Analysis of Oriented Texture with Applications to the by Fábio J. Ayres, Rangaraj M. Rangayyan, J.E. Leo Desautels

By Fábio J. Ayres, Rangaraj M. Rangayyan, J.E. Leo Desautels

The presence of orientated good points in photographs usually conveys very important information regarding the scene or the gadgets contained; the research of orientated styles is a crucial job within the basic framework of picture figuring out. As in lots of different purposes of desktop imaginative and prescient, the overall framework for the knowledge of orientated positive aspects in photographs will be divided into low- and high-level research. within the context of the learn of orientated positive aspects, low-level research comprises the detection of orientated positive aspects in photos; a degree of the neighborhood importance and orientation of orientated positive factors over the complete zone of study within the photo is named the orientation box. High-level research pertains to the invention of styles within the orientation box, often by means of associating the constitution perceived within the orientation box with a geometric version. This e-book provides an research of a number of very important equipment for the detection of orientated positive aspects in photos, and a dialogue of the part portrait strategy for high-level research of orientation fields. so one can illustrate the techniques built in the course of the ebook, an program is gifted of the section portrait option to computer-aided detection of architectural distortion in mammograms. desk of Contents: Detection of orientated good points in photos / research of orientated styles utilizing section pics / Optimization options / Detection of web sites of Architectural Distortion in Mammograms

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3. It can be observed that the real Gabor filter has the best combined robustness measure, followed by the line operator, the steerable filter, the complex Gabor, and quadrature steerable filters. Therefore, the ranking of the oriented feature detectors according to the combined robustness measure is consistent with the preceding discussion. The superior performance of the real Gabor, the line operator, and the steerable filters is due to the fact that the test pattern used to study the oriented feature detectors consists of line segments of positive contrast; therefore, the filters have an intrinsic advantage in the detection of the lines in the test pattern.

2. 2 by associating the vector v with the state velocity (p(t), ˙ q(t)), ˙ and the position (x, y) with the state (p(t), q(t)). 8) which is the angle of the vector v with the x axis. 1 lists the three phase portraits and the corresponding orientation fields generated by a system of linear first-order differential equations. 2. Let us denote by M(x, y) and θ(x, y) the magnitude and angle components of the orientation field of I (x, y). At every pixel location (x, y), define the error between θ(x, y) and a synthetic orientation field φ(x, y|A, b) as r(x, y) = sin (θ (x, y) − φ(x, y|A, b)) .

In this chapter, the method of phase portraits is described and illustrative examples are given. We employ the phase portrait method for the detection of architectural distortion in mammograms. 1 PHASE PORTRAITS Phase portraits provide an analytical tool to study systems of first-order differential equations [46]. 1) where the dot above the variable indicates the first-order derivative of the function with respect to time, and F and G represent functions of p and q. 1 can be viewed as a parametric trajectory of a hypothetical particle in the pq plane, placed at (p(0), q(0)) at time t = 0, and moving through the pq plane with velocity (p(t), ˙ q(t)).

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