% Env_Rbf.m
% BEMD
% Interpolation by radial basis functions from extrema or crest lines
%
% J.C. Nunes, Y. Bouaoune, E. Del閏helle, N. Oumar, and Ph. Bunel.
% "Image analysis by bidimensional empirical mode decomposition".
% Image and Vision Computing Journal (IVC), (to appear), 2003.
function [Ienvmin,Ienvmax,nbr_extrema]=Env_Rbf(I,ext_lpe)
global name
% si ext_lpe==1 interpolation par les extrema sinon par les lignes cr鑤es
[t1 t2]=size(I);
CONN=8;
h=1;
I2=double(I);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Calcul de l'image des minima
if ext_lpe==1
IMin=imregionalmin(I2);
IMin=double(IMin);
Imin=IMin.*I2;
else
I2_inv=double(imcomplement(double(I2)))*255;
IMin=watershed(I2_inv,CONN);
IMin=IMin==0;
IMin=double(IMin);
Imin=IMin.*I2;
clear I2_inv
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Calcul de l'image maxima
if ext_lpe==1
IMax=imregionalmax(I2);
IMax=double(IMax);
Imax=IMax.*I2;
else
IMax=watershed(I2,CONN);
IMax=IMax==0;
IMax=double(IMax);
Imax=IMax.*I2;
end
%%%%%%%%%%%%%%%%%%%%%% Les minima %%%%%%%%%%%%%%%%%%%%%%%
% Calcul enveloppe min
[x,y,z] = find(Imin); % on calcule l'env inf � partir des valeurs num閞iques min r間ionaux
datamin.Location(1,:)=x(:);
datamin.Location(2,:)=y(:);
datamin.Value=z';
nbr_extrema=length(y);
if length(y)<4
Ienvmin=I;
Ienvmax=I;
disp(['Pourquoi nbre de min si petit, nombre de min=' num2str(length(y))])
return
else
clear x y z
rbfmin=fastrbf_fit(datamin,0.00000001);
clear datamin
gmin=fastrbf_grideval(rbfmin,'spacing',1,'size',[t1,t2],'accuracy',0.001);
Ienvmin=gmin.Value; % enveloppe inf
clear gmin
end
%%%%%%%%%%%%%%%%%%%%%% Les minima %%%%%%%%%%%%%%%%%%%%%%%
% Calcul enveloppe max
[x,y,z] = find(Imax); % on calcule l'env max � partir des valeurs num閞iques max r間ionaux
datamax.Location(1,:)=x(:);
datamax.Location(2,:)=y(:);
datamax.Value=z';
nbr_extrema=nbr_extrema+length(y);
if length(y)<4
Ienvmin=I;
Ienvmax=I;
disp(['Pourquoi nbre de max si petit, nombre de max=' num2str(length(y))])
return
else
clear x y z
rbfmax=fastrbf_fit(datamax,0.00000001);
clear datamax
gmax=fastrbf_grideval(rbfmax,'spacing',1,'size',[t1,t2],'accuracy',0.001);
Ienvmax=gmax.Value;
clear gmax
end
clear gmax I2 rbfmax rbfmin IMax IMin
return
