Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves

Farouki, Rida A. M. T. (avtor), Knez, Marjetka (avtor), Vitrih, Vito (avtor), Žagar, Emil (avtor)

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 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.

• Jezik: Angleški jezik
• Ključne besede: complex polynomials, inner product, norm, metric, Pythagorean-hodograph curves, bounded modification
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: 16 str.
• Številčenje: Vol. 456, art. 116235
• PID: 20.500.12556/RUL-160684
• UDK: 519.6
• ISSN pri članku: 0377-0427
• DOI: 10.1016/j.cam.2024.116235
• COBISS.SI-ID: 206109955
• Datum objave v RUL: 03.09.2024

Gradivo je del revije

• Naslov: Journal of computational and applied mathematics
• Skrajšan naslov: J. comput. appl. math.
• Založnik: Elsevier
• ISSN: 0377-0427
• COBISS.SI-ID: 27496960

Licence

• Licenca: CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
• Opis: Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.