Optical-flow estimation by means of local projection analysis with the Radon-Hermite transform

Boris Escalante-Ramirez; Jose Luis Silvan-Cardenas

doi:10.1117/12.351306

25 June 1999 Optical-flow estimation by means of local projection analysis with the Radon-Hermite transform

Boris Escalante-Ramirez, Jose Luis Silvan-Cardenas

Proceedings Volume 3816, Mathematical Modeling, Bayesian Estimation, and Inverse Problems; (1999) https://doi.org/10.1117/12.351306
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

In this paper we present a spatiotemporal energy-based method to estimate motion in image sequences. A directional energy is defined in terms of the 1D Hermite transform coefficients of Radon projections. Radon transform provides a suitable representation for image orientation analysis, while Hermite transform describes image features locally in terms of Gaussian derivatives. These operators have long ben use din computer vision for feature extraction and are relevant in visual system modeling. Here it is shown that the cascaded Radon-Hermite transformation is readily computed as a linear mapping of the 3D Hermite transform coefficients through some steering functions. A directional response defined from the directional energy is used to estimate local motion of 1D and 2D patterns as well as to compute an uncertainty matrix. This matrix provides a confidence measure for our estimate and it is used to propagate the velocity information toward directions with high uncertainty. Practical considerations and experimental results are also of concern.

Citation Download Citation

Boris Escalante-Ramirez and Jose Luis Silvan-Cardenas "Optical-flow estimation by means of local projection analysis with the Radon-Hermite transform", Proc. SPIE 3816, Mathematical Modeling, Bayesian Estimation, and Inverse Problems, (25 June 1999); https://doi.org/10.1117/12.351306

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