《huffman编码(哈夫曼编码)的matlab实现》由会员分享,可在线阅读,更多相关《huffman编码(哈夫曼编码)的matlab实现(4页珍藏版)》请在金锄头文库上搜索。
1、clear allfprintf(Reading data.)data=imread(cameraman.tif);data=uint8(data);%读入数据,并将数据限制为uint8fprintf(Done!n)%编码压缩fprintf(compressing data.);zipped,info=norm2huff(data);fprintf(Done!n)%解压缩fprintf(compressing data.);unzipped=huff2norm(zipped,info);fprintf(Done!n)%测试是否无失真isOK=isequal(data(:),unzipped(:
2、)%显示压缩效果whos data zipped unzippedfunction zipped,info=norm2huff(vector)ifisa(vector,uint8),error(input argument must be a uint8 vector)endvector=vector(:);%将输入向量转换为行向量f=frequency(vector);%计算个元素出现的概率simbols=find(f=0);f=f(simbols);%将元素按出现的概率排列f,sortindex=sot(f);simbols=simbols(sortindex);%产生码字 generat
3、e the codeword as the 52 bits of a doublelen=length(simbols);simbols_index=num2cell(1:len);codeword_tmp=cell(len,1);while length(f)1,index1=simbols_index1;index2=simbols_index2;codeword_tmp(index1)=addnode(codeword_tmp(index1),uint8(0);codeword_tmp(index2)=addnode(codeword_tmp(index2),uint8(1);f=sum
4、(f(1:2) f(3:end);simbols_index=index1 index2 simbols_index(3:end);%将数据重新排列,是两个节点的频率尽量与前一个节点的频率想当resort data in order to have two nodes with lower frequency asfirst to f,sortindex=sort(f);simbols_index=simbols_index(sortindex);end%对应相应的元素与码字codeword=cell(256:1);codeword(simbols)=codeword_tmp;%计算总的字符串
5、长度len=0;for index=1:length(vector),len=len+length(codeworddouble(vector(index)+1);end%产生01序列string=repmat(uint8(0),1,len);pointer=1;for index=1:length(vector),code=codeworddouble(vector(index)+1;len=length(code);string(pointer+(0:len-1)=code;pointer=pointer+len;end%如果需要,加零len=length(string);pad=8-mo
6、d(len,8);if pad0,string=string uint8(zeros(1,pad);end%保存实际有用的码字codeword=codeword(simbols);codelen=zeros(size(codeword);weights=2.(0:23);maxcodelen=0;for index 1:length(codeword),len=length(codewordindex);if lenmaxcodelen,maxcodelen=len;endif len0,code=sum(weights(codewordindex=1);code=bitset(code,le
7、n+1);codewordindex=code;codelen(index)=len;endendcodeword=codeword:%计算压缩后的向量cols=length(string)/8;string=reshape(string,8,cols);weights=2.(0:7);zipped=uint8(weights*double(string);%存储一个稀疏矩阵huffcodes=sparse(1,1);% init sparse matrixfor index=1:numel(codeword),huffcodes(codeword(index),1)=simbols(inde
8、x);end%产生信息结构体info.pad=pad;info.ratio=cols./length(vector);info.length=length(vector);info.maxcodelen=maxcodelen;function codeword_new=addnode(codeword_old,item)codeword_new=cell(size(codeword_old);for index=1:length(codeword_old),codeword_newindex=item codeword_oldindex;endfunction vector=huff2norm
9、(zipped,info)%HUFF2NORM Huffman 解码器%HUFF2NORM(X,INFO)根据信息体结构 info 返回向量 zipped 的解码结果%矩阵参数以X(:)形式输入ifisa(zipped,uint8),error(input argument must be a uint8 vector)end%产生01序列len=length(zipped);string=repmat(uint8(0),1,len.*8);bitindex=1:8;for index+1:len,string(bitindex+8.*(index-1)=uint8(bitget(zipped
10、(index),bitindex);end%调整字符串string=logical(string(:);% remove 0 paddinglen=length(string);%解码weights=2.(0:51);vector=repmat(uint8(0),1,info,length);vectorindex=1;codeindex=1;code=0;for index=1:len,code=bitset(code,codeindex,string(index);codeindex=codeindex+1;byte=decode(bitset(code,codeindex),info);
11、if byte0,%vector(vectorindex)=byte-1;codeindex=1;code=0;vectorindex=vectorindex+1;endendfunction byte=decode(code,info)byte=info.huffcodes(code);function f=frequency(vector)%FREQUENCY 计算元素出现概率ifisa(vector,uint8),error(input argument must be a uint8 vector)endf=repmat(0,1,256);%扫描向量len=length(vector);for index=0:256,%f(index+1)=sum(vector=uint8(index);end%归一化f=f./len;