FROM PENCIL OF LINES TO RATIONAL CURVES

Li Huashan, Qi Dongxu. FROM PENCIL OF LINES TO RATIONAL CURVESJ. Journal of Computer-Aided Design & Computer Graphics, 1996, 8(4): 273-281.

Citation:

Li Huashan, Qi Dongxu. FROM PENCIL OF LINES TO RATIONAL CURVESJ. Journal of Computer-Aided Design & Computer Graphics, 1996, 8(4): 273-281.

Citation:

Li Huashan, Qi Dongxu. FROM PENCIL OF LINES TO RATIONAL CURVESJ. Journal of Computer-Aided Design & Computer Graphics, 1996, 8(4): 273-281.

Abstract

By using the projective geometry, some schemes for generating rational curves from pencil of lines are investigated in this paper. The constructions of rational curves depend on the pencil of lines which may be blended in two or more straight lines. Bernstein polynomials, B-splines or many-knot cardinal splines can be chosen as the blending functions.

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