Shape Analysis of Planar Trigonometric Bézier Curves with Two Shape Parameters
نویسندگان
چکیده
The shape features of planar trigonometric Bézier curves with two shape parameters are analyzed. The necessary and sufficient conditions are derived for these curves having one or two inflection points, a loop or a cusp, or be locally or globally convex. All conditions are completely characterized by the relative position of the control polygon’s side vectors. Furthermore we discussed the influences of shape parameters on the conditions and the ability for adjusting the shape of the curve.
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