• DocumentCode
    2255370
  • Title

    Geometric computation based on an adaptive data length computation processor

  • Author

    Niizeki, Masatoshi ; Yoshida, Makoto ; Kitamura, Tohru ; Yamaguchi, Fujio

  • Author_Institution
    Fac. of Eng., Osaka Electro-Commun. Univ., Neyagawa, Japan
  • fYear
    1996
  • fDate
    24-28 Jun 1996
  • Firstpage
    122
  • Lastpage
    130
  • Abstract
    Introduces a model of a simple geometric processor on which geometric computation packages for solid modeling and computer graphics can be based. An exact integer representation and an adaptive determinant sign detection method are built into a geometric library to give a solution to the problem of accuracy and efficiency in 3D geometric programs. The computational core of this geometric library is designed so that it can be readily replaced with a simple hardware processor. The geometric computations are based on signed Plucker coordinates and the 4×4 determinant method. A method for classifying degenerate configurations of points using parallel sign detections of the Plucker coordinates of points, lines and planes using the processor is developed. A geometric computation library designed in this way has many advantages when compared to conventional geometric approaches
  • Keywords
    computational geometry; computer graphics; determinants; firmware; mathematics computing; microprocessor chips; software libraries; special purpose computers; 3D geometric programs; 4×4 determinant method; accuracy; adaptive data length computation processor; adaptive determinant sign detection method; computer graphics; degenerate point configuration classification method; determinant processor; efficiency; exact integer representation; geometric computation; geometric library; geometric processor; lines; parallel sign detections; planes; signed Plucker coordinates; solid modeling; Computational efficiency; Computer graphics; Finite wordlength effects; Hardware; Libraries; Packaging; Programming profession; Solid modeling; Stability; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Graphics International, 1996. Proceedings
  • Conference_Location
    Pohang
  • Print_ISBN
    0-8186-7518-7
  • Type

    conf

  • DOI
    10.1109/CGI.1996.511794
  • Filename
    511794