function?[pointsedges]?=?lattice（XYconnect）
%Function?[pointsedges]=lattice（XYconnect）?generates?a?2D?
%“4-connected“?Cartesian?lattice?with?dimensions?X?and?Y.?
%
%Inputs:????X/Y?-?The?dimensions?of?the?lattice?（i.e.?the?number?of?
%???????????????nodes?will?equal?X*Y）
%???????????connect?-?Optional?iInteger?indicating?the?connectivity?of?
%???????????????the?lattice
%???????????????0?-?4-connected?（Default）
%???????????????1?-?8-connected
%???????????????K>1?-?Radially?connected?with?radius?=?K
%
%Outputs:???points?-?Nx2?lattice?nodes
%???????????edges?-?Mx2?lattice?edges
%
%
%6/5/03?-?Leo?Grady

%?Copyright?（C）?2002?2003?Leo?Grady?
%???Computer?Vision?and?Computational?Neuroscience?Lab
%???Department?of?Cognitive?and?Neural?Systems
%???Boston?University
%???Boston?MA??02215
%
%?This?program?is?free?software;?you?can?redistribute?it?and/or
%?modify?it?under?the?terms?of?the?GNU?General?Public?License
%?as?published?by?the?Free?Software?Foundation;?either?version?2
%?of?the?License?or?（at?your?option）?any?later?version.
%
%?This?program?is?distributed?in?the?hope?that?it?will?be?useful
%?but?WITHOUT?ANY?WARRANTY;?without?even?the?implied?warranty?of
%?MERCHANTABILITY?or?FITNESS?FOR?A?PARTICULAR?PURPOSE.??See?the
%?GNU?General?Public?License?for?more?details.
%
%?You?should?have?received?a?copy?of?the?GNU?General?Public?License
%?along?with?this?program;?if?not?write?to?the?Free?Software
%?Foundation?Inc.?59?Temple?Place?-?Suite?330?Boston?MA??02111-1307?USA.
%
%?Date?-?$Id:?lattice.mv?1.2?2003/08/21?17:29:29?lgrady?Exp?$
%========================================================================%

%Check?for?single?point
if?X*Y==1
????points=[1;1];
????edges=[];
????return
end

%Read?connect?argument
if?nargin?????connect=0;
end

if?connect?????%Generate?points
????rangex=0:（X-1）;
????rangey=0:（Y-1）;
????[x?y]=meshgrid（rangeyrangex）;
????points=[x（:）y（:）];
????N=X*Y;

????%Connect?points
????edges=[[1:N]‘[（1:N）+1]‘];
????edges=[[edges（:1）;[1:N]‘][edges（:2）;[1:N]‘+X]];
????if?connect?==?1?%8-connected
????????border=1:N;
????????border1=find（mod（borderX）-1）‘;
????????border2=find（mod（borderX））‘;
????????edges=[edges;[border1border1+X-1;border2border2+X+1]];
????end????
????excluded=find（（edges（:1）>N）|（edges（:1）<1）|（edges（:2）>N）|?...
????????（edges（:2）<1））;
????edges（[excluded;[X:X:（（Y-1）*X）]‘]:）=[];?
else?%Radial?connectivity
????%Generate?points
????X=X+2*connect;
????Y=Y+2*connect;
????rangex=0:（X-1）;
????rangey=0:（Y-1）;
????[x?y]=meshgrid（rangeyrangex）;
????points=[x（:）y（:）];
????N=X*Y;

????%Generate?adjacency?matrix
????distances=（points（:1）-floor（Y/2））.^2?+?（points（:2）-floor（X/2））.^2;
????inside=find（distances<=（connect^2））;
????adjVec=sparse（1inside11N）;
????midPoint=find（points（:1）==floor（Y/2）?&?points（:2）==floor（X/2））;
????%Adjust?vector?to?be?centered?around?diagonal
????adjVec=adjVec（[midPoint:N1:（midPoint-1）]）;
????adjVec（1）=0;?%Remove?self-connection
????W=circulan

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2015-04-25?16:57??test_pcnn\
?????文件???????49770??2015-04-24?10:34??test_pcnn\close.bmp
?????文件???????49770??2015-04-25?16:54??test_pcnn\close1.bmp
?????文件???????49770??2015-04-25?16:54??test_pcnn\close2.bmp
?????文件????????3298??2003-08-22?04:43??test_pcnn\lattice.m
?????文件??????144058??2015-04-23?19:53??test_pcnn\lena.bmp
?????文件???????49770??2015-04-24?10:35??test_pcnn\med.bmp
?????文件???????49770??2015-04-25?16:55??test_pcnn\med1.bmp
?????文件???????49770??2015-04-25?16:55??test_pcnn\med2.bmp
?????文件???????49770??2015-04-24?10:34??test_pcnn\moise.bmp
?????文件???????49770??2015-04-24?10:34??test_pcnn\open.bmp
?????文件???????49770??2015-04-25?16:54??test_pcnn\open1.bmp
?????文件???????49770??2015-04-25?16:54??test_pcnn\open2.bmp
?????文件???????49770??2015-04-24?10:35??test_pcnn\original.bmp
?????文件???????49770??2015-04-24?10:33??test_pcnn\pcnn_close.bmp
?????文件???????49770??2015-04-24?10:34??test_pcnn\pcnn_med.bmp
?????文件???????49770??2015-04-24?10:33??test_pcnn\pcnn_open.bmp
?????文件????????3051??2015-04-25?16:54??test_pcnn\pcnn_smooth.m
?????文件?????3148854??2015-04-24?10:38??test_pcnn\result.bmp
?????文件?????????809??2015-04-24?10:27??test_pcnn\test_pcnn.m
?????文件??????855004??2015-04-25?16:56??test_pcnn\test_pcnn.zip
?????文件???????12174??2015-04-25?16:57??test_pcnn\test_pcnn1.zip