Abstract
Constrained optimization is used for interactive surface design in our new surface editor. It allows designers to modify B-spline surfaces to satisfy their design intents, expressed as geometric constraints. The restrictions on the set of constraints are few. In the special case of no constraints a surface can be faired to remove design flaws.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Celinker, G. and Gossard, D. (1991) Deformable curve and surface finite-elements for free-form shape design, ACM Computer Graphics, 25 pp. 157–266.
Farin, G, and Sapidis, N. (1989) Curvature and fairness of curves and surfaces, IEEE Computer Graphics and Applications 20 pp 52–57.
Faux, I.D., and Pratt, M.J. (1987) Computational Geometry for Design and manufacture, Ellis Horwood.
Ferguson, D. R. and Grandine, T. A. (1990) On the construction of surfaces interpolating curves: I. A method for handling nonconstant parameter curves, ACM Transactions on Graphics 9 pp 212–225.
Gill, P.E, Murray, W. and Wright, M.H (1981) Practical Optimization, Academic Press.
Hagen, H. and Schulze, G. (1987) Automatic smoothing with geometric surface patches, CAGD 4 231–236.
Kallay, M. and Ravani, B. (1990) Optimal twist vectors as a tool for interpolating a network of curves with a minimum energy surface, CAGD 7, pp 465–473.
Lott, N. J, and Pullin, D. I. (1988) Method for fairing B-spline surfaces, CAD 20 pp 597–604.
Welch, W., and Witkin, A. (1992) Variational surface design, SIGGRAPH, pp 157–166.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kallay, M. (1993). Constrained Optimization in Surface Design. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-78114-8_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-78116-2
Online ISBN: 978-3-642-78114-8
eBook Packages: Springer Book Archive