Nonuniform corner cutting
نویسندگان
چکیده
منابع مشابه
Rectangular Corner Cutting Sylvester
This paper presents a way to construct the Sylvester A-resultant matrix for three bi-degree (m; n) polynomials whose exponent set is cut oo by rectangles at the corners. The paper also shows that the determinant of this matrix does give the resultant of the three polynomials.
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If we can evaluate a curve by means of a corner cutting algorithm, we call the corresponding system of functions a corner cutting system. We prove that corner cutting systems are always monotonicity preserving. We obtain weak sufficient conditions for corner cutting systems. Optimal stability properties and properties concerning the supports of the basis functions of corner cutting systems are ...
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Here cI . . . . . c~ are vectors (control points) in some s-dimensional linear space, say W. The control polygon is then determined by the composite vector c r R "~ and we can think of c geometrically as a polygonal line. Various algorithms for the manipulation and computation of such curves take the form of successive geometric alterations of the control polygon. In particular, in the case of ...
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G. de Rham (1947), Un peu de math ematiques a propos d'une courbe plane, Elemente der Mathematik, 2(4):89{104. G. de Rham (1956), Sur une courbe plane, Journal de Math ematiques pures et appliqu ees, 35:25{42. 27 Figure 28: Each point in the shaded area carries a continuum of lines such that the associated aane standard cut produces C 1-curves without line segments. Hence for each contact point...
متن کاملLocal corner cutting and the smoothness of the limiting curve
Stimulated by recent work by Gregory and Qu, it is shown that the limit of local corner cutting is a continuously differentiable curve in case the corners of the iterates become increasingly flat.
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 1996
ISSN: 0167-8396
DOI: 10.1016/0167-8396(96)00008-8