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Licensed Unlicensed Requires Authentication Published by De Gruyter (O) July 28, 2010

A cosine transform approach to indexing

Abstract

An approach to indexing is described which uses a cosine Fourier transform to obtain direct space cell vectors. The cosine function has the advantage of being relatively insensitive to small errors. A number of approaches are discussed for the generation of either (i) candidate direct space vectors themselves, or (ii) directional components of such vectors in order to reduce the three-dimensional transform to a one-dimensional one. In addition a method is described which makes effective use of known cell dimensions. It is shown that a modification of this method can be applied to discarded reflections in order to analyze for a rotational satellite or twin.

Published Online: 2010-7-28
Published in Print: 1997-2-1

© 2015 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München

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