Symbolic parametrization of curves
Journal of Symbolic Computation
Curve implicitization using moving lines
Computer Aided Geometric Design
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicitizing rational curves by the method of moving algebraic curves
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Parametrization of algebraic curves over optimal field extensions
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Rational parametrizations of algebraic curves using a canonical divisor
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
The moving line ideal basis of planar rational curves
Computer Aided Geometric Design
A direct approach to computing the &mgr;-basis of planar rational curves
Journal of Symbolic Computation
On the homology of two-dimensional elimination
Journal of Symbolic Computation
Minimal generators of the defining ideal of the Rees Algebra associated to monoid parameterizations
Computer Aided Geometric Design
| Hi-index | 5.23 |
The Rees algebra of an ideal in a commutative ring is the quotient of a polynomial ring by its ideal of defining relations. For a polynomial ring in two variables, this ideal was discovered independently by the geometric modeling community, where it is called the moving curve ideal. We review some properties of the Rees algebra and discuss one result and one conjecture concerning the structure of the moving curve ideal and its relation to adjoint curves. Some parts of the paper are purely expository.