Orthonormal ridgelets and linear singularities
SIAM Journal on Mathematical Analysis
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Design of directional filter banks with arbitrary number of subbands
IEEE Transactions on Signal Processing
Uniform discrete curvelet transform
IEEE Transactions on Signal Processing
A new class of two-channel biorthogonal filter banks and waveletbases
IEEE Transactions on Signal Processing
A filter bank for the directional decomposition of images: theoryand design
IEEE Transactions on Signal Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
The Nonsubsampled Contourlet Transform: Theory, Design, and Applications
IEEE Transactions on Image Processing
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This paper presents a kind of basis functions used for image directional representation, which are obtained from the pseudo polar Fourier transform-based directional filter banks (PPFT-DFBs). The basis functions so obtained have the attractive properties of i) flexible direction and ii) arbitrary number of subbands. More specifically, we give the derivation of the basis function from the equivalent directional filter of PPFT-DFBs. Further, we analyze the properties of basis functions and their corresponding basis images. Experiments are given to testify the flexibility of basis functions and their efficiency in directional representation.