论文标题
道格拉斯·拉赫福德（Douglas-Rachford）的不可分割的连续紧凑型多维小波
A Douglas-Rachford construction of non-separable continuous compactly supported multidimensional wavelets
论文作者
论文摘要
在重新估算了$ n $维的小波构造问题作为可行性问题，其限制因紧凑的支撑，平滑度和正交性的要求而产生的约束之后，道格拉斯 - - rachford算法都用于搜索一维波和二维小波。在飞机上的扩张是标准的$ d_Af（t）= a^{ - 1} f（t/a）$（t \ in {\ MathBB r}^n，a> 0）$的情况下，生产了新的一维波以及真正不可分割的二维小波。
After re-casting the $n$-dimensional wavelet construction problem as a feasibility problem with constraints arising from the requirements of compact support, smoothness and orthogonality, the Douglas--Rachford algorithm is employed in the search for one- and two-dimensional wavelets. New one-dimensional wavelets are produced as well as genuinely non-separable two-dimensional wavelets in the case where the dilation on the plane is the standard $D_af(t)=a^{-1}f(t/a)$ $(t\in{\mathbb R}^n, a>0)$.
