Multi-resolution analysis of digital image has attracted numerous studies since dyadic wavelet transform was introduced to this field. Aiming at achieving accurate and stationary edge detection, an improved Mallat wavelet decomposition algorithm was employed. This algorithm was defined by a low frequency component and three high frequency components. Two-dimensional signal can be reconstructed ...

The denoising of a natural image corrupted by noise is a classical problem in image processing. In this paper, an efficient algorithm of image denoising based on multi-objective optimization in discrete wavelet transform (DWT) domain is proposed, which can achieve the Pareto optimal wavelet thresholds. First, the multiple objectives for image denoising are presented, then the relation between t...

Precipitation forecasting due to its random nature in space and time always faced with many problems and this uncertainty reduces the validity of the forecasting model. Nowadays nonlinear networks as intelligent systems to predict such complex phenomena are widely used. One of the methods that have been considered in recent years in the fields of hydrology is use of wavelet transform as a moder...

—A major challenge of using AMI data in power system analysis is the large size of the data sets. For rapid analysis that addresses historical behavior of systems consisting of a few hundred feeders, all of the AMI load data can be loaded into memory and used in a power flow analysis. However, if a system contains thousands of feeders then the handling of the AMI data in the analysis becomes mo...

We build wavelet-based adaptive numerical methods for the simulation of advection dominated flows that develop multiple spatial scales, with an emphasis on fluid mechanics problems. Wavelet based adaptivity is inherently sequential and in this work we demonstrate that these numerical methods can be implemented in software that is capable of harnessing the capabilities of multi-core architecture...

This paper presents a robust watermarking scheme based on multi-band wavelet and principle component analysis (PCA) technique. Incorporating the PCA technique, the developed blind watermarking in multi-band wavelet domain can successfully resist common signal processing such as JPEG compression with quality factor as low as 15, and geometric distortion such as cropping (cropped by 50%). Differe...

We propose an integrated wavelet-based framework for active contour model(snake), which is used for motion tracking of deformable objects in a sequence of images. The input image frame is decomposed into multi-resolution representation using wavelet transform. First, the wavelet transform coefficients are used in a multi-resolution motion estimation process to find the initial contour in the fr...

Discrete cosine transform (DCT) and wavelet transform coding system are the most popular image compression methods. Although DCT has outstanding energy compaction properties, blocking artifacts impact its performance. Wavelet avoids blocking artifacts; it is also the most popular approach to doing image compression and denoising simultaneously. However wavelet has higher computational complexit...

The orthogonal frequency division multiplexing is used in wireless communication due to high data rate. OFDM are robustness against multi-path fading, frequency selective fading, and narrow band interference. Wavelet analysis has strong advantages over fourier transform and also allows time-frequency domain operation with flexibility. Wavelet is applied in various fields of wireless communicati...

Wavelet Transforms can be used for multi-resolution image fusion at pixel level, as they work both in spatial and spectral domains and result in the preservation of spatial of spectral details of input images. Different wavelet transform algorithms have been developed and applied to a variety of applications such as noise suppression, filtering, image restoration, image compression, and astrono...