“Variational surface modeling” by Welch and Witkin

No abstract available.

1. I. Babuska and W. C. Rheinboldt. Error estimates for adaptive finite element computations. SlAM J. Numer. Anal., 15(4), 1978.
2. Richard H. Bartels and John C. Beatty. A technique for the direct manipulation of spline curves. In Proceedings, Graphics Interface, 1989.
3. Richard. H. Barrels and Gene Golub. The simplex method of linear programming using lu decomposition. CACM, 12(5), May 1969.
4. ~ ke Bjtirck. A general updating algorithm for constrained linear least squares problems. SlAM J. Sci. and Stat. Comp., 5(2), 1984.
5. George Celniker and Dave Gossard. Deformable curve and surface finite-elements for free-form shape design. Computer Graphics, 25(4), July 1991. Proceedings SIGGRAPH ’91.
6. George Celniker and William Welch. Linear constraints for nonuniform b-spline surfaces. In Proceedings, Symposium on Interactive 3D Graphics, 1992.
7. J. E De. S. R. Gago, D. W. Kelly, and O. C. Zienkiewicz. A posteriori error analysis and adaptive processes in the finite element method: Part ii – adaptive mesh refinement. Int. J. Numet. Methods Eng., 19:1621-1656, 1983.
8. Gerald Farin. Curves and Surfaces for Computer Aided Geometric Design. Academic Press, Inc., 1990.
9. Philip Fong and Hans-Peter Seidel. Control points for multivariate b-spline surfaces over arbitrary triangulations. Computer Graphics Forum, 10:309-3 17, 1991.
10. D.R. Forsey and R.H. Barrels. Hierarchical b-spline refinement. Computer Graphics, 22(4), August 1988. Proceedings SIGGRAPH ’88.
11. Barry Fowler. Geometric manipulation of tensorproduct surfaces. In Proceedings, Symposium on Interactive 3D Graphics, 1992. (to appear).
12. Barry Fowler and Richard Bartels. Constraint-based curve manipulation. In ACM Siggraph Course Notes, Topics in the Construction, Manipulation, and Assessment of Spline Surfaces, 1991.
13. Gene Golub and Charles Van Loan. Matrix Computations. Johns Hopkins University Press, 1989.
14. W.E.L. Grimson. An implementation of a computational theory of surface orientation. Computer Vision, Graphics, and Image Processing, 22( I ):39-69, 1983.
15. B.K.P. Horn and M.J. Brooks. The variational approach to shape from shading. Computer Vision, Graphics, and Image Processing, 33:174-208, 1986.
16. D. W. Kelly. The self-equilibration of residuals and upper bound eror estimates in the finite element method. In I. Babuska, editor, Accuracy Estimates and Adaptive Refinements in Finite Element Computations, pages 129-146. Wiley, 1986.
17. D. W. Kelly, J. P. De. S. R. Gago, and O. C. Zienkiewicz. A posteriori error analysis and adaptive processes in the finite element method: Part i – error analysis, lnt.J. Numer. Methods Eng., 19:1593- 1619, 1983.
18. N.J. Lott and D. I. Pullin, Method for fairing b-spline surfaces. Computer-Aided Design, 20(10), 1988.
19. Henry Moreton and Carlo S6quin. Functional minimization for fair surface design, in these proceedings.
20. Francis J. M. Schrnitt, Brian A. Barsky, and Wen-Hui Du. An adaptive subdivision method for surfacefitting from sampled data. Computer Graphics, 20(4), 1986. Proceedings SIGGRAPH ’86.
21. D.G. Schweikert. An interpolation curve using a spline in tension. Journal ofMath andPhys., 45:312- 317, 1966.
22. Gilbert Strang. Introduction to Applied Mathematics. Wellesley-Cambridge Press, 1986.
23. Demetri Terzopoulis, John Platt, Alan Barr, and Kurt Fleischer. Elastically deformable models. Computer Graphics, 21(4), July 1987. Proceedings of SIG- GRAPH ’87.
24. D. Terzopoulos. Multi-level reconstruction of visual surfaces. MIT Artificial Intelligence Memo Number 671, April 1981.
25. D. Terzopoulos. Regularization of inverse visual problems involving discontinuities. IEEE Trans. Pattern Analysis and Machine Intelligence, PAMI- 8:413-424, 1986.
26. Charles Van Loan. On the method of weighting for equality-constrained least-squares problems. SlAM J. Numer. Anal., 22(5), 1985.
27. O.C. Zienkiewicz and K. Morgan. Finite Elements and Approximation. John Wiley and Sons, 1983.