کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1139039 | 1489403 | 2015 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Biorthogonal balanced multiwavelets with high armlets order and their application in image denoising Biorthogonal balanced multiwavelets with high armlets order and their application in image denoising](/preview/png/1139039.png)
Multiple approaches can be used to meet the nnth order wavelet analysis consistency requirement between balanced multiwavelets and armlets. Due to the complexity of the nn-balancing conditions, it is difficult to construct a family of nn-balanced orthogonal multiwavelets for a relatively large nn. In this paper, we introduce a convenient way to construct symmetric/antisymmetric biorthogonal multiwavelets provided that both the balanced order n≥2n≥2 and the high armlets order conditions are met. First, we introduce the concept of biorthogonal armlets and illustrate a relationship among the four filter banks of a biorthogonal system. Then we present an algorithm for constructing biorthogonal balanced multiwavelets with armlets order (BBMA) and compute a novel class of such multiwavelets. Finally, we investigate the performances of BBMA and existing wavelets on the application of image denoising. Simulation results show that BBMA typically result in improved denoising.
Journal: Mathematics and Computers in Simulation - Volume 111, May 2015, Pages 48–62