Ray tracing objects defined by sweeping a sphere

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    Abstract

    The basic calculation underlying ray tracing is that of the intersection of a line with the surfaces of an object. A method is presented here for performing this calculation for a new and powerful class of objects, those defined by sweeping a sphere of varying radius along a 3D trajectory. When polynomials are used for the parametrization of the centre and radius of the sphere, the intersection problem reduces to the location of the roots of a polynomial. An implementation is presented, together with sample applications.
    Original languageEnglish
    Pages (from-to)283-290
    Number of pages8
    JournalComputers and Graphics
    Volume9
    Issue number3
    DOIs
    Publication statusPublished - 1985

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