منابع مشابه
Characterization of Rational Ruled Surfaces
The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form. In this paper, we present algorithms to determine whether a given implicit surface is a rational ruled surface. A parametrizat...
متن کاملA characterization of analytic ruled surfaces
We address the following question. Consider a sub-manifold of an affine space, defined by its equations F = 0: does there exist a finite characterization of ruled sub-manifolds in terms of derivatives of F via algebraic inequalities and/or equalities ? This question is related to an open problem in control theory: the finite characterization of flat systems [2] and, more generally, of systems l...
متن کاملStructure and characterization of ruled surfaces in Euclidean 3-space
Keywords: Ruled surface Structure function Pitch function Angle function of pitch Weingarten surface Binormal ruled surface a b s t r a c t In this paper, using the elementary method we study ruled surfaces, the simplest foliated submanifolds, in Euclidean 3-space. We define structure functions of the ruled surfaces, the invariants of non-developable ruled surfaces and discuss geometric propert...
متن کاملApproximation by ruled surfaces
Given a surface or scattered data points from a surface in 3-space, we show how to approximate the given data by a ruled surface in tensor product B-spline representation. This leads us to a general framework for approximation in line space by local mappings from the Klein quadric to Euclidean 4-space. The presented algorithm for approximation by ruled surfaces possesses applications in archite...
متن کاملCharacterizations of Slant Ruled Surfaces in the Euclidean 3-space
In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generate...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1997
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500031852