A fast spherical filter with uniform resolution
Journal of Computational Physics
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Generalized discrete spherical harmonic transforms
Journal of Computational Physics
Computing in Science and Engineering
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
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In order to enhance the speed of wavelet transform in signal processing, in this paper an accelerative computing theory is elaborated for generalized wavelet transform and the fast lifted wavelet transform from the perspective of the multi-resolution analysis theory The capability of accelerative algorithm is proved in theory Then the accelerative computing procedure for a series of bi-orthogonal Haar wavelet is demonstrated Appling this idea to multi-resolution representation for medical image, the quality of image is retained and the running time is saved effectively.