Analysis of Variance in Statistical Image Processing by Ludwik Kurz

By Ludwik Kurz

A key challenge in sensible picture processing is the detection of particular positive factors in a loud photo. research of variance (ANOVA) recommendations might be very potent in such events, and this ebook offers an in depth account of using ANOVA in statistical photo processing. The ebook starts by way of describing the statistical illustration of pictures within the a number of ANOVA types. The authors current a couple of computationally effective algorithms and methods to accommodate such difficulties as line, facet, and item detection, in addition to photo recovery and enhancement. by means of describing the elemental rules of those innovations, and displaying their use in particular occasions, the e-book will facilitate the layout of latest algorithms for specific purposes. will probably be of significant curiosity to graduate scholars and engineers within the box of photograph processing and development popularity.

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2I) Consider that a window over a certain region of the image has a structure similar to that shown in Fig. 1. The problem is thus reduced to the test of hypothesis Ha : all of/ = 0, where each a,-, i = 1 , . . , m represents a horizontal line. 1. 5x5 window with horizontal line. Using Eq. 2) Since the column index j does not appear in the numerator of Eq. 2), a further reduction of Eq. m ( n _i), the hypothesis is rejected. Although simple, the test proposed above is powerful enough to enable the detection of lines oriented in the horizontal direction within the boundaries of the scanning window.

The main advantage of incomplete designs over lower-order designs lies in the fact that more effects can be studied for the same number of observations or cells, hence allowing the modeling of more structure within the design. In this section we introduce three typical layouts that can be cast within the framework of incomplete designs. They are the Latin square, Graeco-Latin square, and incomplete block design. 7 Latin square design The Latin square design is an incomplete three-way layout in which all three factors are at the same number m of levels.

Some important results associated with the Scheffe technique are elaborated upon. Whenever the proofs are omitted, the reader is referred to reference [2], which contains an excellent presentation of the technique. 3 Line detection 3,1 Introductory remarks The extraction of line features from two-dimensional digital images has been a topic of considerable interest in the past two decades due to its numerous applications in astronomy, remote sensing, and medical fields. For example, typical problems in astronomy are the extraction of streaks corresponding to the trajectory of meteorites or satellites in space.

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