In this work, coding performances are analyzed for filter banks obtained from inversion of Block Wavelet Transforms (BWT) that match to specific Karhunen–Loeve Transforms (KLT). BWTs are orthogonal matrix transforms that can be obtained from orthogonal subband filter banks. Although the construction methodology of BWT is clear, the reverse operation was not researched. Here, the filters of the ...

There are many ways for detecting defects and classification and these methods have been applied to many areas of industry such as fabric or steel or etc. This paper proposes a method to classify defects of steel Bar In Coil (BIC) which has cylindrical shape. The wavelet transform has been used to detect or classify defects of images recently and the proposed classification algorithm uses wavel...

This article explores the efficiency of motion-compensated three-dimensional transform coding, a compression scheme that employs a motion-compensated transform for a group of pictures. We investigate this coding scheme experimentally and theoretically. The practical coding scheme employs in temporal direction a wavelet decomposition with motion-compensated lifting steps. Further, we compare the...

This paper presents boundary optimization techniques for the nonexpansive decomposition of arbitrary-length signals with multirate filterbanks. Both biorthogonal and paraunitary filterbanks are considered. The paper shows how matching moments and orthonormality can be imposed as additional conditions during the boundary filter optimization process. It provides direct solutions to the problem of...

Wavelet coding has been shown to be better than DCT coding. This method outperforms DCT JPEG codec and moreover allows scalability. 2D DWT can be easily extended to 3D and thus applied to video coding [1, 2, 3, 4, 5, 6]. However 3D subband coding of video suffers from two drawbacks. The first one is the memory complexity required for coding 3D blocks. The second one is the lack of temporal qual...

In this paper, we present an object-based coding scheme using three-dimensional shape-adaptive discrete wavelet transforms (SA-DWT). Rather than straightforward extension of 2D SA-DWT, a novel way to handle the temporal wavelet transform using a motion model is proposed to achieve higher coding efficiency. Corresponding to this transform scheme, we use a 3D entropy coding algorithm called Motio...

This letter addresses the problem of generating a super-resolution (SR) image from a single lowresolution (LR) input image in the wavelet domain. To achieve a sharper image, an intermediate stage for estimating the highfrequency (HF) sub bands has been proposed. This stage includes an edge preservation procedure and mutual interpolation between the input LR image and the HF sub band images, as ...

Conjugate quadrature lters with multiple zeros at 1 have classical applications to unitary subband coding of signals using exact reconstruction lter banks. Recent work shows how to construct, given a set of n negative numbers, a CQF whose degree does not exceed 2n-1 and whose zeros contain the speci ed negative numbers, and applies such lters to interpolatory subdivision and to wavelet construc...

Wavelet or subband coding has been quite successful in compression applications, and this success can be attributed in part to the good approximation properties of wavelets. In this paper, we revisit rate-distortion bounds for wavelet approximation of piecewise smooth functions, in particular the piecewise polynomial case. We contrast these results with rate-distortion bounds achievable using a...

One key problem in subband and wavelet coding systems, is the decomposition of limited size signals. The Wavelet transform is defined for infinitelength signals. In practice we only have finite-length signals, so signals must be extended before they can be transformed. The question is how to extend the signal to minimize signal end effects, or how to find the signal extension that preserves the...