An orthogonal basis for the hyperbolic hybrid polynomial space

作者：Yu Huang^*; Wang GuoZhao

来源：Science in China - Series F: Information Sciences , 2007, 50(1): 21-28.

DOI：10.1007/s11432-007-0004-y

• H-Bezier basis
• orthogonal basis
• basis transformations
• degree reduction

Motivated by the wide usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal basis with the properties of the H-Bezier 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-Bezier basis and the orthogonal basis forms into each other. An example for approximating the degree reduction of the H-Bezier curves is sketched to illustrate the utility of the orthogonal basis.

• 出版日期2007-2
• 单位浙江大学