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- Michael Kalkbrenner
- AAECC
- 1990

In this paper we use Gröbner bases for the implicitization of rational parametric curves and surfaces in 3D-space. We prove that the implicit form of a curve or surface given by the rational parametrization x1 := p1 q1 x2 := p2 q2 x3 := p3 q3 , where the p’s and q’s are univariate polynomials in y1 or bivariate polynomials in y1, y2 over a field K, can… (More)

- R Gebauer, M Kalkbrenner, +21 authors Reference Manual Maple
- 1992

A computer algebra package for constructive algebraic geometry. 27] A.J. van der Schaft. On realization of nonlin-ear systems described by higher-order diieren-tial equations. The inverse problem of the one discussed above (going from state space to input-output form) is simpler, but not trivial: it corresponds directly to implicitization. For an extensive… (More)

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