Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curvesFarouki, Rida T. (Avtor) Knez, Marjetka (Avtor) Vitrih, Vito (Avtor) Žagar, Emil (Avtor) complex polynomialsinner productnormmetricPythagorean-hodograph curvesbounded modificationBy 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 for such curves. This approach is applied to the complex pre-image polynomials that generate planar Pythagorean-hodograph (PH) curves, to facilitate the implementation of bounded modifications of them that preserve their PH nature. The problems of bounded modifications under the constraint of fixed curve end points and end tangent directions, and of increasing the arc length of a PH curve by a prescribed amount, are also addressed.20252024-09-03 13:06:50Članek v reviji160684UDK: 519.6ISSN pri članku: 0377-0427DOI: 10.1016/j.cam.2024.116235COBISS_ID: 206109955sl