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圖像有效地亞像素配準方法,利用相位相關法求取像素級位移,再用矩陣傅里葉變換求取亞像素位移,用matlab編寫的代碼。

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代碼片段和文件信息



function?[output?Greg]?=?dftregistration(buf1ftbuf2ftusfac)
%?function?[output?Greg]?=?dftregistration(buf1ftbuf2ftusfac);
%?Efficient?subpixel?image?registration?by?crosscorrelation.?This?code
%?gives?the?same?precision?as?the?FFT?upsampled?cross?correlation?in?a
%?small?fraction?of?the?computation?time?and?with?reduced?memory?
%?requirements.?It?obtains?an?initial?estimate?of?the?crosscorrelation?peak
%?by?an?FFT?and?then?refines?the?shift?estimation?by?upsampling?the?DFT
%?only?in?a?small?neighborhood?of?that?estimate?by?means?of?a?
%?matrix-multiply?DFT.?With?this?procedure?all?the?image?points?are?used?to
%?compute?the?upsampled?crosscorrelation.
%?Manuel?Guizar?-?Dec?13?2007

%?Portions?of?this?code?were?taken?from?code?written?by?Ann?M.?Kowalczyk?
%?and?James?R.?Fienup.?
%?J.R.?Fienup?and?A.M.?Kowalczyk?“Phase?retrieval?for?a?complex-valued?
%?object?by?using?a?low-resolution?image“?J.?Opt.?Soc.?Am.?A?7?450-458?
%?(1990).

%?Citation?for?this?algorithm:
%?Manuel?Guizar-Sicairos?Samuel?T.?Thurman?and?James?R.?Fienup?
%?“Efficient?subpixel?image?registration?algorithms“?Opt.?Lett.?33?
%?156-158?(2008).

%?Inputs
%?buf1ft????Fourier?transform?of?reference?image?
%???????????DC?in?(11)???[DO?NOT?FFTSHIFT]
%?buf2ft????Fourier?transform?of?image?to?register?
%???????????DC?in?(11)?[DO?NOT?FFTSHIFT]
%?usfac?????Upsampling?factor?(integer).?Images?will?be?registered?to?
%???????????within?1/usfac?of?a?pixel.?For?example?usfac?=?20?means?the
%???????????images?will?be?registered?within?1/20?of?a?pixel.?(default?=?1)

%?Outputs
%?output?=??[errordiffphasenet_row_shiftnet_col_shift]
%?error?????Translation?invariant?normalized?RMS?error?between?f?and?g
%?diffphase?????Global?phase?difference?between?the?two?images?(should?be
%???????????????zero?if?images?are?non-negative).
%?net_row_shift?net_col_shift???Pixel?shifts?between?images
%?Greg??????(Optional)?Fourier?transform?of?registered?version?of?buf2ft
%???????????the?global?phase?difference?is?compensated?for.

%?Default?usfac?to?1
if?exist(‘usfac‘)~=1?usfac=1;?end

%?Compute?error?for?no?pixel?shift
if?usfac?==?0
????CCmax?=?sum(sum(buf1ft.*conj(buf2ft)));?
????rfzero?=?sum(abs(buf1ft(:)).^2);
????rgzero?=?sum(abs(buf2ft(:)).^2);?
????error?=?1.0?-?CCmax.*conj(CCmax)/(rgzero*rfzero);?
????error?=?sqrt(abs(error));
????diffphase=atan2(imag(CCmax)real(CCmax));?
????output=[errordiffphase];
????????
%?Whole-pixel?shift?-?Compute?crosscorrelation?by?an?IFFT?and?locate?the
%?peak
elseif?usfac?==?1
????[mn]=size(buf1ft);
????CC?=?ifft2(buf1ft.*conj(buf2ft));
????[max1loc1]?=?max(CC);
????[max2loc2]?=?max(max1);
????rloc=loc1(loc2);
????cloc=loc2;
????CCmax=CC(rloccloc);?
????rfzero?=?sum(abs(buf1ft(:)).^2)/(m*n);
????rgzero?=?sum(abs(buf2ft(:)).^2)/(m*n);?
????error?=?1.0?-?CCmax.*conj(CCmax)/(rgzero(11)*rfzero(11));
????error?=?sqrt(abs(error));
????diffphase=atan2(imag(CCmax)real(CCmax));?
????md

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件??????520978??2008-06-17?12:52??12.pdf
?????文件??????253267??2008-06-17?12:51??9.pdf
?????文件??????225070??2008-06-17?09:58??943D5A95-BDB9-137E-CC1957D25CE710E6_148843.pdf
?????文件????????8234??2008-01-18?10:13??dftregistration.m
?????文件????????4859??2008-01-18?10:02??efficient_subpixel_registration.m
?????文件?????????239??2008-06-16?23:12??efficient_subpixel_registration.txt
?????文件???????12737??2008-01-18?10:10??html\efficient_subpixel_registration.html
?????文件????????2956??2008-01-18?10:10??html\efficient_subpixel_registration.png
?????文件??????140383??2008-01-18?10:10??html\efficient_subpixel_registration_01.png
?????文件???????84395??2008-01-18?10:10??html\efficient_subpixel_registration_02.png
?????文件????????9216??2008-01-18?10:11??html\Thumbs.db
?????文件????????1407??2008-06-17?10:01??translate.htm

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