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Full quadrant approximations for the arctangent function

  • Dades identificatives

    Identificador: imarina:9285551
    Autors:
    Gironés XJulià CPuig D
    Resum:
    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.
  • Altres:

    Autor segons l'article: Gironés X; Julià C; Puig D
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: Julià Ferré, Maria Carmen / Puig Valls, Domènec Savi
    Paraules clau: Third order Signal processing Second orders Real-time application Keypoints Four quadrant Electrical engineering Arc tangent functions
    Resum: 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.
    Àrees temàtiques: 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
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: carme.julia@urv.cat domenec.puig@urv.cat
    Identificador de l'autor: 0000-0003-3440-6175 0000-0002-0562-4205
    Data d'alta del registre: 2024-07-27
    Versió de l'article dipositat: info:eu-repo/semantics/submittedVersion
    Enllaç font original: https://ieeexplore.ieee.org/document/6375931
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Ieee Signal Processing Magazine. 30 (1): 130-135
    Referència de l'ítem segons les normes 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
    DOI de l'article: 10.1109/MSP.2012.2219677
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2013
    Tipus de publicació: Journal Publications
  • Paraules clau:

    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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