• DocumentCode
    949729
  • Title

    A Smooth Surface Based on Biquadratic Patches

  • Author

    Steinberg, Herbert A.

  • Author_Institution
    MAGI, Mathematical Applications Group, Inc.
  • Volume
    4
  • Issue
    9
  • fYear
    1984
  • Firstpage
    20
  • Lastpage
    23
  • Abstract
    A representation for arbitrary C1 surfaces, using biquadratic patches, is described. The key to this simplification is the introduction of extra knots into the system. Using this representation, the polynomial equation for ray tracing is at most eight degree, in contrast to bicubic, which leads to an eighteenth degree polynomial. The scheme was implemented in the SynthaVision system, where ray tracing is used to generate images.
  • Keywords
    computer graphics; polynomials; SynthaVision system; arbitrary C1 surfaces; biquadratic patches; image generation; knots; polynomial equation; ray tracing; smooth surface; Application software; Computer graphics; Equations; Polynomials; Ray tracing; Rendering (computer graphics);
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/MCG.1984.275992
  • Filename
    4055916
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=949729