Extended discrete fourier transform and parametric image...

Details Extended discrete fourier transform and parametric image... Extended discrete fourier transform and parametric image...

2005-01-04

2005-01-04

Mehta, Bhavesh M. (Department: 2625)

Image analysis

Image transformation or preprocessing

Fourier transform

C342S196000, C708S405000

Reexamination Certificate

active

06839471

ABSTRACT:
Computation of the Extended Discrete Fourier Transform (XDFT) for N×N input data (corresponding to an N×N image) gives additional information about each point in the image. This additional information can be presented in the form of a polar plot of magnitude vs. phase. Parameters derived from this plot allow novel parametric images to be obtained, giving additional information beyond that obtained by a conventional Discrete Fourier Transform. The plots can be manipulated (e.g. smoothed), corresponding to a new method of image processing for this kind of data. Applications of this new method are as widespread as the use of conventional Fourier transform analysis. The analysis is more computationally intensive than the well-known Fast Fourier Transform algorithm, but the extra information obtained and image processing capabilities can more than compensate for this.

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