A Kind of Interpolating Basis Functions with Improved Properties

The main purpose of this work is to develop a kind of interpolating basis functions with good properties for constructing interpolatory curves and surfaces. We first introduce a new class of c?functions with local support. Combined with the sinc function with parameter optimization, we obtain a new kind of interpolating basis functions with similar properties to that of interpolatory subdivision basis functions. Compared with other similar basis functions in the literature, the new basis functions possess exact local support property. The curve example constructed using the new basis shows better visual effect compared with the well-known Akima’s method, while other examples constructed by using the new basis exhibit similar visual effect compared with other similar basis functions in the literature.