{"status":"public","_id":"40808","doi":"10.1109/ICIP.2012.6467404","date_created":"2023-01-30T11:51:55Z","user_id":"43497","author":[{"first_name":"S. C.","last_name":"Olhede","full_name":"Olhede, S. C."},{"first_name":"D.","last_name":"Ramírez","full_name":"Ramírez, D."},{"full_name":"Schreier, P. J.","last_name":"Schreier","first_name":"P. J."}],"year":"2012","citation":{"short":"S.C. Olhede, D. Ramírez, P.J. Schreier, in: Proc.\\ IEEE Int.\\ Conf.\\ Image Process., Orlando, Florida, USA, 2012.","ama":"Olhede SC, Ramírez D, Schreier PJ. The Random Monogenic Signal. In: <i>Proc.\\ IEEE Int.\\ Conf.\\ Image Process.</i> ; 2012. doi:<a href=\"https://doi.org/10.1109/ICIP.2012.6467404\">10.1109/ICIP.2012.6467404</a>","bibtex":"@inproceedings{Olhede_Ramírez_Schreier_2012, place={Orlando, Florida, USA}, title={The Random Monogenic Signal}, DOI={<a href=\"https://doi.org/10.1109/ICIP.2012.6467404\">10.1109/ICIP.2012.6467404</a>}, booktitle={Proc.\\ IEEE Int.\\ Conf.\\ Image Process.}, author={Olhede, S. C. and Ramírez, D. and Schreier, P. J.}, year={2012} }","ieee":"S. C. Olhede, D. Ramírez, and P. J. Schreier, “The Random Monogenic Signal,” 2012, doi: <a href=\"https://doi.org/10.1109/ICIP.2012.6467404\">10.1109/ICIP.2012.6467404</a>.","mla":"Olhede, S. C., et al. “The Random Monogenic Signal.” <i>Proc.\\ IEEE Int.\\ Conf.\\ Image Process.</i>, 2012, doi:<a href=\"https://doi.org/10.1109/ICIP.2012.6467404\">10.1109/ICIP.2012.6467404</a>.","chicago":"Olhede, S. C., D. Ramírez, and P. J. Schreier. “The Random Monogenic Signal.” In <i>Proc.\\ IEEE Int.\\ Conf.\\ Image Process.</i> Orlando, Florida, USA, 2012. <a href=\"https://doi.org/10.1109/ICIP.2012.6467404\">https://doi.org/10.1109/ICIP.2012.6467404</a>.","apa":"Olhede, S. C., Ramírez, D., &#38; Schreier, P. J. (2012). The Random Monogenic Signal. <i>Proc.\\ IEEE Int.\\ Conf.\\ Image Process.</i> <a href=\"https://doi.org/10.1109/ICIP.2012.6467404\">https://doi.org/10.1109/ICIP.2012.6467404</a>"},"type":"conference","department":[{"_id":"263"}],"place":"Orlando, Florida, USA","date_updated":"2023-01-30T11:58:33Z","title":"The Random Monogenic Signal","abstract":[{"text":"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.","lang":"eng"}],"publication":"Proc.\\ IEEE Int.\\ Conf.\\ Image Process."}