Special Topics in Wavelets and Algorithms

Jaideva C. Goswami, Andrew K. Chan · 2010

This chapter shows that computation only at binary scales may not be appropriate to separate all the frequency contents of a function. It discusses the fast integral wavelet transform (FIWT). Other wavelets and algorithms such as ridgelets, curvelets, complex wavelets, and lifting algorithm are briefly described. Computation of the integral ridgelet transform is very cumbersome and inefficient. The first-generation curvelet is based on the extension of ridgelet transform in the blocks of subband images of the original image. Implementing discrete complex wavelets is broadly classified into two approaches. The lifting scheme is an alternative approach to constructing wavelets and computing wavelet transform. Controlled Vocabulary Terms curvelet transforms; wavelet transforms

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