Global and local translation and magnification

S. Umesh; Aibing Rao; Gabriel Cristobal; Leon Cohen; Jos H. van Deemter

doi:10.1117/12.290274

14 October 1997 Global and local translation and magnification

S. Umesh, Aibing Rao, Gabriel Cristobal, Leon Cohen, Jos H. van Deemter

Proceedings Volume 3167, Statistical and Stochastic Methods in Image Processing II; (1997) https://doi.org/10.1117/12.290274
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

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.

Citation Download Citation

S. Umesh, Aibing Rao, Gabriel Cristobal, Leon Cohen, and Jos H. van Deemter "Global and local translation and magnification", Proc. SPIE 3167, Statistical and Stochastic Methods in Image Processing II, (14 October 1997); https://doi.org/10.1117/12.290274

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