IDEAS home Printed from https://ideas.repec.org/a/ids/ijpdev/v4y2007i3-4p207-224.html
   My bibliography  Save this article

Modelling of complex fractal objects for aesthetic product development

Author

Listed:
  • C.L. Li
  • Y.C. Yeung
  • W.K. Chiu
  • K.M. Yu

Abstract

Fractal geometry has been used for modelling natural objects that cannot be described by Euclidean geometry, and is also employed in aesthetic product design. However, the contemporary Computer-Aided Design (CAD) and Computer-Aided Manufacturing (CAM) systems are well developed only for semi-analytical and free-form objects, and they cannot deal with aesthetic appealing objects efficiently. As a result, new data structure or representation model has to be introduced in order to model and process the fractal geometry effectively in Euclidean-based CAD/CAM system. In this paper an algorithm is proposed for generating a 3D complex fractal from its mathematical models. To represent the 3D complex fractal object model in a CAD system, a voxel-based model is introduced. To fabricate a physical fractal object, Layered Manufacturing (LM) technology is employed. The geometrical information of the fractal object is extracted from its voxel-based model and the LM tool path can be generated accordingly. Applying the proposed algorithm, the fabrication of a fractal object can be realised.

Suggested Citation

  • C.L. Li & Y.C. Yeung & W.K. Chiu & K.M. Yu, 2007. "Modelling of complex fractal objects for aesthetic product development," International Journal of Product Development, Inderscience Enterprises Ltd, vol. 4(3/4), pages 207-224.
    • Handle: RePEc:ids:ijpdev:v:4:y:2007:i:3/4:p:207-224
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=12492
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ids:ijpdev:v:4:y:2007:i:3/4:p:207-224. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=36 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.