Boundary conditions for Young-van Vliet recursive filtering

Authors:
B. Triggs;M. Sdika
Affiliations:
GRAVIR-CNRS-INRIA, Montbonnot, France;-
Venue:
IEEE Transactions on Signal Processing - Part I
Year:
2006

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Abstract

Young and van Vliet have designed computationally efficient methods for approximating Gaussian-based convolutions by running a recursive infinite-impulse-response (IIR) filter forward over the input signal, then running a second IIR filter backward over the first filter's output. To transition between the two filters, they use a suboptimal heuristic that produces significant amplitude and phase distortion for all points within about three standard deviations of the right-hand boundary. In this correspondence, a simple linear transition rule that eliminates this distortion is derived.