Abstract
This chapter presents an additional constraint equation—the periodic behavior of salt-water oscillation taken into account to determine its flow fields. The gradient-based method employing the basic constraint equation and the proposed one was applied to an artificially synthesized image sequence and to the real one representing salt-water oscillation. Through the analysis of two kinds of image sequences, the usefulness of the proposed additional constraint equation was confirmed. The proposed method focused on the analysis of salt-water oscillation. However, oscillatory flow in several situations is observed. The generalized gradient-based method has been proposed. The method introduces a generalized basic constraint equation representing the effect of non-uniform illumination. As the additional constraint equation proposed in this chapter can be applied to the generalized gradient-based method, frequently observed oscillatory velocity vector fields under non-uniform illumination can be determined by using this method.
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