Free Access
Volume 26, Number 1, 1992
Topics in computer aided geometric design
Page(s) 23 - 36
Published online 31 January 2017
  1. G. CHANG and P. DAVIS, The convexity of Bernstein polynomials over triangles, J. Approx. Theory 40, (1984), 11-28. [MR: 728296] [Zbl: 0528.41005]
  2. G. CHANG and Y. FENG, A new proof for the convexity of the Bernstein - Bézier surfaces over triangles, Chinese Ann. Math, Ser., B6 (2), (1985), 172-176. [MR: 841865] [Zbl: 0575.41010]
  3. G. CHANG and J. HOSCHEK, Convergence of Bézier triangular nets and a theorem by Pólya, J. Approx. Theory, Vol. 58, N°. 3, (1989), 247-258. [MR: 1012674] [Zbl: 0724.41005]
  4. W. BOEHM, G. FARIN and J. KAHMANN, A survey of curve and surface methods in CAGD, Comput. Aided Geom. Design 1, (1984), 1-60. [Zbl: 0604.65005]
  5. W. DAHMEN and C. A. MICCHELLI, Subdivision algoritmus for the génération of box simple surfaces, Compt. Aided Geom. Desing 1, (1984), 115-129. [MR: 1230249] [Zbl: 0581.65011]
  6. W. DAHMEN and C. A. MICCHELLI, Convexity of multivariate Bernstein polynomials and box spline surfaces, Studia Sci. Math. Hungar. 23, (1988), 265-287. [MR: 962457] [Zbl: 0689.41013]
  7. G. FARIN, Triangular Bernstein-Bézier patches, Comput. Aided Geom. Design, Vol. 3, Number 2, (1986), 83-127. [MR: 867116]
  8. T. N. T. GOODMAN, Convexity of Bézier nets on triangulations, to appear in Comput. Aided Geom. Design. [MR: 1107853] [Zbl: 0731.41009]
  9. T. A. GRANDINE, On convexity of piecewise polynomial functions on triangulations, Comput. Aided Geom. Design 6, (1989), 181-187. [MR: 1019422] [Zbl: 0675.41029]
  10. J. A. GREGORY and J. ZHOU, Convexity of Bézier nets on sub-triangles, Technical Report 04/90, Brunel University, Dept. of Math. and Statistics, March (1990). [MR: 1122914] [Zbl: 0756.41026]
  11. S. L. LEE and G. M. PHILLIPS, Convexity of Bernstein Polynomials on the standard triangle, preprint.
  12. C. A. MICCHELLI, H. PRAUTZSCH, Computing surfaces invariant under subdivision, Comput. Aided Geom. Design 4, (1987), 321-328. [MR: 937370] [Zbl: 0646.65013]
  13. H. PRAUTZSCH, Unterteilungsalgorithmen für multivariate Splines - Ein geometrischer Zugang, Diss., TU Braunschweig (1983/84). [Zbl: 0647.41015]

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