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Copy pathDTWCompare.m
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DTWCompare.m
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function [DTW_result]=DTWCompare(signature_1,signature_2,DTW_argument)
MAX_DIS_STR=999999;
signature_1_length=length(signature_1);
signature_2_length=length(signature_2);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%computer DTW distance matrix
DTW_result.dis_matrix=zeros(signature_1_length,signature_2_length);
switch DTW_argument.dis_type
case 1
for i=1:length(DTW_argument.DTW_feature)
DTW_result.dis_matrix=DTW_result.dis_matrix+(repmat(signature_1(:,DTW_argument.DTW_feature(i)),1,signature_2_length)-...
repmat(signature_2(:,DTW_argument.DTW_feature(i))',signature_1_length,1)).^2;
end
DTW_result.dis_matrix=DTW_result.dis_matrix.^0.5;
case 2
for i=1:signature_1_length
temp_1=repmat(signature_1(i,DTW_argument.select_feature),signature_2_length,1)-signature_2(:,DTW_argument.select_feature);
DTW_result.dis_matrix(i,:)=(sum((temp_1*DTW_argument.mahalanobis_covariance_matrix_inv).*temp_1,2)').^0.5;
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%DTW_compare
qmax=DTW_argument.slope*signature_2_length/signature_1_length;
qmin=min(signature_2_length/(DTW_argument.slope*signature_1_length),1);
g=zeros(signature_1_length,signature_2_length);
g(:)=MAX_DIS_STR;
h=zeros(signature_1_length,signature_2_length);
g(1,1)=DTW_result.dis_matrix(1,1);
g(1,2)=DTW_result.dis_matrix(1,2);
g(1,3)=DTW_result.dis_matrix(1,2)+DTW_result.dis_matrix(1,3);
g(1,4)=DTW_result.dis_matrix(1,3)+DTW_result.dis_matrix(1,4);
h(1,2:4)=1;
switch DTW_argument.dtw_type
case 1
for i=2:signature_1_length
minJ=floor(max((i-1)*qmin,signature_2_length-1+qmax*((i-1)-signature_1_length+1)))+1;
maxJ=floor(min((i-1)*qmax,signature_2_length-1+qmin*((i-1)-signature_1_length+1)))+1;
for j=minJ:maxJ
min_temp=MAX_DIS_STR;
minID=-1;
if j>=2 && j>minJ && min_temp>g(i,j-1)+DTW_argument.gamma
minID=1;
min_temp=g(i,j-1)+DTW_argument.gamma;
end
if j>=2 && min_temp> g(i-1,j-1)+DTW_result.dis_matrix(i,j)
minID=2;
min_temp=g(i-1,j-1)+DTW_result.dis_matrix(i,j);
end
if min_temp > g(i-1,j)+DTW_argument.gamma
minID=3;
min_temp=g(i-1,j)+DTW_argument.gamma;
end
g(i,j)=min_temp;
h(i,j)=minID;
end
end
case 2
for i=2:signature_1_length
minJ=floor(max((i-1)*qmin,signature_2_length-1+qmax*((i-1)-signature_1_length+1)))+1;
maxJ=floor(min((i-1)*qmax,signature_2_length-1+qmin*((i-1)-signature_1_length+1)))+1;
for j=minJ:maxJ
min_temp=MAX_DIS_STR;
minID=-1;
if j>=2 && j>minJ && min_temp>g(i,j-1)+DTW_result.dis_matrix(i,j)
minID=1;
min_temp=g(i,j-1)+DTW_result.dis_matrix(i,j);
end
if j>=2 && min_temp> g(i-1,j-1)+DTW_result.dis_matrix(i,j)
minID=2;
min_temp=g(i-1,j-1)+DTW_result.dis_matrix(i,j);
end
if min_temp > g(i-1,j)+DTW_result.dis_matrix(i,j)
minID=3;
min_temp=g(i-1,j)+DTW_result.dis_matrix(i,j);
end
g(i,j)=min_temp;
h(i,j)=minID;
end
end
case 3
weigthPath=cell2mat(DTW_argument.TrainSignatureWeigthPath_1(DTW_argument.trainSignature_index));
g(1,1)=weigthPath(1)*DTW_result.dis_matrix(1,1);
g(1,2)=weigthPath(2)*DTW_result.dis_matrix(1,2);
g(1,3)=weigthPath(2)*DTW_result.dis_matrix(1,2)+weigthPath(3)*DTW_result.dis_matrix(1,3);
g(1,4)=weigthPath(3)*DTW_result.dis_matrix(1,3)+weigthPath(4)*DTW_result.dis_matrix(1,4);
h(1,2:4)=1;
for i=2:signature_1_length
minJ=floor(max((i-1)*qmin,signature_2_length-1+qmax*((i-1)-signature_1_length+1)))+1;
maxJ=floor(min((i-1)*qmax,signature_2_length-1+qmin*((i-1)-signature_1_length+1)))+1;
for j=minJ:maxJ
min_temp=MAX_DIS_STR;
minID=-1;
if j>=2 && j>minJ && min_temp>g(i,j-1)+weigthPath(j)*DTW_result.dis_matrix(i,j)
minID=1;
min_temp=g(i,j-1)+weigthPath(j)*DTW_result.dis_matrix(i,j);
end
if j>=2 && min_temp> g(i-1,j-1)+weigthPath(j)*DTW_result.dis_matrix(i,j)
minID=2;
min_temp=g(i-1,j-1)+weigthPath(j)*DTW_result.dis_matrix(i,j);
end
if min_temp > g(i-1,j)+weigthPath(j)*DTW_result.dis_matrix(i,j)
minID=3;
min_temp=g(i-1,j)+weigthPath(j)*DTW_result.dis_matrix(i,j);
end
g(i,j)=min_temp;
h(i,j)=minID;
end
end
case 4
segmentVector=cell2mat(DTW_argument.allsegmentResult(DTW_argument.trainSignature_index));
phaseWeghit_=cell2mat(DTW_argument.TrainSignaturePhaseWeigth);
phaseWeghit=phaseWeghit_.phaseWeightNor;
% g(1,1)=phaseWeghit(1)*DTW_result.dis_matrix(1,1);
% g(1,2)=phaseWeghit(1)*DTW_result.dis_matrix(1,2);
% g(1,3)=phaseWeghit(1)*DTW_result.dis_matrix(1,2)+phaseWeghit(1)*DTW_result.dis_matrix(1,3);
% g(1,4)=phaseWeghit(1)*DTW_result.dis_matrix(1,3)+phaseWeghit(1)*DTW_result.dis_matrix(1,4);
for i=2:signature_1_length
minJ=floor(max((i-1)*qmin,signature_2_length-1+qmax*((i-1)-signature_1_length+1)))+1;
maxJ=floor(min((i-1)*qmax,signature_2_length-1+qmin*((i-1)-signature_1_length+1)))+1;
for j=minJ:maxJ
if j<=segmentVector(1)
weight=phaseWeghit(1);
else
for index_1=2:length(segmentVector)
if j<=segmentVector(index_1)&&j>segmentVector(index_1-1);
weight=phaseWeghit(index_1);
break;
end
end
end
min_temp=MAX_DIS_STR;
minID=-1;
if j>=2 && j>minJ && min_temp>g(i,j-1)+weight*DTW_result.dis_matrix(i,j)
minID=1;
min_temp=g(i,j-1)+weight*DTW_result.dis_matrix(i,j);
end
if j>=2 && min_temp> g(i-1,j-1)+weight*DTW_result.dis_matrix(i,j)
minID=2;
min_temp=g(i-1,j-1)+weight*DTW_result.dis_matrix(i,j);
end
if min_temp > g(i-1,j)+weight*DTW_result.dis_matrix(i,j)
minID=3;
min_temp=g(i-1,j)+weight*DTW_result.dis_matrix(i,j);
end
g(i,j)=min_temp;
h(i,j)=minID;
end
end
end
%compute the DTW length
DTW_result.len=1;
while i>1 || j>1
switch h(i,j)
case 1
j=j-1;
DTW_result.len=DTW_result.len+1;
case 2
j=j-1;
i=i-1;
DTW_result.len=DTW_result.len+1;
case 3
i=i-1;
DTW_result.len=DTW_result.len+1;
end
end
%generate the signature_1 and signature_2 DTW path
k=DTW_result.len;
DTW_result.path1=zeros(1,2*max(signature_1_length,signature_2_length));
DTW_result.path2=zeros(1,2*max(signature_1_length,signature_2_length));
i=signature_1_length;
j=signature_2_length;
while i>1 || j>1
DTW_result.path1(k)=i;
DTW_result.path2(k)=j;
k=k-1;
switch h(i,j)
case 1
j=j-1;
case 2
j=j-1;
i=i-1;
case 3
i=i-1;
end
end
DTW_result.path1(1)=1;
DTW_result.path2(1)=1;
DTW_result.g=g;
DTW_result.distance=g(end);
DTW_result.mean_distance_len=g(end)/DTW_result.len;
DTW_result.mean_distance_sum_len=g(end)/(signature_1_length+signature_2_length);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if DTW_argument.distance==2
DTW_result.optionfun=0;
DTW_result.sum_mah_dis=zeros(length(DTW_argument.select_feature));
for i=1:DTW_result.len
temp_vec=(signature_1(DTW_result.path1(i),DTW_argument.select_feature)-signature_2(DTW_result.path2(i),DTW_argument.select_feature));
DTW_result.optionfun=DTW_result.optionfun+temp_vec*DTW_argument.mahalanobis_covariance_matrix_inv*temp_vec';
DTW_result.sum_mah_dis=DTW_result.sum_mah_dis+temp_vec'*temp_vec;
end
end
end