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Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
By
International Association of Computer Science and Information Technology (IACSIT)
International Association of Computer Science and Information Technology (IACSIT)
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ISBN:
9780791859544
No. of Pages:
590
Publisher:
ASME Press
Publication date:
2010
eBook Chapter
58 Free-Form Surface Generation with Fourth Order Partial Differential Equations
By
Nizam Ishak Shahrul
,
Nizam Ishak Shahrul
School of Mathematical Sciences
11800
, USM
PenangMalaysia
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Md. Ali Jamaludin
,
Md. Ali Jamaludin
School of Mathematical Sciences
11800
, USM
PenangMalaysia
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Abdul Majid Ahmad
Abdul Majid Ahmad
School of Mathematical Sciences
11800
, USM
PenangMalaysia
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Page Count:
7
-
Published:2010
Citation
Shahrul, NI, Jamaludin, MA, & Ahmad, AM. "Free-Form Surface Generation with Fourth Order Partial Differential Equations." Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010). Ed. International Association of Computer Science and Information Technology (IACSIT). ASME Press, 2010.
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In this study we investigate how to generate free-form surface design using partial differential equations (PDE). The extension of Bloor and Wilson PDE based approach is considered. The method views surface generation as a boundary value problem and produces free-form surfaces as the solution to elliptic PDE. Intrinsic parameter controls the geometry of the surface through the boundary conditions on the solution of the PDE. Thus, we show the representation using illustrative examples.
Topics:
Partial differential equations
Abstract
Key Words
1 Introduction
2. The Partial Differential Equations
3 The Use of PDE Method for Designing Free-Form Surface
4. Conclusion
Acknowledgements
References
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