Abstract
The previous chapter has described a number of surface representation schemes in surface modeling. These schemes, despite being popular in geometric modeling, do suffer from one important limitation: the control mesh must be structured to have a rectangular topology. This limitation has made it very awkward for many modeling tasks in computer animation, such as the modeling of branches and non-quadrilateral patches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Ball, A.A. and Storry J.T., Conditions for tangent plane continuity over recursively defined B-spline surfaces. ACM Transactions on Graphics, 7(2), 83–102, 1988.
Catmull, E. and Clark J., Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design, 6, 350–355, 1978
Choi, B., Surface modeling for CAD/CAM, Elsevier Science, 1991
DeRose, T., Kass, M. and Truong, T., Subdivision surfaces in character animation. Computer Graphics (SIGGRAPH′98), pp. 85–94, 1998
Doo, D. and Sabin, M., Behaviour of recursive division surfaces near extraordinary points. Computer-Aided Design, 6, 356–360, 1978
Farin, G., Curves and Surfaces for Computer Aided Geometric Design, 3rd edn, Academic Press, 1997
Halstead, M., Kass, M. and DeRose T., Efficient, fair interpolation using Catmull-Clark surfaces. Computer Graphics (SIGGRAPH′93), pp. 35–44, 1993
Joy, K., On-line Geometric Modeling Notes, Computer Science Department, University of California, Davis, 1999
Loop, C, Smooth spline surfaces over irregular meshes. Computer Graphics (SIGGRAPH′94), pp. 303–310, 1994
Nasri, A.H., Polyhedral subdivision methods for free-form surfaces. ACM Transactions on Graphics, 6(1), 29–73, 1987
Zhao, Y., Zhang, J.J. and Comninos, P., A deformable leg model for computer animation, The 5th World Conference on Integrated Design & Process Technology, Dallas, Texas, 2000
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag London
About this chapter
Cite this chapter
Zhang, J.J. (2003). Smooth Surface Representation over Irregular Meshes. In: Vince, J. (eds) Handbook of Computer Animation. Springer Professional Computing. Springer, London. https://doi.org/10.1007/978-1-4471-0091-1_6
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0091-1_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1106-1
Online ISBN: 978-1-4471-0091-1
eBook Packages: Springer Book Archive