Multiwavelets are briefly reviewed and preprocessing and postprocessing for such wavelets are introduced. Least squares curve fitting of irregularly sampled data is achieved by means of unshifted and shifted multiscaling functions. This preprocessing procedure combined with multiwavelet neural networks for data-adaptive curve fitting is shown to perform well in the case of high resolution. In t...

-Edge detection has fundamental importance in image analysis. Classical edge detectors work only for specific image size and fail to operate on images with strong noise. Multiwavelets can achieve and maintain detail information of image well even in noisy environment. The steps involved in canny edge detector are performed in transformed domain (using DMWT) for synthetic image. Finally the perf...

To construct a very smooth nonseparable multiscaling function, we impose polynomial approximation order 2 and add new conditions on the polyphase highpass filters. We work with a dilation matrix generating quincunx lattices, and fix the index set. Other imposed conditions are orthogonal filter bank and balancing. We construct a smooth, compactly supported multiscaling function and multiwavelet,...

We describe the mathematical representations, data structure and the implementation of the numerical calculus of functions in the software environment multiresolution analysis environment for scientific simulations, MADNESS. In MADNESS, each smooth function is represented using an adaptive pseudo-spectral expansion using the multiwavelet basis to a arbitrary but finite precision. This is an ext...

A novel approach for constructing symmetric compactly supported biorthogonal multiwavelets with short sequences is proposed in this paper. For some symmetric types of biorthogonal multiwavelet systems, starting from the symmetric properties of scaling and wavelet functions, parameterized symmetric forms of polyphase matrices can be derived. Furthermore, according to the matrix equations of the ...

Internet paths sharing the same congested link can be identified using several shared congestion detection techniques. The new technique which is proposed in this paper depends on previous novel (delay correlation with wavelet denoising (DCW) method called Discrete Multiwavelet Transform (DMWT) as signal to separate between queuing delay caused by network and various other variations. provides ...