Design of 6-Band Tight Frame Wavelets With Limited Redundancy

Abdelnour, A. Farras

doi:10.1109/isspit.2006.270784

Cited by 3 publications

(3 citation statements)

References 18 publications

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“…For standard dyadic wavelets, few wavelet bases can compete with the 9/7 filter, and it is hard to improve the performance it achieves significantly [26]. For certain image processing applications, such as denoising, wavelet frames with nearly shift-invariant properties show promise [27], but they are expansive, that is, the number of wavelet coefficients produced is larger than the number of input samples [28], which complicates their possible use in compression applications.…”

Section: Systems Based On Waveletsmentioning

confidence: 99%

Scalable video coding with multi-layer motion vector palettes

Spiteri¹,

Nunez-Yanez²

2012

IET Image Processing

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Scalable video coding (SVC) allows an encoded bitstream to be brought down in scale or quality without the need for further processing. This study presents a wavelet-based motion-compensated system for SVC. The motion vectors are encoded in a scalable manner that employs a palette of motion vectors split into layers, which gives good scalability and low bit rates. The algorithms were designed to keep the complexity and memory requirements low, making the system suitable for hardware implementation. Experimental results show that the compression performance of the proposed system compares well with the joint scalable video model reference software for scalable video extension to H.264/AVC, while providing a finer and larger range of quality scalability.

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Section: Systems Based On Waveletsmentioning

confidence: 99%

Scalable video coding with multi-layer motion vector palettes

Spiteri¹,

Nunez-Yanez²

2012

IET Image Processing

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“…The resulting filterbanks require pre/post processing with IIR filter. In a more recent paper [31], 6-band tight frame filterbanks with scaling factor M = 4, and with symmetric lowpass filter, are designed using Gröbner basis method [32,33]. In [34], the authors propose n-dimensional tight frames obtained from orthogonal filterbanks by properly reducing the downsampling rate.…”

Section: Introductionmentioning

confidence: 99%

Symmetric tight frame wavelets with dilation factor M=4

Abdelnour

2011

Signal Processing

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In this paper we discuss a new set of symmetric tight frame wavelets with the associated filterbank outputs downsampled by four at each stage. The frames consist of seven generators obtained from the lowpass filter using spectral factorization, with the lowpass filter obtained via a simple method using Taylor polynomials. The filters are simple to construct, and offer smooth scaling functions and wavelets. Additionally, the filterbanks presented in this paper have limited redundancy while maintaining the smoothness of underlying limit functions. The filters are linear phase (symmetric), FIR, and the resulting wavelets possess vanishing moments.

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“…In an earlier paper, 21 6-band tight frame wavelets are introduced. The filters have limited redundancy but lack symmetry.…”

Section: Introductionmentioning

confidence: 99%

Tight frame 6-band symmetric wavelets with limited redundancy

Abdelnour

2011

SPIE Proceedings

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We consider the design of 6-channel tight frame symmetric wavelet with scaling factor M = 4. The lowpass filter is designed using either Gröbner bases or truncated Taylor series methods. The bandpass and highpass filters are then designed using Gröbner bases. The resulting filters have linear phase, smooth limit functions, and reduced redundancy. It was possible to obtain filterbanks with K 0 (zeros at z = 1 and z = ±j for the lowpass filter) up to 5 and K min (zeros at z = 1 for bandpass/highpass filters) of 1 or greater. The proposed filterbanks generate five wavelets and a scaling function with the underlying filters related as follows: H 5−i (z) = H i (−z), i = 0 . . . 5.

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Design of 6-Band Tight Frame Wavelets With Limited Redundancy

Cited by 3 publications

References 18 publications

Scalable video coding with multi-layer motion vector palettes

Scalable video coding with multi-layer motion vector palettes

Symmetric tight frame wavelets with dilation factor M=4

Tight frame 6-band symmetric wavelets with limited redundancy

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