Artistic rendering of curves via lattice paths

Anton Bakker, T. Verhoeff

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    We present a general technique to transform arbitrary 3D curves into more artistic solid curves. The transformation first aligns the curve to the lattice; next, it transforms the curve into a lattice path with straight line segments; finally, it rounds this path into a smooth curve again. We also show an elegant way of thickening the curve. There are various parameters to play with, such as lattice alignment, the type of lattice, and cell size of the lattice. We implemented this technique in Rhinoceros with Grasshopper, and show some examples based on closed curves.
    Original languageEnglish
    Title of host publicationProceedings of Bridges 2017
    Subtitle of host publicationMathematics, Art, Music, Architecture, Education, Culture
    EditorsDavid Swart, Carlo H. Séquin, Kristóf Fenyvesi
    Place of PublicationPhoenix, Arizona, USA
    PublisherTessellations Publishing
    Number of pages4
    ISBN (Print)978-1-938664-22-9
    Publication statusPublished - Jul 2017
    EventBridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture - University of Waterloo, Waterloo, Canada
    Duration: 27 Jul 201731 Jul 2017
    Conference number: 20

    Publication series

    NameBridges Conference Proceedings
    PublisherTessellations Publishing
    ISSN (Print)1099-6702


    ConferenceBridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture
    Abbreviated titleBridges Waterloo 2017
    Internet address


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