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Št. zadetkov: 3
On ▫$L^2$▫ approximation by planar Pythagorean-hodograph curves
Rida T. Farouki, Marjetka Knez, Vito Vitrih, Emil Žagar
Izvirni znanstveni članek
Oznake: ▫$L^2$▫ approximation;complex polynomial;Pythagorean-hodograph curve;Pythagorean-hodograph spline;preimage;
The ▫$L^2$▫ approximation of planar curves by Pythagorean-hodograph (PH) polynomial curves is addressed, based on the distance defined by a metric for planar curves represented as complex valued functions of a real parameter. Because of the nonlinear nature of polynomial PH curves, constructing ▫$L^ ...
Leto: 2025 Vir: Fakulteta za matematiko, naravoslovje in informacijske tehnologije Koper (UP FAMNIT)
Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves
Rida A. M. T. Farouki, Marjetka Krajnc, Vito Vitrih, Emil Žagar
Izvirni znanstveni članek
Oznake: complex polynomials;inner product;norm;metric;Pythagorean-hodograph curves;bounded modification;
By interpreting planar polynomial curves as complex-valued functions of a real parameter, an inner product, norm, metric function, and the notion of orthogonality may be defined for such curves. This approach is applied to the complex pre-image polynomials that generate planar Pythagorean-hodograph ...
Leto: 2025 Vir: Repozitorij Univerze v Ljubljani (RUL)
On L[sup]2 approximation by planar Pythagorean-hodograph curves
Rida A. M. T. Farouki, Marjetka Krajnc, Vito Vitrih, Emil Žagar
Izvirni znanstveni članek
Oznake: L[sup]2 aproksimacija;PH krivulja;PH zlepek;praslika;▫$L^2$▫ approximation;complex polynomial;Pythagorean-hodograph curve;Pythagorean-hodograph spline;preimage;
The ▫$L^2$▫ approximation of planar curves by Pythagorean-hodograph (PH) polynomial curves is addressed, based on the distance defined by a metric for planar curves represented as complex valued functions of a real parameter. Because of the nonlinear nature of polynomial PH curves, constructing ▫$L^ ...
Leto: 2025 Vir: Repozitorij Univerze v Ljubljani (RUL)
Št. zadetkov: 3
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