3D Kalman Filtering of Image Sequences
The authors are currently engaged in processing time-series of satellite imagery. Processing includes noise elimination and in this context, a 3D Kalman filtering has been developped and is presented here.
The first step is the definition of a class of two and three-parameter Markov discrete processes. The linear filtering of such stochastic processes reduces to a one-parameter vectorial Markov process recursive filtering, described by Kalman's equations. The 3D filter is then broken down into a two-dimensional spatial filter and a one-dimensional time filter. Some more stationnarity hypothesis allows a very simplified algorithm. The CPU time required is about 4 minutes on a middle range computer, for a 512 × 512 pixels picture.
The results are exposed on one-image sequence, which is assumed to verify the Markovian assumptions.
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