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Boundary conditions for Young - van Vliet recursive filtering

Bill Triggs 1 Michaël Sdika 1
1 LEAR - Learning and recognition in vision
GRAVIR - IMAG - Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
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.
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Bill Triggs, Michaël Sdika. Boundary conditions for Young - van Vliet recursive filtering. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2006, 54 (6), pp.2365 - 2367. ⟨10.1109/TSP.2006.871980⟩. ⟨inria-00548616⟩

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