{"date_updated":"2023-01-30T12:00:35Z","title":"Detecting Directionality in Random Fields Using the Monogenic Signal","user_id":"43497","type":"journal_article","page":"6491–6510","intvolume":"        60","status":"public","author":[{"first_name":"S. C.","last_name":"Olhede","full_name":"Olhede, S. C."},{"full_name":"Ramírez, D.","first_name":"D.","last_name":"Ramírez"},{"full_name":"Schreier, P. J.","first_name":"P. J.","last_name":"Schreier"}],"date_created":"2023-01-30T11:51:48Z","publication":"IEEE Trans.\\ Inform.\\ Theory","_id":"40762","year":"2014","citation":{"bibtex":"@article{Olhede_Ramírez_Schreier_2014, title={Detecting Directionality in Random Fields Using the Monogenic Signal}, volume={60}, DOI={<a href=\"https://doi.org/10.1109/TIT.2014.2342734\">10.1109/TIT.2014.2342734</a>}, number={10}, journal={IEEE Trans.\\ Inform.\\ Theory}, author={Olhede, S. C. and Ramírez, D. and Schreier, P. J.}, year={2014}, pages={6491–6510} }","ama":"Olhede SC, Ramírez D, Schreier PJ. Detecting Directionality in Random Fields Using the Monogenic Signal. <i>IEEE Trans\\ Inform\\ Theory</i>. 2014;60(10):6491–6510. doi:<a href=\"https://doi.org/10.1109/TIT.2014.2342734\">10.1109/TIT.2014.2342734</a>","apa":"Olhede, S. C., Ramírez, D., &#38; Schreier, P. J. (2014). Detecting Directionality in Random Fields Using the Monogenic Signal. <i>IEEE Trans.\\ Inform.\\ Theory</i>, <i>60</i>(10), 6491–6510. <a href=\"https://doi.org/10.1109/TIT.2014.2342734\">https://doi.org/10.1109/TIT.2014.2342734</a>","mla":"Olhede, S. C., et al. “Detecting Directionality in Random Fields Using the Monogenic Signal.” <i>IEEE Trans.\\ Inform.\\ Theory</i>, vol. 60, no. 10, 2014, pp. 6491–6510, doi:<a href=\"https://doi.org/10.1109/TIT.2014.2342734\">10.1109/TIT.2014.2342734</a>.","chicago":"Olhede, S. C., D. Ramírez, and P. J. Schreier. “Detecting Directionality in Random Fields Using the Monogenic Signal.” <i>IEEE Trans.\\ Inform.\\ Theory</i> 60, no. 10 (2014): 6491–6510. <a href=\"https://doi.org/10.1109/TIT.2014.2342734\">https://doi.org/10.1109/TIT.2014.2342734</a>.","ieee":"S. C. Olhede, D. Ramírez, and P. J. Schreier, “Detecting Directionality in Random Fields Using the Monogenic Signal,” <i>IEEE Trans.\\ Inform.\\ Theory</i>, vol. 60, no. 10, pp. 6491–6510, 2014, doi: <a href=\"https://doi.org/10.1109/TIT.2014.2342734\">10.1109/TIT.2014.2342734</a>.","short":"S.C. Olhede, D. Ramírez, P.J. Schreier, IEEE Trans.\\ Inform.\\ Theory 60 (2014) 6491–6510."},"abstract":[{"text":"Detecting and analyzing directional structures in images is important in many applications since one-dimensional patterns often correspond to important features such as object contours or trajectories. Classifying a structure as directional or non-directional requires a measure to quantify the degree of directionality and a threshold, which needs to be chosen based on the statistics of the image. In order to do this, we model the image as a random field. So far, little research has been performed on analyzing directionality in random fields. In this paper, we propose a measure to quantify the degree of directionality based on the random monogenic signal, which enables a unique decomposition of a 2D signal into local amplitude, local orientation, and local phase. We investigate the second-order statistical properties of the monogenic signal for isotropic, anisotropic, and unidirectional random fields. We analyze our measure of directionality for finite-size sample images, and determine a threshold to distinguish between unidirectional and non-unidirectional random fields, which allows the automatic classification of images.","lang":"eng"}],"doi":"10.1109/TIT.2014.2342734","department":[{"_id":"263"}],"issue":"10","volume":60}