21 citations · 31 across the 4 of their papers we have counts for
4 papers
Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves
Rida T. Farouki, Marjeta Knez, Vito Vitrih +1
By interpreting planar polynomial curves as complex-valued functions of a real parameter, an inner product, norm, metric function, and the notion of orthogonality may be defined fo…
Minkowski products of unit quaternion sets
Rida T. Farouki, Graziano Gentili, Hwan Pyo Moon +1
The Minkowski product of unit quaternion sets is introduced and analyzed, motivated by the desire to characterize the overall variation of compounded spatial rotations that result…
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli +2
A rotation-minimizing frame on a space curve defines an orthonormal basis for in which …
Solution of a quadratic quaternion equation with mixed coefficients
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli +2
A comprehensive analysis of the morphology of the solution space for a special type of quadratic quaternion equation is presented. This equation, which arises in a surface construc…