📄 spiht_enc.m
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function out=SPIHT_Enc(m,level,rate)
% Matlab implementation of SPIHT (without Arithmatic coding stage)
%
% Encoder
%
% input: m : input image in wavelet domain
% level : wavelet decomposition level
% rate : bits per pixel
% output: out : bit stream
%
%----------- Initialization -----------------
[nRow nColumn]=size(m);
OrigSize = nRow*nColumn;%size(Orig_I, 1);
max_bits = floor(rate * OrigSize);
bitctr = 0;
out = 2*ones(1,max_bits - 14);%initialization 2
n_max = floor(log2(abs(max(max(m)'))));
Bits_Header = 0;
Bits_LSP = 0;
Bits_LIP = 0;
Bits_LIS = 0;
%----------- output bit stream header ----------------
% image size, number of bit plane, wavelet decomposition level should be
% written as bit stream header.
out(1,[1 2 3 4 5]) = [nRow nColumn n_max level rate]; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
bitctr = bitctr + 24;
index = 5;
Bits_Header = Bits_Header + 24;
%----------- Initialize LIP, LSP, LIS ----------------
temp = [];
% bandsize = 2.^(log2(size(m, 1)) - level + 1);
% temp1 = 1 : bandsize;
% for i = 1 : bandsize
% temp = [temp; temp1];
% end
bandsize2 = nRow/(2.^level)*2;
bandsize = nColumn/(2.^level)*2;
temp1 = 1 : bandsize;
temp2 = 1 : bandsize2;
for i = 1 : bandsize2
temp = [temp; temp1];
end
for i = 1 : bandsize2
for j=1:bandsize
LIP((i-1)*bandsize+j,1) = i;
LIP((i-1)*bandsize+j,2) = j;
end
end
% LIP(:, 1) = temp(:);
temp = temp';
% LIP(:, 2) = temp(:);
LIS(:, 1) = LIP(:, 1);
LIS(:, 2) = LIP(:, 2);
LIS(:, 3) = zeros(length(LIP(:, 1)), 1);
pstart = 1;
pend = bandsize / 2;
for i = 1 : bandsize2 / 2
LIS(pstart : pend, :) = [];
pdel = pend - pstart + 1;
pstart = pstart + bandsize - pdel;
pend = pend + bandsize - pdel;
end
LSP = [];
n = n_max;
%----------- coding ----------------
while(bitctr < max_bits)
% Sorting Pass
LIPtemp = LIP; temp = 0;
for i = 1:size(LIPtemp,1)
temp = temp+1;
if (bitctr + 1) >= max_bits
if (bitctr < max_bits)
out(length(out))=[];
end
return
end
if abs(m(LIPtemp(i,1),LIPtemp(i,2))) >= 2^n % 1: positive; 0: negative
out(index) = 1; bitctr = bitctr + 1;
index = index +1; Bits_LIP = Bits_LIP + 1;
sgn = m(LIPtemp(i,1),LIPtemp(i,2))>=0;
out(index) = sgn; bitctr = bitctr + 1;
index = index +1; Bits_LIP = Bits_LIP + 1;
LSP = [LSP; LIPtemp(i,:)];
LIP(temp,:) = []; temp = temp - 1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1;
Bits_LIP = Bits_LIP + 1;
end
end
LIStemp = LIS; temp = 0; i = 1;
while ( i <= size(LIStemp,1))
temp = temp + 1;
if LIStemp(i,3) == 0
if bitctr >= max_bits
return
end
max_d = func_MyDescendant(LIStemp(i,1),LIStemp(i,2),LIStemp(i,3),m);
if max_d >= 2^n
out(index) = 1; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
x = LIStemp(i,1); y = LIStemp(i,2);
if (bitctr + 1) >= max_bits
if (bitctr < max_bits)
out(length(out))=[];
end
return
end
if abs(m(2*x-1,2*y-1)) >= 2^n
LSP = [LSP; 2*x-1 2*y-1];
out(index) = 1; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
sgn = m(2*x-1,2*y-1)>=0;
out(index) = sgn; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
LIP = [LIP; 2*x-1 2*y-1];
end
if (bitctr + 1) >= max_bits
if (bitctr < max_bits)
out(length(out))=[];
end
return
end
if abs(m(2*x-1,2*y)) >= 2^n
LSP = [LSP; 2*x-1 2*y];
out(index) = 1; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
sgn = m(2*x-1,2*y)>=0;
out(index) = sgn; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
LIP = [LIP; 2*x-1 2*y];
end
if (bitctr + 1) >= max_bits
if (bitctr < max_bits)
out(length(out))=[];
end
return
end
if abs(m(2*x,2*y-1)) >= 2^n
LSP = [LSP; 2*x 2*y-1];
out(index) = 1; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
sgn = m(2*x,2*y-1)>=0;
out(index) = sgn; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
LIP = [LIP; 2*x 2*y-1];
end
if (bitctr + 1) >= max_bits
if (bitctr < max_bits)
out(length(out))=[];
end
return
end
if abs(m(2*x,2*y)) >= 2^n
LSP = [LSP; 2*x 2*y];
out(index) = 1; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
sgn = m(2*x,2*y)>=0;
out(index) = sgn; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
LIP = [LIP; 2*x 2*y];
end
if ((2*(2*x)-1) < size(m) & (2*(2*y)-1) < size(m))
LIS = [LIS; LIStemp(i,1) LIStemp(i,2) 1];
LIStemp = [LIStemp; LIStemp(i,1) LIStemp(i,2) 1];
end
LIS(temp,:) = []; temp = temp-1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
end
else
if bitctr >= max_bits
return
end
max_d = func_MyDescendant(LIStemp(i,1),LIStemp(i,2),LIStemp(i,3),m);
if max_d >= 2^n
out(index) = 1; bitctr = bitctr + 1;
index = index +1;
x = LIStemp(i,1); y = LIStemp(i,2);
LIS = [LIS; 2*x-1 2*y-1 0; 2*x-1 2*y 0; 2*x 2*y-1 0; 2*x 2*y 0];
LIStemp = [LIStemp; 2*x-1 2*y-1 0; 2*x-1 2*y 0; 2*x 2*y-1 0; 2*x 2*y 0];
LIS(temp,:) = []; temp = temp - 1;
else
out(index) = 0; bitctr = bitctr + 1;
index = index +1; Bits_LIS = Bits_LIS + 1;
end
end
i = i+1;
end
% Refinement Pass
temp = 1;
value = floor(abs(2^(n_max-n+1)*m(LSP(temp,1),LSP(temp,2))));
while (value >= 2^(n_max+2) & (temp <= size(LSP,1)))
if bitctr >= max_bits
return
end
s = bitget(value,n_max+2);
out(index) = s; bitctr = bitctr + 1;
index = index +1; Bits_LSP = Bits_LSP + 1;
temp = temp + 1;
if temp <= size(LSP,1)
value = floor(abs(2^(n_max-n+1)*m(LSP(temp,1),LSP(temp,2))));
end
end
n = n - 1;
end
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