Inflection points and singularities on C-curves

We show that all so-called C-curves are affine images of trochoids or sine curves and use this relation to investigate the occurrence of inflection points, cusps, and loops. The results are summarized in a shape diagram of CB

• Type: Journal
• Year: 2004
• Where: CAGD
• Authors: Qinmin Yang, Guozhao Wang
• Keywords: C-b´ezier Curve, CAGD 2004, Inflection Point, So-called C-curves