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    • Issue 3
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    Fast Spheres

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    v12i3pp61-72.pdf (390.3Kb)
    Date
    1993
    Author
    Patterson, John W.
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    Abstract
    A new method for generating sphere-like images, using parabolic surfaces delimited by Bresenham s circle- generation algorithm, is presented. In many cases the resultant images are indistinguishable from spheres illuminated from a given single direction. The main form of the algorithm uses first and second integer differences to minimise computation and uses typically not more than one floating-point calculation per sphere. Two variants of the algorithm are given, one optimized for the special case of the light-source being behind the view-point, and one in which values are calculated for a z-buffer hidden-surface algorithm at the same time as the pixel values. The difference formulae can be exploited by differencing hardware or digital signal processors although very little arithmetic, typically five low-weight integer operations, including address calculation operations, is required per pixel on a conventional architecture.
    BibTeX
    @article {10.1111:1467-8659.1230061,
    journal = {Computer Graphics Forum},
    title = {{Fast Spheres}},
    author = {Patterson, John W.},
    year = {1993},
    publisher = {Blackwell Science Ltd and the Eurographics Association},
    ISSN = {1467-8659},
    DOI = {10.1111/1467-8659.1230061}
    }
    URI
    http://dx.doi.org/10.1111/1467-8659.1230061
    Collections
    • EG 1993 Conference Proceedings
    • Issue 3

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