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Proceedings Paper

Global and local translation and magnification
Author(s): S. Umesh; Aibing Rao; Gabriel Cristobal; Leon Cohen; Jos H. van Deemter
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Paper Abstract

If we translate a function then all information about the translation appears in the phase of the Fourier transform of the translated function. Similarly if we magnify a function all information about the magnification appears in the phase of the scale transform. In the case where the function is translated or magnified and also warped we discuss how one can define approximate translation and magnification factors. We also discuss how these factors may depend on the phases and amplitude of functions. Partial answers to these questions are given. Also we discuss how one can define local and global translational and magnification factors.

Paper Details

Date Published: 14 October 1997
PDF: 12 pages
Proc. SPIE 3167, Statistical and Stochastic Methods in Image Processing II, (14 October 1997); doi: 10.1117/12.290274
Show Author Affiliations
S. Umesh, Indian Institute of Technology (India)
Aibing Rao, CUNY/Hunter College (United States)
Gabriel Cristobal, Consejo Superior de Investigaciones Cientificas (Spain)
Leon Cohen, CUNY/Hunter College (United States)
Jos H. van Deemter, Univ. of Groningen (Netherlands)

Published in SPIE Proceedings Vol. 3167:
Statistical and Stochastic Methods in Image Processing II
Francoise J. Preteux; Jennifer L. Davidson; Edward R. Dougherty, Editor(s)

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