20.500.12556/DiRROS-20330-9ec16288-caa2-b6a2-2c48-7752cc9fa8a7 Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves 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. complex polynomials inner product norm metric Pythagorean-hodograph curves bounded modification true false true Angleški jezik Ni določen Neznano 2024-09-04 07:53:31 2024-09-04 07:53:31 2024-09-10 13:58:50 0000-00-00 00:00:00 2025 0 0 16 str. [article no.] 116235 Vol. 456 Mar. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-03-01 519.6 0377-0427 10.1016/j.cam.2024.116235 206109955 1-s2.0-S0377042724004849-main-1.pdf 1-s2.0-S0377042724004849-main-1.pdf 1 792AD47B41AE144A4396EE0D17E722A7 80c63ef25397738e7bf3ec829602f635ff8545acf85899b0699b764fcc822e7d 50fb92d0-6a71-11ef-b487-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=28546 https://www.sciencedirect.com/science/article/pii/S0377042724004849 1 41867948-6a71-11ef-b487-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=28545 Inštitut za matematiko, fiziko in mehaniko 0 0 0