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

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Entry Number: 004

Title:

    Superformula solutions for 3D Graphic Arts and CAD/CAM

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Abstract:


    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.

References:


    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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