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On Poisson solvers and semi-direct methods for computing area based optical flow

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2 Author(s)
Chhabra, A.K. ; Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA ; Grogan, T.A.

Simchony, Chellappa, and Shao (1990) proposed a semi-direct method for computing area based optical flow. Their method is based on the iterative application of a direct Poisson solver. This method is restricted to Dirichlet boundary conditions, i.e., it is applicable only when velocity vectors at the boundary of the domain are known a priori. The authors show, both experimentally and through analysis, that the semi-direct method converges only for very large smoothness. At such levels of smoothness, the solution is obtained merely by filling in the known boundary values; the data from the image is almost totally ignored. Next, the authors consider the Concus and Golub method (1973), another semi-direct method, for computing optical flow. This method always converges, but the convergence is too slow to be of any practical value. The authors conclude that semi-direct methods are not suited for the computation of area based optical flow

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:16 ,  Issue: 11 )