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Full quadrant approximations for the arctangent function

  • Identification data

    Identifier: imarina:9285551
    Handle: https://hdl.handle.net/20.500.11797/imarina9285551
    Authors:
    Gironés XJulià CPuig D
    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.

  • Others:

    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
    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
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2013
    Publication Type: Journal Publications

  • Keywords:

    Applied Mathematics,Electrical and Electronic Engineering,Engineering, Electrical & Electronic,Music,Signal Processing
    Third order
    Signal processing
    Second orders
    Real-time application
    Keypoints
    Four quadrant
    Electrical engineering
    Arc tangent functions
    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

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