Efficient Dynamic Alignment of Motions

We consider the computation of optimal alignments between sub-sequences of given motion clips based on dynamic programming. To avoid redundant computations in multiple alignment queries, we introduced the concept of a guideboard matrix. Using this data structure, the existence inquiry for an alignment is answered in O(1) time and the extraction of the alignment is done in O(n+m) time where n and m denote the numbers of frames in the considered motions