Scattered data interpolation using data dependant optimization techniques

Graphical Models

Volumn 64, Issue 1, 2002, Pages 1-18

  Greiner, Günther ^a   Kolb, Andreas ^b   Riepl, Angela ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; FUNCTIONS; INTERPOLATION; REVERSE ENGINEERING; TENSORS; VECTORS;

SCATTERED DATA INTERPOLATION;

DATA REDUCTION;

GRAPHICAL METHOD;

EID: 0036460788     PISSN: 15240703     EISSN: None     Source Type: Journal    
DOI: 10.1006/gmod.2001.0542     Document Type: Article

References (19)

1. E. Arge, M. Dehlen, and A. Tveito, Approximation of Scattered Data Using Smooth Grid Functions, Technical Report SINTEF-SI, Oslo, 1994.
2. G. Brunnett, H. Hagen, and P. Santarelli, Variational design of curves and surfaces. Surve. Math. Industry 3, 1993, 1-27.
3. G. Celniker and D. Gossard, Deformable curve and surface finite-elements for free-form shape design, in Proc. SIGGRAPH, Vol. 25, number 4, pp. 257-266, Assoc. Comput. Mach., New York, 1991.
4. C. de Boor, A Practical Guide to Splines. Springer-Verlag, New York, 1978.
5. J. Duchon, Splines minimizing rotation-invariant seminorms in Sobolev spaces, in Constructive Theory of Functions of Several Variables (W. Schempp and K. Zeller, Eds.), Lecture Notes in Mathematics, Vol. 571, pp. 85-100, Springer-Verlag, Berlin, 1977.
6. D.R. Forsey and R.H. Bartels, Hierarchical B-spline refinement, in Computer Graphics (SIGGRAPH '88 Proceedings), pp. 205-212, 1988.
7. R. Franke, Scattered data interpolation: Test of some methods. Math. Comput. 38 (1982), 181-200.
8. G. Greiner, Surface construction based upon variational principles, in Curves and Surfaces II, Boston, 1994 (A.L.P.J. Laurent and L. Schumaker, Eds.), AK Peters, New York.
9. G. Greiner, Variational design and fairing, in Proc. EUROGRAPHICS '94, Vol. 13, Eurographics, Blackwell, London, 1994.
10. J. Hoschek and D. Lasser, Fundamentals of Computer Aided Geometric Design. AK Peters, Wellesley, MA, 1993.
11. M. Kallay, Constrained optimization in surface design, in Modeling in Computer Graphics, Berlin, 1993 (B. Falcidieno and T.L. Kunii, Eds.), Springer-Verlag, Berlin/New York.
12. W. Klingenberg, A course in Differential Geometry, Springer-Verlag, Berlin/Heidelberg, 1978.
13. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. 1, Interscience, New York, 1969.
14. H. Moreton and C. Séquin, Functional optimization for fair surface design, in Proc. SIGGRAPH (1992), Vol. 26, pp. 167-176.
15. G. Nielson, A method for interpolating scattered data based upon a minimum norm network. Math. Comput. 40 (1983), 253-271.
16. S. Ritchie, Surface Representation by Finite Elements, Master's thesis, University of Calgary, 1978.
17. L.L. Schumaker and G.E. Fasshauer, Minimal energy surfaces using parametric splines. Comput. Aided Geom. Design 13 (1996), 45-79.
18. J. Stoer and R. Burlisch, Introduction to Numerical Analysis, Springer-Verlag, Heidelberg, 1980.
19. W. Welch and A. Witkin, Variational surface modeling, ACM Comput. Graph. 26 (1992), 157-166.