth selection -- 2.5 Spline smoothing procedures -- 2.5.1 Univariate smoothing spline estimation -- 2.5.2 Selection of the smoothing parameter -- 2.5.3 Multivariate smoothing spline estimation -- 2.5.4 Regression spline estimation -- 2.6 Wavelet transformation methods -- 2.6.1 Function estimation based on Fourier transformation -- 2.6.2 Univariate wavelet transformations -- 2.6.3 Bivariate wavelet transformations -- Problems -- 3 Estimation of Jump Regression Curves -- 3.1 Introduction -- 3.2 Jump detection when the number of jumps is known -- 3.2.1 Difference kernel estimation procedures -- 3.2.2 Jump detection based on local linear kernel smoothing -- 3.2.3 Estimation of jump regression functions based on semiparametric modeling -- 3.2.4 Estimation of jump regression functions by spline smoothing -- 3.2.5 Jump and cusp detection by wavelet transformations -- 3.3 Jump estimation when the number of jumps is unknown -- 3.3.1 Jump detection by comparing three local estimators -- 3.3.2 Estimation of the number of jumps by a sequence of hypothesis tests -- 3.3.3 Jump detection by DAKE -- 3.3.4 Jump detection by local polynomial regression -- 3.4 Jump-preserving curve estimation -- 3.4.1 Jump curve estimation by split linear smoothing -- 3.4.2 Jump-preserving curve fitting based on local piecewise-linear kernel estimation -- 3.4.3 Jump-preserving smoothers based on robust estimation -- 3.5 Some discussions -- Problems -- 4 Estimation of Jump Location Curves of Regression Surfaces -- 4.1 Introduction -- 4.2 Jump detection when the number of jump location curves is known -- 4.2.1 Jump detection by RDKE -- 4.2.2 Minimax edge detection -- 4.2.3 Jump estimation based on a contrast statistic -- 4.2.4 Algorithms for tracking the JLCs -- 4.2.5 Estimation of JLCs by wavelet transformations -- 4.3 Detection of arbitrary jumps by local smoothing -- 4.3.1 Treat JLCs as a pointset in the design space -- 4.3.2 Jump detection by local linear estimation -- 4.3.3 Two modijication procedures -- 4.4 Jump detection in two or more given directions -- 4.4.1 Jump detection in two given directions -- 4.4.2 Measuring the p.
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|a Image Processing and Jump Regression Analysis builds a bridge between the worlds of computer graphics and statistics by addressing both the connections and the differences between these two disciplines. The author provides a systematic breakdown of the methodology behind nonparametric jump regression analysis by outlining procedures that are easy to use, simple to compute, and have proven statistical theory behind them.
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588 |
0 |
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|a Print version record.
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546 |
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|a English.
|
590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
|
0 |
|a Image processing.
|
650 |
|
0 |
|a Regression analysis.
|
650 |
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2 |
|a Regression Analysis
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650 |
|
6 |
|a Traitement d'images.
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650 |
|
6 |
|a Analyse de régression.
|
650 |
|
7 |
|a image processing.
|2 aat
|
650 |
|
7 |
|a COMPUTERS
|x Computer Vision & Pattern Recognition.
|2 bisacsh
|
650 |
|
7 |
|a Image processing
|2 fast
|
650 |
|
7 |
|a Regression analysis
|2 fast
|
758 |
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|i has work:
|a Image processing and jump regression analysis (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGPqMvdPfbxv9FK6vFJTDy
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
776 |
0 |
8 |
|i Print version:
|a Qiu, Peihua, 1965-
|t Image processing and jump regression analysis.
|d Hoboken, N.J. : John Wiley, ©2005
|w (DLC) 2004053000
|
830 |
|
0 |
|a Wiley series in probability and statistics.
|
856 |
4 |
0 |
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