The Random Monogenic Signal
S.C. Olhede, D. Ramírez, P.J. Schreier, in: Proc.\ IEEE Int.\ Conf.\ Image Process., Orlando, Florida, USA, 2012.
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Olhede, S. C.;
Ramírez, D.;
Schreier, P. J.
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Abstract
The monogenic signal allows us to decompose a two-dimensional real signal into a local amplitude, a local orientation, and a local phase. In this paper, we introduce the random monogenic signal and study its second-order statistical properties. The monogenic signal may be represented as a quaternion-valued signal. We show that for homogeneous random fields, we need exactly two quaternion-valued covariance functions for a complete second-order description. We also introduce a stochastic model for unidirectional signals and a measure of unidirectionality.
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Proc.\ IEEE Int.\ Conf.\ Image Process.
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Olhede SC, Ramírez D, Schreier PJ. The Random Monogenic Signal. In: Proc.\ IEEE Int.\ Conf.\ Image Process. ; 2012. doi:10.1109/ICIP.2012.6467404
Olhede, S. C., Ramírez, D., & Schreier, P. J. (2012). The Random Monogenic Signal. Proc.\ IEEE Int.\ Conf.\ Image Process. https://doi.org/10.1109/ICIP.2012.6467404
@inproceedings{Olhede_Ramírez_Schreier_2012, place={Orlando, Florida, USA}, title={The Random Monogenic Signal}, DOI={10.1109/ICIP.2012.6467404}, booktitle={Proc.\ IEEE Int.\ Conf.\ Image Process.}, author={Olhede, S. C. and Ramírez, D. and Schreier, P. J.}, year={2012} }
Olhede, S. C., D. Ramírez, and P. J. Schreier. “The Random Monogenic Signal.” In Proc.\ IEEE Int.\ Conf.\ Image Process. Orlando, Florida, USA, 2012. https://doi.org/10.1109/ICIP.2012.6467404.
S. C. Olhede, D. Ramírez, and P. J. Schreier, “The Random Monogenic Signal,” 2012, doi: 10.1109/ICIP.2012.6467404.
Olhede, S. C., et al. “The Random Monogenic Signal.” Proc.\ IEEE Int.\ Conf.\ Image Process., 2012, doi:10.1109/ICIP.2012.6467404.
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