𝔖 Bobbio Scriptorium
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Smooth polynomial approximation of spiral arcs

✍ Scribed by R.J. Cripps; M.Z. Hussain; S. Zhu


Book ID
104006949
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
791 KB
Volume
233
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES


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A biarc is a one-parameter family of G 1 curves that can satisfy G 1 Hermite data at two points. An arc spline approximation to a smooth planar curve can be found by reading G 1 Hermite data from the curve and ΓΏtting a biarc between each pair of data points. The resulting collection of biarcs forms

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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