A Class of Near Shift-Invariant and Orientation-Selective Transform Based on Delay-Less Oversampled Even-Stacked Cosine-Modulated Filter Banks

Kyochi, Seisuke; Ikehara, Masaaki

doi:10.1587/transfun.e93.a.724

Cited by 12 publications

(18 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The first real part filter bank is a normal cosine-modulated filter bank (CMFB), while the dual filter bank is a sine-modulated filter bank (SMFB). Other filter bank structures of the modulated filter banks also show to have equivalent properties to the M -band DTCWT [6], [7].…”

Section: Introductionmentioning

confidence: 95%

Design of cosine-sine modulated filter banks without DC leakage

Maass

Phan

Mertins

2014

2014 19th International Conference on Digital Signal Processing

View full text Add to dashboard Cite

We propose a new design structure for the Mband dual-tree wavelet transform based on the idea of using cosine-sine modulated filter banks. The filter coefficients for the real and imaginary parts of the transform will be computed by using cosine-and sine-modulated filter banks, respectively. In the proposed structure, the zero-delay and maximum-delay matrices calculated for the cosine-modulated filter banks will be extended for sine-modulated filter banks with a few sign changes. Furthermore, the resulting structure can be easily enforced with the constraints so that the prototype is able to produce a pair of DC-leakage-free filter banks. The experimental results confirmed these advantageous properties of our proposed design structure.

show abstract

Section: Introductionmentioning

confidence: 95%

Design of cosine-sine modulated filter banks without DC leakage

Maass

Phan

Mertins

2014

2014 19th International Conference on Digital Signal Processing

View full text Add to dashboard Cite

show abstract

“…Moreover, since original MLTs suffer from poor directional selectivity (i.e. corresponding two dimensional wavelet basis functions are oriented along only vertical, horizontal, and ±45 • directions), we extend the original MLT to the dual-tree MLT which can be classified into a family of dualtree complex transforms [8,9,10,11] for rich directional selectivity. Furthermore, efficient lattice structures of the proposed FCS are shown to reduce its computational cost.…”

Section: Introductionmentioning

confidence: 99%

Fractional cycle spinning via modulated lapped transform for overcomplete image representation

Kyochi

Ikehara

2014

2014 IEEE International Conference on Image Processing (ICIP)

Self Cite

View full text Add to dashboard Cite

This paper aims to introduce an overcomplete transform based on fractional cycle spinning (FCS). Conventionally, the CS approach of wavelet transforms has been proposed, in order to achieve translation invariance with redundancy, unlike the classical critically sampled wavelet transform. This advantage contributes to efficient image processing, such as image denoising. The proposed FCS generalizes CS and show that richer overcompleteness can be provided by fractional shifts of input signals. For realizing fractional delay, we present the approach based on modulated lapped transforms (MLTs). It is shown that their filter kernels can express arbitrary fractional delay by carefully selecting their window function. In addition, this paper extend the conventional MLT to the dual-tree MLT to improve its poor directional selectivity. Then, an efficient lattice structure for the FCS is described for lower computational complexity. Finally experimental results show FCS can be applied better than the conventional CS in image denoising.

show abstract

“…It is constructed by two parallel critically-decimated filter banks (FBs) and has the limited redundancy of 2 d for d-dimensional signals, which is independent of decomposition level. By constraining the aliasing caused by downsampling in the primal FB to be cancelled approximately with that in the dual FB, the DTCWT achieves approximate shift-invariance and [2], (b) M-band DTCWT [6] and CSMFB [18], (c) DOECFB [19].…”

Section: Introductionmentioning

confidence: 99%

“…In response to the limitations above, the cosine-modulation was introduced into designing DTTs [18], [19]. In [18], the cosine-sine modulated filter bank (CSMFB) which has the same structure as in Fig.…”

Section: Introductionmentioning

confidence: 99%

“…Although the CSMFB avoids fractional-delay constraints, its modulated analysis and synthesis filters cannot have the LP property theoretically. In [19], the proposed delay-less oversampled even-stacked cosine-modulated filter bank (DOECFB) arose from the LP critically-decimated ECFB [21] by replacing the decimation factor 2M with M (see Fig. 1(c)), and thus has the LP individual filters.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dual-Tree Cosine-Modulated Filter Bank With Linear-Phase Individual Filters: An Alternative Shift-Invariant and Directional-Selective Transform

Liang

Liu

2013

IEEE Trans. on Image Process.

View full text Add to dashboard Cite

Dual-tree transforms have recently received much attention for the properties of shift-invariance and directional-selectivity. However, their designs generally encounter fractional-delay constraints, and become more complicated for providing linear-phase (LP) individual filters and flexible directional-selectivity, two important properties in image processing. In this paper, we propose an alternative shift-invariant and directional-selective transform-the dual-tree cosine-modulated filter bank (DTCMFB). In the proposed DTCMFB, its primal and dual filter banks are derived by cosine-modulating one LP prototype filter, and thus its design involves no fractional-delay constraints. Meanwhile, the derived modulation technique guarantees each individual filter to be LP and the LP condition is satisfied without any constraint on the prototype filter. By separable operations, the DTCMFB is extended to two-dimensions. The resulting 2D DTCMFB can provide much more flexible directional-selectivity. Finally, several simulations are given to verify the proposed DTCMFB, and the experiments on nonlinear approximation and image denoising are presented to demonstrate its potential in image processing.

show abstract

A Class of Near Shift-Invariant and Orientation-Selective Transform Based on Delay-Less Oversampled Even-Stacked Cosine-Modulated Filter Banks

Cited by 12 publications

References 13 publications

Design of cosine-sine modulated filter banks without DC leakage

Design of cosine-sine modulated filter banks without DC leakage

Fractional cycle spinning via modulated lapped transform for overcomplete image representation

Dual-Tree Cosine-Modulated Filter Bank With Linear-Phase Individual Filters: An Alternative Shift-Invariant and Directional-Selective Transform

Contact Info

Product

Resources

About