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%?MONOFILT?-?Apply?monogenic?filters?to?an?image?to?obtain?2D?analytic?signal
%
%?Implementation?of?Felsberg‘s?monogenic?filters
%
%?Usage:?[f?h1f?h2f?A?theta?psi]?=?...
%?????????????monofilt(im?nscale?minWaveLength?mult?sigmaOnf?orientWrap)
%?????????????????????????????3?????????4???????????2?????0.65??????1/0
%?Arguments:
%?The?convolutions?are?done?via?the?FFT.??Many?of?the?parameters?relate?
%?to?the?specification?of?the?filters?in?the?frequency?plane.??
%
%???Variable???????Suggested???Description
%???name???????????value
%??----------------------------------------------------------
%????im????????????????????????Image?to?be?convolved.
%????nscale??????????=?3;??????Number?of?filter?scales.
%????minWaveLength???=?4;??????Wavelength?of?smallest?scale?filter.
%????mult????????????=?2;??????Scaling?factor?between?successive?filters.
%????sigmaOnf????????=?0.65;???Ratio?of?the?standard?deviation?of?the
%??????????????????????????????Gaussian?describing?the?log?Gabor?filter‘s
%??????????????????????????????transfer?function?in?the?frequency?domain
%??????????????????????????????to?the?filter?center?frequency.?
%????orientWrap???????1/0??????Optional?flag?1/0?to?turn?on/off
%??????????????????????????????‘wrapping‘?of?orientation?data?from?a
%??????????????????????????????range?of?-pi?..?pi?to?the?range?0?..?pi.
%??????????????????????????????This?affects?the?interpretation?of?the
%??????????????????????????????phase?angle?-?see?note?below.?Defaults?to?0.
%?Returns:
%??
%????????f??-?cell?array?of?bandpass?filter?responses?with?respect?to?scale.
%??????h1f??-?cell?array?of?bandpass?h1?filter?responses?wrt?scale.
%??????h2f??-?cell?array?of?bandpass?h2?filter?responses.
%????????A??-?cell?array?of?monogenic?energy?responses.
%????theta??-?cell?array?of?phase?orientation?responses.
%??????psi??-?cell?array?of?phase?angle?responses.
%
%?If?orientWrap?is?1?(on)?theta?will?be?returned?in?the?range?0?..?pi?and
%?psi?(the?phase?angle)?will?be?returned?in?the?range?-pi?..?pi.??If
%?orientWrap?is?0?theta?will?be?returned?in?the?range?-pi?..?pi?and?psi?will
%?be?returned?in?the?range?-pi/2?..?pi/2.??Try?both?options?on?an?image?of?a
%?circle?to?see?what?this?means!
%
%?Experimentation?with?sigmaOnf?can?be?useful?depending?on?your?application.
%?I?have?found?values?as?low?as?0.2?(a?filter?with?a?*very*?large?bandwidth)
%?to?be?useful?on?some?occasions.
%
%?See?also:?GABORCONVOLVE
%?References:
%?Michael?Felsberg?and?Gerald?Sommer.?“A?New?Extension?of?Linear?Signal
%?Processing?for?Estimating?Local?Properties?and?Detecting?Features“
%?DAGM?Symposium?2000?Kiel?
%
%?Michael?Felsberg?and?Gerald?Sommer.?“The?Monogenic?Signal“?IEEE
%?Transactions?on?Signal?Processing?49(12):3136-3144?December?2001
%?Copyright?(c)?2004-2005?Peter?Kovesi
%?School?of?Computer?Science?&?Software?Engineering
%?The?University?of?Western?Australia
%?http://www.csse.uwa.edu.au/
%?
%?Permission?is?hereby?granted?free?of?charge?to?any?person?obtaining?a?copy
%?of?this?sof
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