Read e-book online An introduction to the theory of multiply periodic functions PDF

By Henry Frederick Baker

ISBN-10: 1143122097

ISBN-13: 9781143122095

This can be a replica of a publication released sooner than 1923. This ebook could have occasional imperfections equivalent to lacking or blurred pages, negative images, errant marks, and so on. that have been both a part of the unique artifact, or have been brought through the scanning technique. We think this paintings is culturally very important, and regardless of the imperfections, have elected to convey it again into print as a part of our carrying on with dedication to the upkeep of published works world wide. We delight in your realizing of the imperfections within the renovation strategy, and wish you take pleasure in this beneficial publication.

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1). 67 pixels). 06 pixels). 38 pixels). 90 pixels). (g) Line operator (λ = 8 pixels). All images are of size 4096 × 512 pixels. Reproduced with permission from F. J. Ayres and R. M. Rangayyan. “Design and performance analysis of oriented feature detectors”. Journal of Electronic Imaging, 16(2):12 pages, April 2007. article number 023007. 4. DISCUSSION 23 by the steerable filter, the quadrature steerable filter, the real Gabor filter, and the complex Gabor filter. 8a. 20 GHz Pentium 4 processor, 2 MB of cache, and 2 GB of RAM).

9. It is observed that all of the oriented feature detectors studied present a reduction in AU C with increasing noise, as expected. The real Gabor filter is the most robust to 24 1. 9. This result can be explained in terms of the spatial extent of the filters investigated: the main lobe of the real Gabor filter has a larger length-to-width ratio than that of the other filters, thus enhancing more effectively the signal-to-noise ratio after filtering. 1 in the test image; conversion of the optimal scale range to millimeters is also given for easier comparison of the oriented feature detectors.

As a consequence, it is possible to iterate the algorithm in a practical situation without excessive computational burden. At each iteration, it is expected that the algorithm will result in an improved estimate of the true parameters of the phase portrait model. However, due to the fact that the algorithm requires a correction factor that is inversely proportional to the magnitude of v(x, y), numerical instabilities are possible. Hence, the algorithm is limited to a fixed number of iterations.

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An introduction to the theory of multiply periodic functions by Henry Frederick Baker

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