Motivated by the wlde usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal basis with the properties of the H-Bézier basis In the hyperbolic hybrid polynomi...Motivated by the wlde usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal basis with the properties of the H-Bézier basis In the hyperbolic hybrid polynomial space, which is similar to the Legendre basis and holds remarkable properties. Moreover, we derive the transformation matrices that map the H-Bézler basis and the orthogonal basis forms into each other. An example for approximating the degree reduction of the H- Bézier curves Is sketched to Illustrate the utility of the orthogonal basis.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 60473130) the National "973" Key Basic Research Project (Grant No. 2004CB318006)
文摘Motivated by the wlde usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal basis with the properties of the H-Bézier basis In the hyperbolic hybrid polynomial space, which is similar to the Legendre basis and holds remarkable properties. Moreover, we derive the transformation matrices that map the H-Bézler basis and the orthogonal basis forms into each other. An example for approximating the degree reduction of the H- Bézier curves Is sketched to Illustrate the utility of the orthogonal basis.
