Parameterization of Bivariate Nonseparable Orthogonal Symmetric Scaling Functions with Short Support

• 作 者: Shou Zhi YANG Yan Mei XUE
• 机 构: DepartmentofMathematics
• 出 处: 数学研究与评论：英文版
• 发表日期: 2010年4期
• 基金项目: Supported by the Natural Science Foundation of Guangdong Province （Grant Nos. 06105648, 05008289, 032038）, the Doctoral Foundation of Guangdong Province （Grant No.04300917）

Let I be the 2 × 2 identity matrix, and M a 2 × 2 dilation matrix with M2 = 2I. First, we present the correlation of the scaling functions with dilation matrix M and 2I. Then by relating the properties of scaling functions with dilation matrix 2