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% LWP returns the local wavelet pattern histogram of an image.
% The original code of LBP is used and updated to the LWP by Shiv Ram Dubey, IIIT Allahabad
% This code can be used only for the academic and research purposes and can not be used for any commercial purposes.
% Cite the paper 'Shiv Ram Dubey, Satish Kumar Singh, Rajat Kumar Singh,
% "Local Wavelet Pattern: A New Feature Descriptor for Image Retrieval in Medical CT Databases,"
% IEEE Transactions on Image Processing, vol. 24, no. 12, pp. 5892-5903, 2015',
% In case you are using this code.
function h11=LWP(path_image)
% path_image='datasets\tcia-ct\01\tcia_ct_colo_prone (1).jpg';
img=imread(path_image);
if length(size(img))==3
img=rgb2gray(img);
end
% J = lwp1(I,R,N,MAPPING,MODE) returns a LWP histogram of an intensity image I.
% Use mapping as 0 for (i.e. no mapping).
% The only MODE we used is 'h' or 'hist' to get a histogram of mdLBP codes.
h11=lwp1(img,1,8,0,'h');
h11=h11/sum(h11);
end
function result = lwp1(varargin) % image,radius,neighbors,mapping,mode)
max_level=2; % Define the level of wavelet decomposition
error(nargchk(1,5,nargin));
image=varargin{1};
d_image=double(image);
if nargin==1
spoints=[-1 -1; -1 0; -1 1; 0 -1; -0 1; 1 -1; 1 0; 1 1];
neighbors=8;
mapping=0;
mode='h';
end
if (nargin == 2) && (length(varargin{2}) == 1)
error('Input arguments');
end
if (nargin > 2) && (length(varargin{2}) == 1)
radius=varargin{2};
neighbors=varargin{3};
spoints=zeros(neighbors,2);
% Angle step.
a = 2*pi/neighbors;
for i = 1:neighbors
spoints(i,1) = -radius*sin((i-1)*a);
spoints(i,2) = radius*cos((i-1)*a);
end
if(nargin >= 4)
mapping=varargin{4};
if(isstruct(mapping) && mapping.samples ~= neighbors)
error('Incompatible mapping');
end
else
mapping=0;
end
if(nargin >= 5)
mode=varargin{5};
else
mode='h';
end
end
if (nargin > 1) && (length(varargin{2}) > 1)
spoints=varargin{2};
neighbors=size(spoints,1);
if(nargin >= 3)
mapping=varargin{3};
if(isstruct(mapping) && mapping.samples ~= neighbors)
error('Incompatible mapping');
end
else
mapping=0;
end
if(nargin >= 4)
mode=varargin{4};
else
mode='h';
end
end
% Determine the dimensions of the input image.
[ysize xsize] = size(image);
miny=min(spoints(:,1));
maxy=max(spoints(:,1));
minx=min(spoints(:,2));
maxx=max(spoints(:,2));
bsizey=ceil(max(maxy,0))-floor(min(miny,0))+1;
bsizex=ceil(max(maxx,0))-floor(min(minx,0))+1;
% Coordinates of origin (0,0) in the block
origy=1-floor(min(miny,0));
origx=1-floor(min(minx,0));
if(xsize < bsizex || ysize < bsizey)
error('Too small input image. Should be at least (2*radius+1) x (2*radius+1)');
end
dx = xsize - bsizex;dy = ysize - bsizey;
C = image(origy:origy+dy,origx:origx+dx);d_C = double(C);
for i = 1:neighbors
y = spoints(i,1)+origy;
x = spoints(i,2)+origx;
% Calculate floors, ceils and rounds for the x and y.
fy = floor(y); cy = ceil(y); ry = round(y);
fx = floor(x); cx = ceil(x); rx = round(x);
% Check if interpolation is needed.
if (abs(x - rx) < 1e-6) && (abs(y - ry) < 1e-6)
% Interpolation is not needed, use original datatypes
N(:,:,i) = image(ry:ry+dy,rx:rx+dx);
else
% Interpolation needed, use double type images
ty = y - fy;
tx = x - fx;
% Calculate the interpolation weights.
w1 = (1 - tx) * (1 - ty);
w2 = tx * (1 - ty);
w3 = (1 - tx) * ty ;
w4 = tx * ty ;
% Compute interpolated pixel values
N(:,:,i) = w1*d_image(fy:fy+dy,fx:fx+dx) + w2*d_image(fy:fy+dy,cx:cx+dx) + ...
w3*d_image(cy:cy+dy,fx:fx+dx) + w4*d_image(cy:cy+dy,cx:cx+dx);
end
end
N=double(N);
tmp=N;
for level=1:max_level
nb_count=neighbors/(2.^level);
for i=1:nb_count
diff(:,:,i+nb_count)=((tmp(:,:,2*i-1)-tmp(:,:,2*i))/1.414) ...
> ((2.^(level/2))*d_C-(2.^(level/2-1))*255);
tmp(:,:,i)=(tmp(:,:,2*i-1)+tmp(:,:,2*i))/1.414;
end
if level==max_level
for i=1:nb_count
diff(:,:,i)=tmp(:,:,i) > (2.^(level/2))*d_C;
end
end
end
result=zeros(dy+1,dx+1);
for i=1:neighbors
result=result+diff(:,:,i)*(2.^(i-1));
end
bins=2.^neighbors;
result=hist(result(:),0:(bins-1));
end