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Examine the code for a Java class that can be used to perform forward and inverse 2D Fourier transforms on 3D surfaces in the space domain. Learn how the 2D Fourier transform behaves for a variety of different sample surfaces in the space domain.
Revised: Wed Oct 21 16:16:44 CDT 2015
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Digital Signal Processing - DSP
Table of contents
Preface
This is the second module in a two-part series. The first part published
earlier was titled
Java1490-2D Fourier Transforms using Java, Part 1 . In this module, I will
teach you how to perform two-dimensional (2D) Fourier transforms using Java. Iwill
- Explain the conceptual and computational aspects of 2D Fourier
transforms
- Explain the relationship between the space domain and the
wavenumber domain
- Provide sufficient background information that you will be able to
appreciate the importance of the 2D Fourier transform
- Provide Java software to perform 2D Fourier transforms
- Provide Java software to test and exercise that capability
Two separate programs
I will present and explain two separate programs. One program consists of a
single class named
ImgMod30 . The purpose of this class is to
satisfy the computational requirements for forward and inverse 2D Fouriertransforms. This class also provides a method for rearranging the spectral data
into a more useful format for plotting. The second program named
ImgMod31 will be used to test the 2D Fourier transform class, and also
to illustrate the use of 2D Fourier transforms for some well known samplesurfaces.
A third class named
ImgMod29 will be used to display various
3D surfaces resulting from the application of the 2D Fourier transform. Iexplained this class in an earlier module titled
Plotting 3D Surfaces using Java .
Using the class named ImgMod30
The 2D Fourier transform class couldn't be easier to use. To perform a
forward transform execute a statement similar to the following:
ImgMod30.xform2D(spatialData,realSpect,
imagSpect,amplitudeSpect);
The first parameter in the above statement is a reference to an array object
containing the data to be transformed. The other three parameters refer to arrayobjects that will be populated with the results of the transform.
To perform an inverse transform execute a statement similar to the following:
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Source:
OpenStax, Digital signal processing - dsp. OpenStax CNX. Jan 06, 2016 Download for free at https://legacy.cnx.org/content/col11642/1.38
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