REFEREED PUBLICATIONS

ACM SIGGRAPH Computer Graphics Annual Conference Series:

  1. T. W. Sederberg, J. Zheng, D. Sewell and M. Sabin,"Non-uniform Subdivision Surfaces," Computer Graphics Annual Conference Series, 1998, 387-394.
  2. T. W. Sederberg and F. Chen, ``Implicitization using moving curves and surfaces,'' Computer Graphics Annual Conference Series, 1995, 301--308.
  3. T. W. Sederberg, P. Gao, G. Wang, and H. Mu, ``Shape blending: An intrinsic approach to the vertex path problem,'' Computer Graphics Conference Series, 1993, 15--18.
  4. T. W. Sederberg and E. Greenwood, ``A physically based approach to 2--D shape blending," Computer Graphics, 26, 2, 1992, 25--34.
  5. T. Nishita, T.W. Sederberg and M. Kakimoto, ``Ray tracing trimmed rational surface patches,'' Computer Graphics, 24, 4, 1990, 337--345.
  6. T.W. Sederberg and A.K. Zundel, ``Scan line display of algebraic surfaces,'' Computer Graphics, 23, 3, 1989, 147--156.
  7. T. W. Sederberg and S. R. Parry, ``Free-Form Deformation of Solid Primitives,'' Computer Graphics, August, 1986, 151--160.
  8. T. W. Sederberg and D. C. Anderson, ``Ray Tracing of Steiner Patches,'' Computer Graphics, 18, (3),159--164, 1984.
  9. H. N. Christiansen and T. W. Sederberg, ``Conversion of Complex Contour Line Definitions into Polygonal Element Mosaics,'' Computer Graphics, 13,(2), 187--192, 1978.


    10. Computer-Aided Design Journal:

  10. T. W. Sederberg and G. Chang, ``Best linear common divisors for approximate degree reduction," Computer-Aided Design, 25, 3, 163--168, 1993.
  11. T. W. Sederberg and T. Nishita, ``Curve intersection using Bézier clipping,'' Computer-Aided Design, 22, 9, 538--549, 1990.
  12. T. W. Sederberg, H. N. Christiansen, S. Katz, ``An Improved Test for Closed Loops in Surface Intersections,'' Computer Aided Design, 21, 505--508, 1989.
  13. T. W. Sederberg, ``Algorithm for Algebraic Curve Intersection'', Computer-Aided Design, 21, 547--554, 1989.
  14. R. N. Goldman and T. W. Sederberg, ``An Analytic Algorithm for the Intersection of All Piecewise Rational Cubic Curves,'' Computer-Aided Design, 19,6,1987,282--292.
  15. T. W. Sederberg and S. Parry, ``A Comparison of Curve-Curve Intersection Algorithms,'' Computer-Aided Design, 18,1,58--63,1986.


    16. Computer Aided Geometric Design Journal:

  16. D. A. Cox, T. W. Sederberg, and F. Chen, "The moving line ideal basis of planar rational curves," Computer Aided Geometric Design, 15, 803-827, 1998.
  17. G.-J. Wang, T. W. Sederberg, and T. Saito, ``Partial derivatives of rational Bezier surfaces", Computer Aided Geometric Design, 14, 377--381, 1997.
  18. R. Farouki and T. W. Sederberg,``Analysis of the Offset to a Parabola'', Computer Aided Geometric Design, 12, 639--645, 1995.
  19. T. Saito, G. Wang, and T. W. Sederberg,``Hodographs and normals of rational curves and surfaces'', Computer Aided Geometric Design, 12, 417--430, 1995.
  20. T. W. Sederberg,``Point and tangent computation of tensor product rational Bézier surfaces'', Computer Aided Geometric Design, 12, 103--106, 1995.
  21. T. W. Sederberg, T. Saito, D. Qi, and K. Klimaszewski, ``Curve implicitization using moving lines," Computer Aided Geometric Design, 11, 687--706, 1994.
  22. T. W. Sederberg and G. Wang, ``A simple verification of the implicitization formulae for rational Bezier curves," Computer Aided Geometric Design, 11, 225--228, 1994.
  23. G. Chang and T. W. Sederberg, ``Nonnegative quadratic Bezier triangular patches," Computer Aided Geometric Design, 11, 1, 225--228, 1994.
  24. T. W. Sederberg and T. Nishita, ``Geometric Hermite Approximation of Surface Intersections,'' Computer Aided Geometric Design, 8, 97--114, 1991.
  25. T. W. Sederberg, S. R. White, A. K. Zundel, ``Fat Arcs: A Bounding Region with Cubic Convergence,'' Computer Aided Geometric Design, 6, 205--218, 1989.
  26. S. Katz and T. W. Sederberg,``Genus of the Intersection Curve of Two Parametric Surface Patches,'' Computer Aided Geometric Design, 5, 253--258, 1988.
  27. T. W. Sederberg and R. J. Meyers,``Loop Detection in Surface Patch Intersections,'' Computer Aided Geometric Design, 5, 2, July 1988, 161--172.
  28. T. W. Sederberg and X. Wang,``Rational Hodographs,'' Computer Aided Geometric Design, 4 (1987) 333--335.
  29. T. W. Sederberg,``Improperly Parameterized Rational Curves,'' Computer Aided Geometric Design, 3, 1986, 67--75.
  30. T. W. Sederberg, ``Piecewise Algebraic Surface Patches,'' Computer Aided Geometric Design, 2,53--59,1985.
  31. T. W. Sederberg, ``Piecewise Algebraic Curves,'' Computer Aided Geometric Design, 1(3),241--255,1984.
  32. T. W. Sederberg, ``Degenerate Parametric Curves,'' Computer Aided Geometric Design, 1,301--307, 1984.
  33. R. N. Goldman, T. W. Sederberg and D. C. Anderson, ``Vector Elimination,'' Computer Aided Geometric Design, 1,327--356,1984.


    34. Computer Vision, Graphics and Image Processing:

  34. T. W. Sederberg and A. K. Zundel, ``Pyramids that bound surface patches." Graphical Models and Image Processing, 58, 1, 75--81, January, 1996.
  35. T. W. Sederberg and T. Saito, ``Rational ruled surfaces: Implicitization and section curves." Graphical Models and Image Processing, 57, 4, 334--342, July, 1995.
  36. T. W. Sederberg, R. N. Goldman and D. C. Anderson, ``Implicitization, Inversion and Intersection of Rational Cubic Curves,'' Computer Vision, Graphics and Image Processing, 31, 89--102, July, 1985.
  37. T. W. Sederberg, D. C. Anderson, and R. N. Goldman, ``Implicit Representation of Parametric Curves and Surfaces,'' Computer Vision, Graphics and Image Processing, 28,72--84, November, 1984.


    38. IEEE Computer Graphics and Applications:

  38. K. S. Klimaszewski and T. W. Sederberg, ``Faster ray tracing using adaptive grids", IEEE Computer Graphics and Applications, 17, 1, 42--51, January 1997.
  39. T. W. Sederberg and R. Farouki, ``Approximation by interval Bézier curves,'' IEEE Computer Graphics and Applications, 12, 5, 87--95, September 1992.
  40. T. W. Sederberg, ``Techniques for cubic algebraic surfaces I,''
    IEEE Computer Graphics and Applications, 10, 4, 14--25, July 1990.
  41. T. W. Sederberg, ``Techniques for cubic algebraic surfaces II,''
    IEEE Computer Graphics and Applications, 10, 5, 12--21, September 1990.
  42. T. W. Sederberg and R. N. Goldman,``A tutorial on Algebraic Geometry for Computer Graphics and Computer Aided Geometric Design,'' IEEE Computer Graphics and Applications, June 1986, 52--59.
  43. T. W. Sederberg and D. C. Anderson, ``Steiner Surface Patches,'' IEEE Computer Graphics and Applications, Vol. 5, No. 5, May, 1985, pp.23--36.


    44. International Journal on Computational Geometry and Applications

  44. T. Sederberg, M. Hong, K. Kaneda, and K. Klimaszewski, ``Triangulation of Branching Contours using Area Minimization", International Journal on Computational Geometry and Applications. Vol. 8, No. 4 (1998) 389-406.


    45. Journal of Approximation Theory:

  45. G. Wang, T. W. Sederberg, and F. Chen, ``On the convergence of polynomial approximation of rational curves," Journal of Approximation Theory, Vol. 89, No. 3 (1997) 267-288.


    46. Journal of Symbolic Computation:

  46. T. Sederberg, R. Goldman, and H. Du, ``Implicitizing rational curves by the method of moving algebraic curves" Journal of Symbolic Computation, 23, 153--175, 1997.


    47. The Visual Computer:

  47. R. N. Goldman and T. W. Sederberg, ``Some Applications of Resultants to Problems in Computational Geometry,'' The Visual Computer, Vol. 1, pp.101--107, 1985.

    48. Other Journals and Conferences:

  48. T. W. Sederberg, F. Chen, and K. Klimaszewski, "Rotated explicit curves," Proceedings of CAD & Graphics '97, Fifth International Conference on CAD & CG, 358-361.
  49. G. Wang and T. W. Sederberg, ``Computing areas bounded by rational Bezier curves," Computer Aided Design, Drafting, and Manufacturing, 4, 2, 1994, 18--27.
  50. A. Zundel, T. Saito, S. Owen, T. W. Sederberg, and H. N. Christiansen, ``Gas flow visualization for combustion analysis," Energy and Fuels, Vol. 7, No. 6, 1993, 891--896.
  51. B. Stander, T. W. Sederberg, R. P. Burton, and G. Wang, ``Hybrid surfaces," Computer Aided Design, Drafting, and Manufacturing, Vol. 3, No. 2, 1993, 1--7.
  52. W. C. Lin, K. S. Fu and T. W. Sederberg, ``Estimation of Three-Dimensional Object Orientation for Computer Vision Systems with Feedback,'' Journal of Robotic Systems, 1(1),59--82, 1984.


    53. Refereed Chapters in Books:

  53. T. W. Sederberg and E. Greenwood, ``Shape blending of 2-D piecewise curves", in Mathematical methods for curves and surfaces, M. Daehlen, T. Lyche, and L. Schumaker, eds., Vanderbilt University Press, 1995, 497--506.
  54. T. W. Sederberg and G. Z. Chang, ``Isolating the real roots of polynomials using isolator polynomials,'' Algebraic Geometry and Applications, Special Issue of Symposium on the occassion of Shreeram Abhyankar's 60th Birthday edited by C. Bajaj, Springer Verlag, (1993).
  55. T. W. Sederberg and D. B. Buehler, ``Offsets of Bézier curves: Hermite approximation with error bound,'' in Mathematical Methods in Computer Aided Geometric Design II, T. Lyche and L. L. Schumaker, eds., Academic Press, New York, 1992, pp. 549--558.
  56. T. W. Sederberg and M. Kakimoto, ``Approximating rational curves using polynomial curves,'' in NURBS for Curve and Surface Design, G. Farin, ed., SIAM, Philadelphia, 1991, pp. 149--158.
  57. T. W. Sederberg, Junwu Zhao and Alan Zundel,``Rational Approximation of Algebraic Curves,'' in, Theory and Practice of Geometric Modeling, W. Strasser and H.-P Seidel, Ed., Springer Verlag, 33--54, 1989.
  58. T. W. Sederberg, and J. Snively, ``Parameterizing Cubic Algebraic Surfaces,'' in The Mathematics of Surfaces II, R. R. Martin, ed., Oxford University Press, 1987, pp. 299--320.
  59. T. W. Sederberg,``Algebraic Geometry for Surface and Solid Modeling,'' in Geometric Modeling: Algorithms and Trends, G. Farin, Editor, SIAM, 1987, 29--42.


    60. Book:

  60. G. Chang and T. W. Sederberg, Over and Over Again, New Mathematics Library, to appear.