A new method for multidimensional optimization and its application in image and video processing

摘要

We derive a new method for multidimensional dynamic programming using the inclusion-exclusion principle. We subsequently propose an extension of the Viterbi algorithm to semi-causal, multidimensional functions. This approach is based on extension of the 1-D trellis structure of the Viterbi algorithm to a tree structure in higher dimensions. We apply the dynamic tree programming algorithm to active surface extraction in video sequences. Simulation results show the efficiency and robustness of the proposed approach.