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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    Ray tracing
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    Cite this

    @article{d2c8721dc01246ce8629181eaf2d77ea,
    title = "Ray tracing objects defined by sweeping a sphere",
    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.",
    author = "{Wijk, van}, J.J.",
    year = "1985",
    doi = "10.1016/0097-8493(85)90055-X",
    language = "English",
    volume = "9",
    pages = "283--290",
    journal = "Computers and Graphics",
    issn = "0097-8493",
    publisher = "Elsevier",
    number = "3",

    }

    Ray tracing objects defined by sweeping a sphere. / Wijk, van, J.J.

    In: Computers and Graphics, Vol. 9, No. 3, 1985, p. 283-290.

    Research output: Contribution to journalArticleAcademicpeer-review

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    N2 - 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.

    AB - 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.

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