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Basic research into the modeling and analysis of image sequence dynamics is presented. A distributed parameter system (DPS) framework and the concept of weak solutions are used to develop image motion estimation algorithms. These algorithms represent a region-oriented (as opposed to point-by-point) approach to image motion analysis which is theoretically justifiable, computationally advantageous, and leads to interesting extensions. Particularly noteworthy is the use of weak solution-based motion features to obtain static image structural information and multiple object motion estimates. Experimental results confirm the validity and accuracy of the approach. Future research topics are described.