The Design and Use of Steerable Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multirate systems and filter banks
Multirate systems and filter banks
A Framework for Discrete Integral Transformations I—The Pseudopolar Fourier Transform
SIAM Journal on Scientific Computing
Multiresolution direction filterbanks: theory, design, and applications
IEEE Transactions on Signal Processing - Part I
A class of M-channel linear-phase biorthogonal filter banks andtheir applications to subband coding
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
A Class of Multiresolution Directional Filter Banks
IEEE Transactions on Signal Processing
Improved structures of maximally decimated directional filter Banks for spatial image analysis
IEEE Transactions on Image Processing
Multidimensional, mapping-based complex wavelet transforms
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Directionlets: anisotropic multidirectional representation with separable filtering
IEEE Transactions on Image Processing
The Nonsubsampled Contourlet Transform: Theory, Design, and Applications
IEEE Transactions on Image Processing
A flexible directional image representation using pseudo polar fourier transform based DFBs
PCM'12 Proceedings of the 13th Pacific-Rim conference on Advances in Multimedia Information Processing
Hi-index | 35.68 |
This correspondence proposes a novel method for designing directional filter banks (DFBs) with arbitrary number of subbands. Its key feature is the ability to decompose images into arbitrary directionally oriented subbands. The proposed approach is based on the pseudopolar Fourier transform (PPFT) and one-dimensional (1-D) filter banks (FBs). We take some modifications on the PPFT and then employ 1-D FBs to the modified PPFT. With these operations, the two-dimensional (2-D) DFBs are obtained and the design of them is converted to that of 1-D FBs plus a modified PPFT. Since the number of channels of 1-D FBs can be arbitrary, the 2-D DFBs with arbitrary number of subbands can be achieved which is highly expected for directional representations of images. Two examples on directional feature extractions illustrate that the proposed non-2n channel DFBs can capture directional information more flexibly than the existing methods.