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Download PDF by Ludwik Kurz: Analysis of Variance in Statistical Image Processing

By Ludwik Kurz

ISBN-10: 0511530161

ISBN-13: 9780511530166

ISBN-10: 0521031966

ISBN-13: 9780521031967

ISBN-10: 0521581826

ISBN-13: 9780521581820

A key challenge in functional snapshot processing is the detection of particular positive factors in a loud photograph. research of variance (ANOVA) suggestions will be very potent in such occasions, and this publication offers an in depth account of using ANOVA in statistical snapshot processing. The e-book starts by way of describing the statistical illustration of pictures within the a variety of ANOVA versions. The authors current a couple of computationally effective algorithms and strategies to accommodate such difficulties as line, part, and item detection, in addition to photograph recovery and enhancement. by way of describing the elemental ideas of those ideas, and exhibiting their use in particular events, the ebook will facilitate the layout of latest algorithms for specific functions. it is going to be of significant curiosity to graduate scholars and engineers within the box of photo processing and development popularity.

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Extra resources for Analysis of Variance in Statistical Image Processing

Example text

Now, by using Eq. 104) The error sum of squares under Ha is SSa (y, (3) = J2 E (vij ~ ir) nU i= l 7= 1 V K J ( 2 - 105 ) Using a similar argument in the case of hypothesis H^, we obtain SSb (y, P) = J2b ( ) There are bt observations in the design with b and t block and treatment effects. With the side conditions, the degree of freedom associated with SSe (y, /3) is ne = bt — b — t + 1 while na = t — 1 and rib = b — 1, respectively. 6 Contrast functions The test of the hypothesis, let us say Ha, in the one-way design, is based mainly on the comparison of the test statistic (Eq.

The present model does not reflect an interpretation of each effect in terms of 18 Statistical linear models physical features. This is generally done by selecting the layout pattern. If at the onset we assign at and fij to represent the horizontal and vertical effects, then the effect Tk could be freely chosen to represent the additional feature of interest. For example, the layout shown in Fig. 3 can be used to model effects oriented in the 45° direction. 2. 5x5 Latin square design. Diagonal features are oriented in 135° direction.

Output of one-way detector, a = 5%. 5) Eq. 5) is the classic hypothesis-alternative pair in which H corresponds to the means of the rows in the window being equal to zero and therefore represents the cases in which no structure is present. By structure, we mean the line target of interest or any other arbitrary background structure oriented in the direction of the rows. Therefore, if the pattern to be detected is a horizontal line one-pixel wide through the center of the window, it would appear as a shift in the mean of the 32 Unidirectional line detectors 39 central row.

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Analysis of Variance in Statistical Image Processing by Ludwik Kurz

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