4D Clifford algebra based on fixed-size representation

    Risultato della ricerca: Articlepeer review

    Abstract

    Geometric algebra (also known as Clifford algebra) is a powerful mathematical tool that offers a natural and direct way to model geometric objects and their transformations. It is gaining growing attention in different research fields as physics, robotics, CAD/CAM and computer graphics. In particular, 4D geometric algebra implements homogeneous coordinates, which are used to model 3D scenery in most computer graphics applications. The research work on Clifford algebra is actually aimed at finding efficient implementations of the algebra. This paper wants to give a contribution to this research effort by proposing a direct hardware support for geometric algebra operators. The paper introduces a 4D Clifford algebra based on fixed-size elements and demonstrates that this choice leads to a simple and compact hardware implementation of geometric algebra operations.
    Lingua originaleEnglish
    pagine (da-a)249-273
    Numero di pagine25
    RivistaATTI DELLA ACCADEMIA DI SCIENZE, LETTERE E ARTI DI PALERMO, PARTE PRIMA: SCIENZE
    VolumeSerie V, Volume XXIV, Anni Accademici 2004-2008
    Stato di pubblicazionePublished - 2008

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