References
- Cheng, F. (1992), Estimating subdivision depths for rational curves and surfaces, ACM Transaction on Graphics, 11(2), 140-151
- Cohen, E. and Schumaker, L.L. (1985), Rates of convergence of control polygons, Computer Aided Geometric Design, 2, 229-235
- Dai, J., Wang, H. and Qin, K. (2004), Parallelly generating NC tool paths for subdivision surfaces, International Journal of CAD/CAM, Vol. 4, No. 1
- Filip, D., Magedson, R. and Markot, R. (1986), Surface algorithms using bounds on derivatives, Computer Aided Geometric Design, 3(4), 295-311
- Halstead, M., Kass, M. and DeRose, T. (1993), Efficient, Fair Interpolation Using Catrnull-Clark Surfaces. Computer Graphics (Proceedings of SIGGRAPH '93), 27, 35-44
- Kobbelt, L., Daubert, K. and Seidel, H. (1998), Ray tracing of subdivision surfaces, Eurographics Rendering Workshop, Vienna, Austria, pp.69-80
- Loop, C.T. (1987), Smooth subdivision surfaces based on triangles, M.S. Thesis, Department of Mathematics, University of Utah
- Lutterkort, D. and Peters, J. (1998), The distance between a uniform B-spline and its control polygon, Technical Report TR-98-013, available from http://www.cise.ufl.edul research/tech-reports
- Nairn, D., Peters, J. and Lutterkort, D. (1999), Sharp, quantitative bounds on the distance between a polynomial piece and its Bezier control polygon, Computer Aided Geometric Design, 16, 613-631
- Prautzsch, H. and Kobbelt, L. (1994), Convergence of subdivision and degree elevation, Adv. Compo Math., 2, 143-154
- Reif, U. (2000), Best bounds on the approximation of polynomials and splines by their control structure, Computer Aided Geometric Design, 17,579-589
- Stam, J. (1998), Evaluation of Loop subdivision surfaces, Appearing as an appendix in the CD disc of SIGGRAPH'98
- Wang, G. (1984), The subdivision method for finding the intersection between two Bezier curves or surfaces, Zhejiang University J. Special Issue on Computational Geometry (in Chinese), 108-119
- Zorin, D. and Kristjansson, D. (2002), Evaluation of piecewise smooth subdivision surfaces, Visual Computer