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Approximation of a planar cubic Bézier spiral by circular arcs

✍ Scribed by D.J. Walton; D.S. Meek

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
547 KB
Volume
75
Category
Article
ISSN
0377-0427

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✦ Synopsis

A planar cubic B6zier curve that is a spiral, i.e., its curvature varies monotonically, does not have internal cusps, loops, and inflection points. It is suitable as a design tool for applications in which fair curves are important. Since it is polynomial, it can be conveniently incorporated in CAD systems that are based on B-splines, B6zier curves, or NURBS. When machining objects, it is desirable that as much as possible of a curved toolpath be approximated by a sequence of circular arcs rather than straight-line segments. Such an arc-spline approximation of a planar cubic B6zier spiral is presented.

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