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Since the computation is divided into two different parts, the image should be arranged in two components: the odd component of the image and the even one.
The image is first divided into two parts: the odd component which only contains the odd rows of the images (resp., even).
Therefore, according to (8), the analogy gives an expression of the Zernike moments which is function of (accumulation moments computed from the odd component of the image) and (accumulation moments computed from the even component of the image) by setting and : (24).
For example, 83 of 98 (84.7%) errors in the field for the size of the femoral head could be explained by an error in the Articular Surface Replacement (ASR; Depuy, Warsaw, Indiana) catalogue where odd component sizes were rounded down to the nearest even number.
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At Grand Avenue and Park Place, a rose window, coffered wall panels and an indented, arched entry worthy of a Norman church seem like odd components for a police building, but the architect was George Ingram, who in the 1890s made a specialty of such elaborate precincts.
H e and H o being the even and odd components of the Hartley transform [3].
Xodd can be recovered by extracting the odd components of Y followed by a hard or soft detection.
For instance, it appears when designing the even and odd components of paraunitary filters, which are widely used for signal compression and denoising purposes.
Since the odd components and the even components of two systems can be separately detected, different constellation combinations are taken into account for modulation.
In Fig. 5, the procedure of interpolation and decimation by 2 1 as the result of H1 and H0 defines all odd components of these signals to zero.
Then X is divided into two 2N×1 signal vectors, Xodd and Xeven, that consist of the odd components and the even components of X, which are shown as: (2) (3).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com