Transport equation and image interpolation with SBD velocity fields
نویسندگان
چکیده
In this paper, we consider an extended formulation of the transport equation that remains meaningful with discontinuous velocity fields b, assuming that (1, b) is a special function of bounded deformation (SBD). We study existence, uniqueness, and continuity/stability of the presented formulation. We then apply this study to the problem of fitting to available data a space-time image subject to the optical flow constraint. Moreover, in order to carry out these studies, we refine the SBD approximation theorem of Chambolle to show the convergence of traces. Mathematics subject classification: 49J20, 49Q20, 26B30, 74R10.
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تاریخ انتشار 2010