Implicit Curves and Surfaces in CAGD
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
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
The moving line ideal basis of planar rational curves
Computer Aided Geometric Design
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The method of moving lines and moving curves is a technique for computing the implicit equation of a parametric curve. The efficiency of this method has been significantly enhanced by the introduction of the &mgr;-basis for planar rational curves. This paper makes some initial contributions in defining the &mgr;-basis of a rational surface, and it proves some important properties of the proposed basis. The concepts are based on syzygy modules.