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Interactive design using higher order PDE's

Kubeisa, S.
; 
Ugail, Hassan
; 
Wilson, M.J.
Publication Date
2004
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Keywords
Interactive design, Higher order PDE's, PDE surfaces, Partial differential equations (PDEs)
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© 2004 Springer Berlin. Reproduced in accordance with the publisher's self-archiving policy.
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Yes
Open Access status
openAccess
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Engineering and Digital Technology Publications
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Abstract
This paper extends the PDE method of surface generation. The governing partial differential equation is generalised to sixth order to increase its flexibility. The PDE is solved analytically, even in the case of general boundary conditions, making the method fast. The boundary conditions, which control the surface shape, are specified interactively, allowing intuitive manipulation of generic shapes. A compact user interface is presented which makes use of direct manipulation and other techniques for 3D interaction.
URI
http://hdl.handle.net/10454/2659
Version
Accepted manuscript
Citation
Kubeis S, Ugail H and Wilson MJ (2004) Interactive design using higher order PDE's. The Visual Computer. 20(10): 682-693.
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Link to Version of Record
https://doi.org/10.1007/s00371-004-0261-3
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Article
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