“Superformula solutions for 3D Graphic Arts and CAD/CAM” by Gielis and Beirinckx

  • ©Johan Gielis and Bert Beirinckx

  • ©Johan Gielis and Bert Beirinckx



Entry Number: 004


    Superformula solutions for 3D Graphic Arts and CAD/CAM



    Implicit functions based on one single equation can provide different solutions for problems in computer graphics and CAD. This particularly interesting and entirely unique equation called the Superformula, a generalization of superellipses and supercircles, with a stunning representation of natural geometries in plants and living things [1] and with potential for computer graphics [2] (see also www.genicap.com). Here we describe our current research, to show how the Superformula can be used advantageously for CAD. Description of a wide variety of shapes using a single formula allows for extremely compact file sizes. This will allow CAD applications and cooperative work on all platforms, including wireless application.


    1. Gielis J. (2003) American Journal of Botany 90(3) 333–338.]]
    2. Gielis, Bastiaens, Beirinckx (2003) Proc. of 8th ACM Solid Modeling and Applications 03, Seattle, June 16–20, 262–265.]]


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