Sains Malaysiana 38(6)(2009): 835–840

 

 

Gambaran Inovatif terhadap Permukaan Persamaan Pembezaan Separa

(Innovative Representation of Partial Differential Equations Surface)

 

Shahrul Nizam Ishak & Jamaludin Md Ali*

Pusat Pengajian Sains Matematik

Universiti Sains Malaysia, 11800 Penang,  Malaysia

 

Diserahkan: 18 November 2008 / Diterima: 4 Februari 2009

 

ABSTRAK

 

Makalah ini menunjukkan dua jenis peringkat Persamaan Pembezaan Separa(PPS) dalam versi teritlak daripada kaedahPPS Bloor-Wilson. Modifikasi terhadap parameter a(u, v) dalam persamaan tersebut diilustrasikan melalui beberapa contoh. Kelebihan dan kekurangan terhadap aplikasinya juga dibincangkan.

 

Kata kunci: Gambaran permukaan bentuk bebas; lengkung berkelopak bunga; tembikar; peringkatPPS

 

ABSTRACT

 

This paper presents two types of orders of Partial Differential Equations (PDE) in a generalized version from the Bloor-Wilson PDE method. The modification of the parameter a(u, v) in the equation is illustrated with some examples. The advantage and disadvantage on the application are also been discussed.

 

Keywords: Free-form surface representation; petaloid curve; earthenware jar; orders of PDE

 

 

RUJUKAN

 

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Ugail, H. & Kirmani, S. 2006. Techniques for interactive design using the PDE method. WSEAS Transactions on Computers 10(5): 2156-2161.

Ugail, H. & Sourin, A. 2008. Partial Differential Equations for Function based Geometry Modeling within Visual Cyberworlds. Cyberworlds 2008. IEEE Computer Society pp. 224-231.

You, L.H., Zhang, J.J. & Comninos, P. 2004. Blending surface generation using a fast and accurate analytical solution of a fourth-order PDE with three shape control parameters. The Visual Computer 20(2-3): 199-214.

Zhang, J.J. & You, L.H. 2001. Surface Representation using Second, Fourth and Mixed Order Partial Differential Equations. Proceeding of the International Conference on Shape Modeling and Applications. Genova: IEEE Computer Society. pp. 250-256.

 

*Pengarang untuk surat-menyurat; email: jamaluma@cs.usm.my

 

 

 

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