Surface representation using second, fourth and mixed order partial differential equations

Proceedings - International Conference on Shape Modeling and Applications, SMI 2001

Volumn , Issue , 2001, Pages 250-256

  Zhang, Jian J ^a   You, Lihua ^a  

^a BOURNEMOUTH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM SOLUTIONS; FOURTH-ORDER PDES; FREE-FORM SURFACE; MIXED ORDER; PARTIAL DIFFERENTIAL EQUATIONS (PDES); REAL TIME PERFORMANCE; SURFACE GENERATIONS; SURFACE REPRESENTATION;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0038456174     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMA.2001.923396     Document Type: Conference Paper

References (14)

1. M.I.G. Bloor and M.J. Wilson, "Using partial differential equations to generate free-form surfaces", Computer-Aided Design, Vol. 22, No. 4, pp. 202-212, 1990. (Pubitemid 20708211)
2. M.I.G. Bloor and M.J. Wilson, "Local control of surfaces generated using partial differential equations", Computers & Graphics, Vol. 18, No. 2, pp. 161-169, 1994.
3. M.I.G. Bloor and M.J. Wilson, "Complex PDE surface generation for analysis and manufacture", Computing, Vol. 10, pp. 61-77, 1995.
4. M.I.G. Bloor and M.J. Wilson, "Spectral approximations to PDE surfaces", Computer-Aided Design, Vol. 28, No. 2, pp. 145-152, 1996. (Pubitemid 126403814)
5. J.M. Brown, M.I.G. Bloor, M.S. Bloor and M.J. Wilson, "Generation and modification of non-uniform B-spline surface approximations to PDE surfaces using the finite element method", Adv. Des. Automation, pp. 265-272, 1990. (Pubitemid 21689388)
6. C.Y. Cheng, M.I.G. Bloor, A. Saia and M.J. Wilson, "Blending between quadric surfaces using partial differential equations", in Ravani, B. (Ed.), Advances in Design Automation, Vol. 1, Computer and Computational Design, ASME, pp. 257-263, 1990. (Pubitemid 21689389)
7. Z.C. Li and C.-S. Chang, "Boundary penalty finite element methods for blending surfaces, III. Superconvergence and stability and examples", Journal of Computational and Applied Mathematics, Vol. 110, pp. 241-270, 1999. (Pubitemid 30501657)
8. T.W. Lowe, M.I.G. Bloor and M.J. Wilson, "Functionality in surface design", Adv. Des. Automation, pp. 43-50. 1990. (Pubitemid 21689414)
9. L.H. You, J.J. Zhang and P. Comninos, "Cloth deformation modelling using a plate bending model", The 7th International Conference in Central Europe on Computer Graphics, Visualisation and Interactive Digital Media, pp. 485-491, 1999.
10. L. You and J.J. Zhang, "Blending surface generation with a fourth order partial differential equation", The Sixth International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics'99), Shanghai, China, 1-5 December, 1999.
11. L.H. You and J.J. Zhang, "Free form surface generation using analytical solution to a fourth order partial differential equation", The Fifth World Conference on Integrated Design and Process Technology, Texas, USA, June, 2000.
12. L.H. You, J.J. Zhang and P. Comninos, "A volumetric deformable muscle model for computer animation using weighted residual method", Computer Methods in Applied Mechanics and Engineering, Vol. 190, No. 8-10, pp. 853-863, 2000. (Pubitemid 32029466)
13. J.J. Zhang, L.H. You and P. Comninos, "Computer simulation of flexible fabrics", EUROGRAPHICS, UK Chapter, pp. 27-35, 1999.
14. J.J. Zhang, and L.H. You, "Surface blending using a power series solution to fourth order partial differential equations", ACM Transactions on Graphics, under review, 2001.