中文摘要：

在这篇论文，二维的弄歪的分离 Fourier 变换(2-DWDFT ) 基于 1-D WDFT 的概念被开发。一个准确计算算法与特殊结构基于矩阵 factorizing 为 2-D WDFT 被开发。一个快算法然后被建议极大地减少反的 2-D WDFT 的计算复杂性。最后，数字例子被给显示出建议途径的效率。

英文摘要：

In this paper, the two-dimensional Warped Discrete Fourier Transform （2-D WDFT） is developed based on the concept of the 1-D WDFT. An exact computation algorithm is developed for 2-D WDFT based on matrix factorizing with special structure. A fast algorithm is then proposed to reduce greatly the computational complexity of the inverse 2-D WDFT. Finally, numerical examples are given to show the efficiency of the proposed approach.