Shape analysis of planar trigonometric Bezier curves with two shape parameters
The shape features of planar trigonometric Bezier curves with two shape parameters are analyzed. The necessary and sufficient conditions are derived for these curves to have 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 polygons side vectors. Furthermore the influences of shape parameters on the conditions and the ability for adjusting the shape of the curve are discussed.
Keywords: Trigonometric Bezier curve, Loop, Cusp, Inflection point, Local convexity, Global convexity
Download Full-Text
ABOUT THE AUTHORS
Rongjun Wu
School of Science, Northwestern Polytechnical University, Xi¡¯an 710072, PR China.
Guohua Peng
School of Science, Northwestern Polytechnical University, Xi¡¯an 710072, PR China.
Rongjun Wu
School of Science, Northwestern Polytechnical University, Xi¡¯an 710072, PR China.
Guohua Peng
School of Science, Northwestern Polytechnical University, Xi¡¯an 710072, PR China.
