Research Article

Trajectory Clustering in an Intersection by GDTW

Algorithm 1

(AGDTW_Search).
AGDTW_Search
Input: A, B: two series
   istep, jstep: n-step for series A and B, default 1
   oba, obb, oea, oeb: boundary-free switcher
Return: dtw: cumulative DTW value
   iend, jend: end index pair of matched scheme
   D, K: cumulative distance & traceback index matrix
(1) D, K = Init_cumulative_and_trace_mat (A, B, oba, obb)
(2) for i in 1 … A.length-1
(3)  for j in 1… B.length-1
(4)   imin, jmin = find min in D[i-istepi, j-jstepj]
(5)   D[i, j] = D[imin, jmin] + local_distance(A[i],B[j])
(6)   K[i, j] = (imin, jmin)
(7)iend, jend = A.length-1, B.length-1
(8) if oea
(9)   iend, jend = index of minimal in D’s last column
(10) if oeb
(11)   iend, jend = A.length-1, index of minimal in D’s last row
(12)dtw = D[iend, jend]
(13)return dtw, iend, jend, D, K