New PDF release: Analysis of Oriented Texture with Applications to the

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

ISBN-10: 1608450295

ISBN-13: 9781608450299

ISBN-10: 1608450309

ISBN-13: 9781608450305

The presence of orientated good points in pictures frequently conveys vital information regarding the scene or the items contained; the research of orientated styles is a vital job within the basic framework of photo figuring out. As in lots of different functions of laptop imaginative and prescient, the final framework for the certainty of orientated good points in photos might be divided into low- and high-level research. within the context of the learn of orientated positive factors, low-level research contains the detection of orientated gains in photographs; a degree of the neighborhood significance and orientation of orientated good points over the total sector of study within the snapshot is named the orientation box. High-level research pertains to the invention of styles within the orientation box, frequently 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 vital tools for the detection of orientated beneficial properties in photographs, and a dialogue of the part portrait technique for high-level research of orientation fields. that allows you to illustrate the innovations built in the course of the publication, an software is gifted of the part portrait technique to computer-aided detection of architectural distortion in mammograms. desk of Contents: Detection of orientated gains in pictures / research of orientated styles utilizing section snap shots / Optimization thoughts / Detection of websites of Architectural Distortion in Mammograms

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Additional resources for Analysis of Oriented Texture with Applications to the Detection of Architectural (Synthesis Lectures on Biomedical Engineering)

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12, the solution for v is obtained from the optimal value of u. 6. We propose an iterative, weighted estimation algorithm [49] to achieve improved minimization of the original error 2 (A, b), based on the linear least-squares algorithm presented above. Let Dj be an N × N diagonal matrix, which we shall call as the correction matrix, with the diagonal elements defined as di,i = 1 (vx )2i + (vy )2i . 14) Let M be the number of iterations (predetermined empirically as M = 5). 3. OPTIMIZATION PROCEDURES 47 1.

This condition is achieved if det (A) < 0. • Spiral — The components p(t) and q(t) are exponentially modulated sinusoidal functions; the resulting streamline forms a spiral curve. The eigenvalues of A form a pair of complex conjugate numbers with nonzero imaginary parts. 1. 1: Phase portraits for a system of linear first-order differential equations. Solid lines indicate the movement of the p(t) and the q(t) components of the solution; dashed lines indicate the streamlines. Reproduced with permission from F.

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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Analysis of Oriented Texture with Applications to the Detection of Architectural (Synthesis Lectures on Biomedical Engineering) by Fábio J. Ayres, Rangaraj M. Rangayyan, J.E. Leo Desautels

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