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Qiu P. — Image processing and jump regression analysis
Qiu P. — Image processing and jump regression analysis



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Название: Image processing and jump regression analysis

Автор: Qiu P.

Аннотация:

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. Key topics include conventional smoothing procedures, estimation of jump regression curves, edge detection in image processing, and edge-preserving image restoration, to name a few. With mathematical proofs kept to a minimum, this book is uniquely accessible as a primary text in nonparametric jump regression analysis and image processing as well as a reference on image processing or curve/surface estimation.


Язык: en

Рубрика: Computer science/Обработка изображений/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 313

Добавлена в каталог: 20.11.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Nonparametric regression analysis, mean squared error      27—28
Nonparametric regression analysis, multivariate kernel estimator      29
Nonparametric regression analysis, multivariate kernel estimator, curse of dimensionality      29
Nonparametric regression analysis, multivariate local polynomial kernel estimator      34
Nonparametric regression analysis, Nadaraya — Watson kernel estimator      27 29 57 66 93 154
Nonparametric regression analysis, optimal convergence rate      27—28 32
Nonparametric regression analysis, regression model      4
Nonparametric regression analysis, regression model, design points      5
Nonparametric regression analysis, regression model, explanatory variable      5
Nonparametric regression analysis, regression model, predictor      5
Nonparametric regression analysis, regression model, response variable      5
Nonparametric regression analysis, regression spline estimation      40
Nonparametric regression analysis, regression spline estimation, knots selection      43 69
Nonparametric regression analysis, regression spline estimation, regression spline estimator      41
Nonparametric regression analysis, regression spline estimation, spline of order k      40
Nonparametric regression analysis, smoothing spline estimator      37 111
Nonparametric regression analysis, smoothing spline estimator, an expression      37
Nonparametric regression analysis, smoothing spline estimator, generalized cross-validation (GCV)      39
Nonparametric regression analysis, smoothing spline estimator, knots      36
Nonparametric regression analysis, smoothing spline estimator, multivariate smoothing spline estimation      39
Nonparametric regression analysis, smoothing spline estimator, piecewise polynomial function      36
Nonparametric regression analysis, smoothing spline estimator, polynomial spline function      36
Nonparametric regression analysis, smoothing spline estimator, selection of the smoothing parameter      38
Nonparametric regression analysis, smoothing spline estimator, smoothing parameter      37
Nonparametric regression analysis, wavelet transformation      44
Nonparametric regression analysis, wavelet transformation, binary dilation      46
Nonparametric regression analysis, wavelet transformation, bivariate wavelet transformations      49
Nonparametric regression analysis, wavelet transformation, continuous wavelet transformations      70
Nonparametric regression analysis, wavelet transformation, discrete wavelet transformations      46
Nonparametric regression analysis, wavelet transformation, dyadic translation      46
Nonparametric regression analysis, wavelet transformation, father wavelet      46
Nonparametric regression analysis, wavelet transformation, inverse discrete wavelet transformation      46
Nonparametric regression analysis, wavelet transformation, mother wavelet      46 70
Nonparametric regression analysis, wavelet transformation, multi-resolution analysis      49
Nonparametric regression analysis, wavelet transformation, separable form      49
Nonparametric regression analysis, wavelet transformation, thresholding      48
Nonparametric regression analysis, wavelet transformation, wavelet coefficients      46
Nonparametric regression analysis, wavelet transformation, wavelet functions      46
Nonparametric regression analysis, weighted residual mean square      170—172
Nonparametric regression analysis, weighted residual sum of squares      163
Nonparametric regression analysis, window width      25
Observations      13
Observations, measurement error      13
Observations, sources of noise      13
Outliers      19 94 267
Parameter estimation      19
Parameter estimation, asymptotic distribution      21
Parameter estimation, asymptotically unbiased estimator      20
Parameter estimation, bias      19
Parameter estimation, confidence interval      21
Parameter estimation, confidence level      21
Parameter estimation, consistency      20
Parameter estimation, convergence rate      21
Parameter estimation, mean squared error      20
Parameter estimation, point estimator      19
Parameter estimation, standard error      21
Parameter estimation, unbiased estimator      19
Parametric regression analysis      6
Parametric regression analysis, linear regression      6 147
Parametric regression analysis, polynomial regression      36
Partial differential equation      270
Partial spline estimator      40 68
Peppers image      213 231
Piecewisely linear regression analysis      8
pixels      3
Pixels, first order pixels      206
Pixels, interaction among neighboring pixels      261
Pixels, second order pixels      206
Point spread function      237 244
Polar coordinate system      224
Population      13—14
Population, population distribution      15
Population, population proportion      17
Position invariant      237 240
Principal component (PC) line      152—153
Random field      247
Random variable      15
Random variable, absolutely continuous      15
Random variable, chi-square distribution      53
Random variable, correlation coefficient      52
Random variable, covariance      52
Random variable, covariance matrix      52
Random variable, cumulative distribution function (cdf)      15
Random variable, density curve      16
Random variable, expected value      16
Random variable, Gaussian distribution      16
Random variable, joint cumulative distribution function      52
Random variable, joint probability density function      52
Random variable, location parameter      16
Random variable, mean      16
Random variable, mean vector      52
Random variable, multivariate      15
Random variable, normal distribution      16
Random variable, probability density function (pdf)      15
Random variable, random vector      15
Random variable, scale parameter      16
Random variable, standard deviation      16
Random variable, standard normal distribution      16 75
Random variable, t-distribution      53
Random variable, variance      16
Raster scan      255 271
Regression function      5
Regression function, continuous regression function      14
Regression function, jump regression function      55
Regression function, jump regression function, continuity part      55 68
Regression function, jump regression function, jump part      55 68
Regression function, jump regression function, three jump factors      55
Regression function, linear regression function      6 24
Regression function, nonparametric regression function      6
Regression function, parametric regression function      6
Regression function, regression coefficients      6
Regression function, signal      14
Regression function, smooth function      14
Regularizes      259
Robust estimation      93 261
Sample      17
Sample, central limit theorem      22 26 210—211
Sample, order statistic      19 60 107
Sample, sample interquartile range      19
Sample, sample mean      18
Sample, sample median      19
Sample, sample standard deviation      18
Sample, sample variance      18
Sample, sampling distribution      19
Sample, sampling techniques      18
Sample, simple random sample      18
Sample, statistic      18
SAR image      3 143
Scale parameter      203
Sea-level pressure data      4 54 85 96
Semiparametric regression model      40 65
Signal-to-noise ratio      174 202
Simulated annealing      216 219—220 253
Simulation      54
Sleep data      97
Smoothness      6 37 259
Sobolev function space      37 68
Standard Wiener process      70
statistical process control      8
Statistical relaxation      253
Surface estimation      8
Temperature      220 248 254
Thresholding      84 87 117 125 128 132 142 157 163 193 210 224
Transition probability function      220
Truncated power functions      41 67 69
Weighted bicubic spline (WBS)      268
White noise model      70
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