A New Digital Implementation of Ridgelet Transform for Images of Dyadic Length
Xia Jun-jun①; Ni Lin①; Y MIAO②
①Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei 230027, China; ②Department of Compute Science and Mathematics, Victoria University, Australia
Abstract:The ridgelet transform is a new directional multi-resolution transform,which is more suitable for describing signals with high dimensional singularities. Finite ridgelet transform is a discrete version of ridgelet transform, which is as numerically precise as the continuous ridgelet transform and has low computational complexity. However, finite ridgelet transform is only suitable for images of prime-pixels length, which is a limitation of its application in image processing. In this paper, an improved finite ridgelet algorithm which is suitable for images of dyadic length is proposed. This method not only expands the application of finite ridgelet, but also simplifies the algorithm.
夏君君; 倪林; Y MIAO. 适用于尺寸为2的幂次方图像的离散ridgelet变换[J]. 电子与信息学报, 2007, 29(2): 421-424 .
Xia Jun-jun; Ni Lin; Y MIAO. A New Digital Implementation of Ridgelet Transform for Images of Dyadic Length. , 2007, 29(2): 421-424 .