Moving Planes and Singular Points of Rational Parametric Surfaces
نویسندگان
چکیده
In this paper we discuss the relationship between the moving planes of a rational parametric surface and the singular points on it. Firstly, the intersection multiplicity of several planar curves is introduced. Then we derive an equivalent definition for the order of a singular point on a rational parametric surface. Based on the new definition of singularity orders, we derive the relationship between the moving planes of a rational surface and the order of singular points. Especially, the relationship between the μ-basis and the order of a singular point is also discussed.
منابع مشابه
Implicitizing rational surfaces with base points using the method of moving surfaces
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