Author, as appears in the article.: Gironés X; Julià C; Puig D
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Julià Ferré, Maria Carmen / Puig Valls, Domènec Savi
Keywords: Third order Signal processing Second orders Real-time application Keypoints Four quadrant Electrical engineering Arc tangent functions
Abstract: Two novel full quadrant approximations for the arctangent function that are specially suitable for real-time applications are studied. The key point of the proposed approximations is that they can be easily extended to two and four quadrants. Results show that the third-order proposed function outperforms the existing ones in terms of both precision and performance. Specifically, it is about 15% more accurate and about 1.5 times faster than the best existing one. On the other hand, the second-order proposed function is the most suitable for realtime applications: it is 2.6 and three times faster than the best existing one in the two- and four-quadrant approximations, respectively. Furthermore, it has a precision of about 0.18°, which is adequate for most applications in the computer vision field.
Thematic Areas: Signal processing Nutrição Musicology Music Matemática / probabilidade e estatística Interdisciplinar Engineering, electrical & electronic Engenharias iv Electrical and electronic engineering Ciencias humanas Ciência da computação Arts Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: carme.julia@urv.cat domenec.puig@urv.cat
Author identifier: 0000-0003-3440-6175 0000-0002-0562-4205
Record's date: 2024-07-27
Papper version: info:eu-repo/semantics/submittedVersion
Link to the original source: https://ieeexplore.ieee.org/document/6375931
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Ieee Signal Processing Magazine. 30 (1): 130-135
APA: Gironés X; Julià C; Puig D (2013). Full quadrant approximations for the arctangent function. Ieee Signal Processing Magazine, 30(1), 130-135. DOI: 10.1109/MSP.2012.2219677
Article's DOI: 10.1109/MSP.2012.2219677
Entity: Universitat Rovira i Virgili
Journal publication year: 2013
Publication Type: Journal Publications