gen_gabor
— Generate a Gabor filter.
gen_gabor( : ImageFilter : Angle, Frequency, Bandwidth, Orientation, Norm, Mode, Width, Height : )
gen_gabor
generates a Gabor filter with a user-definable
bandpass frequency range and sign for the Hilbert transform. This
is done by calculating a symmetrical filter in the frequency domain,
which can be adapted by the parameters Angle
,
Frequency
, Bandwidth
and Orientation
such
that a certain frequency band and a certain direction range in the
spatial domain is filtered out in the frequency domain.
The parameters Frequency
(central frequency = distance from
the DC term) and Orientation
(direction) determine the
center of the filter. Larger values of Frequency
result in
higher frequencies being passed. A value of 0 for
Orientation
generates a horizontally oriented “crescent”
(the bulge of the crescent points upward). Higher values of
Orientation
result in the counterclockwise rotation of the
crescent.
The parameters Angle
and Bandwidth
are used to
determine the range of frequencies and angles being passed by the
filter. The larger Angle
is, the smaller the range of
angles passed by the filter gets (because the “crescent” gets
narrower). The larger Bandwidth
is, the smaller the
frequency band being passed gets (because the “crescent” gets
thinner).
To achieve a maximum overall efficiency of the filtering operation,
the parameter Norm
can be used to specify the normalization
factor of the filter. If fft_generic
and Norm
=
'n' is used the normalization in the FFT can be avoided.
Mode
can be used to determine where the DC term of the
filter lies. If fft_generic
is used, 'dc_edge' can
be used to gain efficiency. If fft_image
and
fft_image_inv
are used for filtering, Norm
=
'none' and Mode
= 'dc_center' must be
used. Note that gen_gabor
cannot create a filter that can
be used with rft_generic
.
The resulting image is a two-channel real-image, containing the Gabor filter in the first channel and the corresponding Hilbert filter in the second channel.
ImageFilter
(output_object) multichannel-image →
object (real)
Gabor and Hilbert filter.
Angle
(input_control) real →
(real)
Angle range, inversely proportional to the range of orientations.
Default value: 1.4
Suggested values: 1.0, 1.2, 1.4, 1.6, 2.0, 2.5, 3.0, 5.0, 6.0, 10.0, 20.0, 30.0, 50.0, 70.0, 100.0
Typical range of values: 1.0
≤
Angle
≤
500.0
Minimum increment: 0.001
Recommended increment: 0.1
Frequency
(input_control) real →
(real)
Distance of the center of the filter to the DC term.
Default value: 0.4
Suggested values: 0.0, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3, 0.35, 0.4, 0.45, 0.50, 0.55, 0.60, 0.65, 0.699
Typical range of values: 0.0
≤
Frequency
≤
0.7
Minimum increment: 0.00001
Recommended increment: 0.005
Bandwidth
(input_control) real →
(real)
Bandwidth range, inversely proportional to the range of frequencies being passed.
Default value: 1.0
Suggested values: 0.1, 0.3, 0.7, 1.0, 1.5, 2.0, 3.0, 5.0, 7.0, 10.0, 15.0, 20.0, 30.0, 50.0
Typical range of values: 0.05
≤
Bandwidth
≤
100.0
Minimum increment: 0.001
Recommended increment: 0.1
Orientation
(input_control) real →
(real)
Angle of the principal orientation.
Default value: 1.5
Suggested values: 0.0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0, 2.2, 2.4, 2.6, 2.8, 3.0, 3.14
Typical range of values: 0.0
≤
Orientation
≤
3.1416
Minimum increment: 0.0001
Recommended increment: 0.05
Norm
(input_control) string →
(string)
Normalizing factor of the filter.
Default value: 'none'
List of values: 'n' , 'none'
Mode
(input_control) string →
(string)
Location of the DC term in the frequency domain.
Default value: 'dc_center'
List of values: 'dc_center' , 'dc_edge'
Width
(input_control) integer →
(integer)
Width of the image (filter).
Default value: 512
Suggested values: 128, 160, 192, 256, 320, 384, 512, 640, 768, 1024, 2048, 4096, 8192
Height
(input_control) integer →
(integer)
Height of the image (filter).
Default value: 512
Suggested values: 120, 128, 144, 240, 256, 288, 480, 512, 576, 1024, 2048, 4096, 8192
gen_gabor(Filter,1.4,0.4,1.0,1.5,'n','dc_edge',512,512) fft_generic(Image,ImageFFT,'to_freq',-1,'none','dc_edge','complex') convol_gabor(ImageFFT,Filter,Gabor,Hilbert) fft_generic(Gabor,GaborInv,'from_freq',1,'none','dc_edge','byte') fft_generic(Hilbert,HilbertInv,'from_freq',1,'none','dc_edge','byte') energy_gabor(GaborInv,HilbertInv,Energy)
gen_gabor
returns TRUE if all parameters are correct. If
necessary, an exception is raised.
gen_bandpass
,
gen_bandfilter
,
gen_highpass
,
gen_lowpass
Foundation