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

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

The presence of orientated gains in pictures frequently conveys vital information regarding the scene or the gadgets contained; the research of orientated styles is a crucial job within the common framework of snapshot realizing. As in lots of different functions of desktop imaginative and prescient, the overall framework for the certainty of orientated beneficial properties in photos might be divided into low- and high-level research. within the context of the examine of orientated gains, low-level research contains the detection of orientated good points in photographs; a degree of the neighborhood importance and orientation of orientated good points over the whole sector of study within the photo is termed 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 booklet provides an research of numerous vital equipment for the detection of orientated good points in photographs, and a dialogue of the section portrait process for high-level research of orientation fields. in an effort to illustrate the techniques constructed in the course of the e-book, an software is gifted of the section portrait approach to computer-aided detection of architectural distortion in mammograms. desk of Contents: Detection of orientated positive aspects in photos / research of orientated styles utilizing section pics / Optimization strategies / Detection of web sites of Architectural Distortion in Mammograms

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11a. The lines are vertically oriented, with the length (or height) of 212 pixels, and widths varying from one to 32 pixels in steps of one pixel. This test image will be referred to as the multiscale test image in the following analysis. 11b). 66. This value represents the center of the line width range in the multiscale test image. 1. 83. 83, computed above. 20 1. 10: Cumulative angular error for each oriented feature detector: steerable filter (dotted line); quadrature steerable filter (dash-dot line); real Gabor filter (dashed line); complex Gabor filter (solid line); line operator (bold solid line).

Initialize the phase portrait maps to zero. 2. Move a sliding analysis window throughout the orientation field. 1 to find the optimal parameters Aopt and bopt that best describe the orientation field under the analysis window. (b) From Aopt and bopt , determine the type of phase portrait and the fixed point location associated with the orientation field under the analysis window. (c) Select the phase portrait map corresponding to the phase portrait type determined above. This procedure will be referred to as vote casting.

ILLUSTRATIVE EXAMPLES 37 3. An image with oriented texture was obtained by simulating the following differential equation over time: ∂ρ(x, y, t) + ∇ · (ρ(x, y, t) v(x, y)) = Iorig (x, y) , ∂t with the initial condition ρ(x, y, 0) = 0. This equation known as the continuity equation, or conservation-of-mass equation in fluid mechanics [47]. The noise image Iorig (x, y) is interpreted as a constant source of matter, and the generated matter flows through space with the velocity v(x, y). The differential equation was simulated over the interval t = 0 to t = 20 (arbitrary units of time), and the final oriented texture image is given as I (x, y) = ρ(x, y, 20).

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