A novel unitary directional wavelet methodology producing six complex-valued subbands per level of decomposition has been previously introduced [1,2] as a method of spatio-frequency decomposition for image fusion applications. Properties of the decomposition include unitarity, sparse computation, energy-packing efficiency, symmetry, and sub-pixel registration of all subbands at the same scale. ...

In this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. Then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. In particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over Noetherian rings are proved. More...

In this paper a novel algorithm based on Discrete Wavelet Transform (DWT) approach has been applied to synthesize the sounds produced by a few traditional Indian musical instruments, viz. flute, shehnai and sitar. In this algorithm, the level of decomposition of wavelets is varied till the error norm between the original signal and that generated through DWT is below a desired level. It is obse...

SUMMARY An innovative approach for parallel discretization of 3D domains is presented. The paralleliza-tion strategy is based on domain decomposition concept. Two levels of domain decomposition are considered | the model level and model entity parametric tree level. The decomposition on the model level splits the model into domains on the model entity basis. Since the decomposition may become u...