Research of Constructing a Perfect Reconstruction Model Using Box Spline
利用Box样条构造完全重构模型的研究

This paper presents a method to combine so|called multiband DFT filter bank with bivariate Box splines to construct a perfect reconstruction model for image processing. Based on the theory of B|splines, which are useful tool in many fields, Box Spline is said to be an extension, with the aim at describing multi|variate functions. In this paper, firstly, it introduces the DFT filter bank, and presents the condition to form a perfect reconstruct model. Then it describes bivariate Box splines and its some properties in little more details. It especially presents a particular class of bivariate Box splines, and use it to construct a decomposition/reconstruction model, which may be candidates for some kinds of task in image processing. This model is proved to be satisfied by the perfect reconstruction condition, and thus can be quite useful theoretically. At last, some experimental results are given to demonstrate the use fulness of this model.