FourierFiltering

This sample program demonstrates how to:

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Compute the direct Fourier transform.

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Compute the inverse Fourier transform.

The process steps are:

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Load a grayscale image and a mask.

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Compute the direct Fourier transform on the grayscale image.

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Apply the mask on the frequency domain of the image (as an element-wise multiplication where the mask is a binary image).

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Compute the inverse Fourier transform of this masked frequency image.

NOTE:

This sample program focuses on the computation of the direct and inverse Fourier transforms more than on the filtering by masking.

1.

Compute the direct Fourier transform.

EImageBW8 grayscale; // should be already loaded

EImageBW32f frequency(grayscale.GetWidth * 2, grayscale.GetHeight);

EFourierTransformer fourier;
fourier.SetFrequentialDomainFormat(EFrequentialDomainFormat_ComplexExtended);
fourier.DirectTransform(grayscale, frequency);

2.

Compute the inverse Fourier transform.

EImageBW32f frequency; // should be already computed

EImageBW8 grayscale(frequency.GetWidth / 2, frequency.GetHeight);

EFourierTransformer fourier;
fourier.SetFrequentialDomainFormat(EFrequentialDomainFormat_ComplexExtended);
fourier.InverseTransform (frequency, grayscale);