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Issue No.05 - September/October (1993 vol.13)
pp: 43-49
ABSTRACT
<p>Alternative techniques for control-vertex manipulation of parametric curves are described. Their generality and flexibility make possible a wide range of curve-editing interfaces based on direct manipulation. A method for applying systems of constraints at one or more arbitrary points on a single or composite curve and an efficient technique for the interactive application of these systems are outlined. Analytic solutions and examples for useful systems of constraints are presented.</p>
CITATION
Barry Fowler, Richard Bartels, "Constraint-Based Curve Manipulation", IEEE Computer Graphics and Applications, vol.13, no. 5, pp. 43-49, September/October 1993, doi:10.1109/38.232098
REFERENCES
1. R.H. Bartels, J.C. Beatty, and B.A. Barsky,An Introduction to Splines for Use in Computer Graphics and Geometric Modeling, Morgan Kaufmann Publishers, Los Altos, Calif., 1987.
2. G. Farin,Curves and Surfaces for Computer Aided Geometric Design, 3nd edition, Academic Press, San Diego, Calif., 1993.
3. L. Piegl, "On NURBS: A Survey,"IEEE CG&A, Vol. 11, No. 1, Jan. 1991, pp. 55-71.
4. B.A. Barsky,Beta-Splines, Springer-Verlag, New York, 1988.
5. L. Piegl, "Modifying the Shape of Rational B-Splines. Part 1: Curves,"Computer-Aided Design, Vol. 21, No. 8, Oct. 1989, pp. 509-518.
6. E.S. Cobb,Design of Sculptured Surfaces Using the B-Spline Representation, doctoral dissertation, Univ. of Utah, Salt Lake City, 1984.
7. S. Coquillart, "Extended Free-Form Deformation: A Sculpturing Tool for 3D Geometric Modeling,"Computer Graphics(Proc. Siggraph), Vol. 24, No. 4, Aug. 1990, pp. 187-196.
8. R.H. Bartels and J.C. Beatty, "A Technique for the Direct Manipulation of Spline Curves,"Graphics Interface 89, Morgan Kaufmann, Palo Alto, Calif., pp. 33-39.
9. B. Fowler, "Geometric Manipulation of Tensor Product Surfaces," Special Issue ofComputer Graphics(1992 Symp. Interactive 3D Graphics), 1992, pp. 101-108.
10. I.J. Schoenberg, "On Hermite-Birkhoff Interpolation,"J. Mathematical Analysis and Applications, Vol. 16, No. 3, Dec. 1966, pp. 538-543.
11. T.N.T. Goodman, "Hermite-Birkhoff Interpolation by Hermite-Birkhoff Splines,"Proc. Royal Soc. Edinburgh, Vol. 88(A), Parts 3/4, April 1981, pp. 195-201.
12. G. Strang,Linear Algebra and Its Applications, 3rd edition, Harcourt, Brace, Jovanovich, San Diego, Calif., 1988.
13. P. Ruest,An Evaluation of Tension Within an Extensible Spline Testing Facility, master's thesis, Univ. of Waterloo, Waterloo, Ontario, Canada, 1989.
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