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Changing Variables
May-June 2012 (vol. 32 no. 3)
pp. 88-93
Jörg Peters, University of Florida
Changing the variables leaves geometric shapes untouched, but it alters the way we associate parameters to curves or surfaces. This change can be used to improve how we texture surfaces or how we combine curved surface pieces into a smooth ensemble.

1. R. Farouki, Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable, Springer, 2008.
2. K. Karčiauskas and J. Peters, “Modeling with Rational Biquadratic Splines,” Computer-Aided Design, vol. 43, no. 11, 2011, pp. 1350–1359.
3. J. Peters, “Geometric Continuity,” Handbook of Computer Aided Geometric Design, Elsevier, 2002, pp. 193–229.
4. T. DeRose,M. Kass, and T. Truong, “Subdivision Surfaces in Character Animation,” Proc. Siggraph, ACM, 1998, pp. 85–94.
5. J. Peters and U. Reif, Subdivision Surfaces, Springer, 2008.
6. J. Peters, “C1-Surface Splines,” SIAM J. Numerical Analysis, vol. 32, no. 2, 1995, pp. 645–666.

Index Terms:
reparameterization, geometric continuity, texture mapping
Jörg Peters, "Changing Variables," IEEE Computer Graphics and Applications, vol. 32, no. 3, pp. 88-93, May-June 2012, doi:10.1109/MCG.2012.51
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