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In this paper, a novel design method of critically sampled contourlet transform (CSCT) is proposed. Although, several types of CSCT have been proposed, they have some problems on efficiency and flexibility of their frequency plane partition patterns. In contrast to the way in conventional design methods based on a "top-down" approach, the proposed one is(More)
In this paper, we propose a two dimensional (2D) non-separable adaptive directional lifting (ADL) structure of discrete wavelet transform (DWT) and its image coding application. Conventionally, we have proposed a polyphase representation of a 2D non-separable lifting structure of DWT. We generalize the polyphase representation in this paper and one(More)
The multiplierless fast Fourier transform (FFT) with dyadic-valued (rational) coefficients is important for many signal processing tools. The proposed lifting based FFT (L-FFT) based on fast Hartley transform (FHT) has a simpler structure than existing ones because fewer lifting steps need to be approximated. In addition, it has a structure of real-valued(More)
—This paper proposes a directional and shift-invariant transform based on M-channel rational-valued cosine-sine modulated filter banks (R-CSMFBs) for the practical implementation on hardware devices. M-channel CSMFBs can be easily designed by the modulation of a prototype filter and achieve a good stopband attenuation. In addition, in our previous work, the(More)
This paper aims to design a new two-dimensional (2D) non-separable implementation of dyadic-valued cosine-sine modulated filter banks (2D D-CSMFBs) for low computational complexity. CSMFBs satisfy rich directional selectivity (DS) and shift-invariance (SI), and they can be easily designed by the modulation of a prototype filter. In addition, our previous(More)
In this paper, we propose a lattice structure of two-dimensional (2-D) linear-phase paraunitary filter banks (LPPUFBs) called as 2-D GenLOT. Muramatsu et al. have proposed a lattice structure of 2-D LPPUFBs conventionally. Our 2-D GenLOTs save design parameters and computational costs compared to the conventional 2-D LPPUFBs. We impose the regularity(More)
We present a mean value extension for cosine-sine modulated filter banks (CSMFBs), which are a class of dual-tree complex wavelet transforms (DTCWTs) and provide rich directional selectivity in image processing. The conventional signal extensions for CSMFBs yield annoying artifacts at the image boundaries due to the directionality being ignored. To mitigate(More)
We propose an oversampled cosine-sine modulated filter bank (OCSMFB) for richer overcompleteness contributing sparse directional image representation. The CSMFB, proposed as an alternative of the dual-tree complex wavelet transform (DTCWT), can be designed easily by modulating a prototype filter and can work in image processing tasks better than the DTCWT.(More)