itkAnalyticSignalImageFilter Class Reference

#include <itkAnalyticSignalImageFilter.h>

Detailed Description

Generates the analytic signal from one direction of an image.

This filter generates the complex valued analytic signal along one direction of an image. This input is a real valued image, and the output is a complex image.

The analytic signal is given by

f_a(x) = f(x) - i f_H(x)

Where i is the square root of one and f_H(x) is the Hibert transform of f(x).

Since the Hilbert transform in the Fourier domain is

F_H(k) = F(k) i sign(k),

f_a(x) is calculated by

f_a(x) = F^{-1}( F(k) 2 U(k) )

where U(k) is the unit step function.

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The documentation for this class was generated from the following file:

• itkAnalyticSignalImageFilter.h