On Poisson solvers and semi-direct methods for computing area basedoptical flow
Chhabra, A.K.
Grogan, T.A.
Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Nov 1994
Volume: 16,
Issue: 11
On page(s): 1133-1138
ISSN: 0162-8828
References Cited: 19
CODEN: ITPIDJ
INSPEC Accession Number: 4842850
Digital Object Identifier: 10.1109/34.334395
Current Version Published: 2002-08-06
Abstract
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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