Cepstral Analysis of Optical Flow

Visual flow analysis from image sequences can be viewed as detection and retrieval of echoes or repeated patterns in two dimensional signals. In this paper we introduce a new methodology for optical flow analysis based on the cepstral filtering method. Cepstral filtering is a non-linear adaptive correlation technique used extensively in phoneme chunking and echo removal in speech understanding and signal processing. Different cepstral methodologies, in particular power cepstrum, are reviewed and more efficient variations for real image analysis are discussed.

Power cepstrum is extended to multiframe analysis. A correlative cepstral technique, cepsCorr, is developed; cepsCorr significantly increases the signal to noise ratio, virtually eliminates errors, and provides a predictive or multi-evidence approach to visual motion analysis.