function?[nr]?=?boxcount（cvarargin）
%BOXCOUNT??Box-Counting?of?a?D-dimensional?array?（with?D=123）.
%???[N?R]?=?BOXCOUNT（C）?where?C?is?a?D-dimensional?array?（with?D=123）
%???counts?the?number?N?of?D-dimensional?boxes?of?size?R?needed?to?cover
%???the?nonzero?elements?of?C.?The?box?sizes?are?powers?of?two?i.e.?
%???R?=?1?2?4?...?2^P?where?P?is?the?smallest?integer?such?that
%???MAX（SIZE（C））?<=?2^P.?If?the?sizes?of?C?over?each?dimension?are?smaller
%???than?2^P?C?is?padded?with?zeros?to?size?2^P?over?each?dimension?（e.g.
%???a?320-by-200?image?is?padded?to?512-by-512）.?The?output?vectors?N?and?R
%???are?of?size?P+1.?For?a?RGB?color?image?（m-by-n-by-3?array）?a?summation
%???over?the?3?RGB?planes?is?done?first.
%
%???The?Box-counting?method?is?useful?to?determine?fractal?properties?of?a
%???1D?segment?a?2D?image?or?a?3D?array.?If?C?is?a?fractal?set?with
%???fractal?dimension?DF?%???Minkowski-Bouligand?dimension?or?Kolmogorov?capacity?or?Kolmogorov
%???dimension?or?simply?box-counting?dimension.
%
%???BOXCOUNT（C‘plot‘）?also?shows?the?log-log?plot?of?N?as?a?function?of?R
%???（if?no?output?argument?this?option?is?selected?by?default）.
%
%???BOXCOUNT（C‘slope‘）?also?shows?the?semi-log?plot?of?the?local?slope
%???DF?=?-?dlnN/dlnR?as?a?function?of?R.?If?DF?is?contant?in?a?certain
%???range?of?R?then?DF?is?the?fractal?dimension?of?the?set?C.
%
%???The?execution?time?depends?on?the?sizes?of?C.?It?is?fastest?for?powers
%???of?two?over?each?dimension.
%
%???Examples:
%
%??????%?Plots?the?box-count?of?a?vector?containing?randomly-distributed
%??????%?0?and?1.?This?set?is?not?fractal:?one?has?N?=?R^-2?at?large?R
%??????%?and?N?=?cste?at?small?R.
%??????c?=?（rand（12048）<0.2）;
%??????boxcount（c）;
%
%??????%?Plots?the?box-count?and?the?fractal?dimension?of?a?2D?fractal?set
%??????%?of?size?512^2?（obtained?by?BOXDIV）?with?fractal?dimension
%??????%?DF?=?2?+?log（P）?/?log（2）?=?1.68?（with?P=0.8）.
%??????c?=?randcantor（0.8?512?2）;
%??????boxcount（c）;
%??????figure?boxcount（c?‘slope‘）;
%
%???F.?Moisy
%???Revision:?2.00??Date:?2006/11/22


%?History:
%?2006/11/22:?joins?into?a?single?file?boxcountn?（n=123）.


%?control?input?argument
error（nargchk（12nargin））;

%?check?for?true?color?image?（m-by-n-by-3?array）
if?ndims（c）==3
????if?size（c3）==3?&&?size（c1）>=8?&&?size（c1）>=8
????????c?=?sum（c3）;
????end;
end;

warning?off
c?=?logical（squeeze（c））;
warning?on

dim?=?ndims（c）;?%?dim?is?2?for?a?vector?or?a?matrix?3?for?a?cube
if?dim>3
????error（‘Maximum?dimension?is?3.‘）;
end

%?transpose?the?vector?to?a?1-by-n?vector
if?length（c）==numel（c）
????dim=1;
????if?size（c1）~=1???
????????c?=?c‘;
????end???
end

width?=?max（size（c））;????%?largest?size?of?the?box
p?=?log（width）/log（2）;???%?nbre?of?generations

%?remap?the?array?if?the?sizes?are?not?all?equal
%?or?if?they?are?not?power?of?two
%?（this?slows?down?the?computation!）
if?p~=round（p）?||?any（size（c）~=width）
????p?=?ceil（p）;
????width?=?2^p

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件????1651723??2009-03-18?20:50??計算1D2D3D的分形盒維數\71477227box-counting.rar

?????文件??????37254??2006-11-14?13:04??計算1D2D3D的分形盒維數\box-counting\Apollonian_gasket.gif

?????文件???????5587??2006-11-21?12:43??計算1D2D3D的分形盒維數\box-counting\boxcount.m

?????文件????????198??2006-11-21?12:40??計算1D2D3D的分形盒維數\box-counting\Contents.m

?????文件???????4998??2006-11-21?12:50??計算1D2D3D的分形盒維數\box-counting\demo.m

?????文件??????30608??2006-11-21?00:00??計算1D2D3D的分形盒維數\box-counting\dla.gif

?????文件????1125602??2006-11-20?17:03??計算1D2D3D的分形盒維數\box-counting\fractal_tree.jpg

?????文件??????15947??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo.html

?????文件???????1541??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo.png

?????文件??????17927??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_01.png

?????文件???????4913??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_02.png

?????文件???????5947??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_03.png

?????文件???????4489??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_04.png

?????文件???????8783??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_05.png

?????文件???????5058??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_06.png

?????文件???????4576??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_07.png

?????文件?????347480??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_08.png

?????文件??????19070??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_09.png

?????文件???????4738??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_10.png

?????文件??????15346??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_11.png

?????文件???????4383??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_12.png

?????文件???????5297??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_13.png

?????文件???????2329??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_14.png

?????文件???????4747??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_15.png

?????文件???????3714??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html\demo_16.png

????..A.SH.?????45056??2008-05-27?10:59??計算1D2D3D的分形盒維數\box-counting\html\Thumbs.db

?????文件???????5221??2006-11-21?12:42??計算1D2D3D的分形盒維數\box-counting\randcantor.m

????..AD...?????????0??2006-11-21?12:57??計算1D2D3D的分形盒維數\box-counting\html

?????目錄??????????0??2008-05-24?21:46??計算1D2D3D的分形盒維數\box-counting

?????目錄??????????0??2009-03-18?20:50??計算1D2D3D的分形盒維數

............此處省略3個文件信息