On derivative bounds for the rational quadratic Bézier paths

New derivative bounds for the rational quadratic Bézier paths are obtained, both for particular weight vectors and for classes of equivalent parametrisations. A comprehensive analysis of our bounds against existing bounds is made.

► Two new series of derivative bounds for rational Bézier quadratic paths are derived.
► A comprehensive evaluation of derivative bounds for rational Bézier quadratic paths is undertaken.
► Some limitations of the degree-elevation and convexity methods for the determination of derivative bounds are identified.