l1-SPIRiT is a fast magnetic resonance imaging (MRI) method which combines parallel imaging (PI) with compressed sensing (CS) by performing a joint l1-norm and l2-norm optimization procedure. The original l1-SPIRiT method uses two-dimensional (2D) Wavelet transform to exploit the intra-coil data redundancies and a joint sparsity model to exploit the inter-coil data redundancies. In this work, w...

The work presented in this paper extends the concept of sub-band video coding based on a 3D wavelet transform to a more adaptive approach. A formal comparison is presented between the performances inferred by the use of the 3D wavelet transform and the use of a 2D wavelet in the spatial domain extended by a locally adaptive transform in the temporal dimension. Some advantages are foreseen for t...

Scalable video coding utilizing the wavelet transform applied to both the spatial and temporal domains (3D-DWT) is of current interest in video coding. In the case of the 2D+t scheme, motion estimation is required to be conducted in the wavelet domain. We explore approaches that overcome the well-known shift-variant property of the wavelet transform so that motion is estimated accurately. Speci...

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...

We present a preliminary investigation of compression of segmented 3D seismic volumes for the rendering purposes. Promising results are obtained on the base of 3D discrete cosine transforms followed by the SPIHT coding scheme. An accelerated version of the algorithm combines 1D discrete cosine transform in vertical direction with the 2D wavelet transform of horizontal slices. In this case the S...

A efficient VLSI based architecture is proposed in this paper for implementation Discrete Wavelet Transform (DWT) of 5/3 filter. The proposed architecture includes transforms modules, a RAM and bus interfaces. This architecture works in non separable fashion using a serial-parallel filter with distributed control to compute all the DWT (1D-DWT and 2D-DWT) resolution levels. KeywordsDiscrete Wav...

2 Fast Wavelet Transform The 2D fast wavelet transform can be represented as a convolution of the image with one-dimensional low-pass h(n) and high-pass g(n) filters (see Figure 1). This procedure results in subband images which provide the global context as well as image details at horizontal, vertical and diagonal directions. Therefore, this tool is suitable for representing numerical charact...

The wavelet transform is denoted by ‘WT’ gained wide-ranging approval in processing signal and in compressing image. A 2D analysis must be implemented to use WT for processing the image. Such powerful signal analysis technique can be implemented for non-stationary data using Lifting architecture for the Discrete Wavelet Transform (DWT). Since high speed implementation with low latency is a dema...

We present an algorithm that compresses two-dimensional data arrays, which are piece-wise smooth in one direction and have oscillating events in the other direction. Seismic, hyper-spectral and fingerprints data have this mixed structure. The transform part of the compression process is an algorithm that combines wavelet and the local cosine transform (LCT) also called an hybrid transform. The ...