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A New Quasi Cubic Rational System with Two Parameters
relative properties of the B-spline system are analyzed. Then, the definition and properties of nonuniform QCR B-spline curves are discussed in detail. Finally, the proposed QCR system is extended to the triangular domain, which is called the quasi-cubic rational Bernstein-Bézier (QCR-BB) system, and its related definition and properties of patches are given at length. The experimental image obtained by using MATLAB shows that the newly constructed system has excellent properties such
as symmetry, totally positive, and C2 continuity, and its corresponding curve has the properties of local shape adjustability and C2 continuity. These extended systems in the extended triangular
domain have symmetry, linear independence, etc. Hence, the methods in this article are suitable for the modeling design of complex curves and surfaces.
Tuo, M.-X.; Zhang, G.-C.; Wang, K. A New Quasi Cubic Rational System with Two Parameters. Symmetry 2020, 12, 1070.
Tuo M-X, Zhang G-C, Wang K. A New Quasi Cubic Rational System with Two Parameters. Symmetry. 2020; 12(7):1070.Chicago/Turabian Style
Tuo, Ming-Xiu; Zhang, Gui-Cang; Wang, Kai. 2020. "A New Quasi Cubic Rational System with Two Parameters." Symmetry 12, no. 7: 1070.