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    Method of boundary based smooth shape design

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    Publication date
    2005
    Author
    Ugail, Hassan
    Keyword
    Smooth shape design
    ; Boundary-value problems
    ; PDEs
    Rights
    © 2005 IASTED and ACTA Press. Reproduced in accordance with the publisher's self-archiving policy.
    Peer-Reviewed
    Yes
    
    Metadata
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    Abstract
    The discussion in this paper focuses on how boundary based smooth shape design can be carried out. For this we treat surface generation as a mathematical boundary-value problem. In particular, we utilize elliptic Partial Differential Equations (PDEs) of arbitrary order. Using the methodology outlined here a designer can therefore generate the geometry of shapes satisfying an arbitrary set of boundary conditions. The boundary conditions for the chosen PDE can be specified as curves in 3-space defining the profile geometry of the shape. We show how a compact analytic solution for the chosen arbitrary order PDE can be formulated enabling complex shapes to be designed and manipulated in real time. This solution scheme, although analytic, satisfies exactly, even in the case of general boundary conditions, where the resulting surface has a closed form representation allowing real time shape manipulation. In order to enable users to appreciate the powerful shape design and manipulation capability of the method, we present a set of practical examples
    URI
    http://hdl.handle.net/10454/2431
    Version
    Accepted Manuscript
    Citation
    Ugail, H. (2005). Method of Boundary Based Smooth Shape Design. In: Hamza, M .H. (ed.) Proceedings of the IASTED International Conference on Computer Graphics and Imaging (CGIM 2005) August 15-17, 2005, Honolulu, Hawaii. Calgary: ACTA Press: 54-59.
    Link to publisher’s version
    http://www.actapress.com/Content_of_Proceeding.aspx?proceedingid=313
    Type
    Conference paper
    Collections
    Engineering and Informatics Publications

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