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Volume 14 Issue 5
September  1999
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ZHANG Shugong, REN Honaiu. Hyperfinite Interpolation, Wu s Method and Blendingof Implicit Algebraic Surfaces[J]. Journal of Computer Science and Technology, 1999, 14(5): 518-529.
Citation: ZHANG Shugong, REN Honaiu. Hyperfinite Interpolation, Wu s Method and Blendingof Implicit Algebraic Surfaces[J]. Journal of Computer Science and Technology, 1999, 14(5): 518-529.
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Hyperfinite Interpolation, Wu s Method and Blendingof Implicit Algebraic Surfaces

  • Institute of Mathematics; Jilin University; Changchun 130023; P.R. China ;

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  • Published Date: September 09, 1999
    Abstract
  • one of the central questions in CAGD[1] is blending surfaces whichprovides the theoretical baJsis for the design technology of space surfaces. We willdiscuss the general theories and algorithms for multivariate hyperfinite interpolationand their aPplication to the blending of implicit algebraic surfaces, and investigate theexistence conditions of hyperfinite interpolation. Based on Wu's theory on blendingimplicit algebraic surfaces, the problem of blending two quadric surfaces is studied.The conditions for …
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    • References (3)
  • [1]
    Wu Wen-tsun. On surface-fitting problem in CAGD. MM Research Preprints, 1993, (10): 1-10.
    [2]
    Becker T, Weispfenning V. Gorebner Basis, A Computational Approach to Commutative Algebra. Graduate Texts in, Mathematics, Springer-Verlag, 1993, Vo1.141.
    [3]
    Warren J. Blending algebraic surfaces. ACM Transactions on, Graphics, 1989, 8(4): 263-278. ……….
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