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Title:
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BUTTERFLY-ORTHOGONAL LOOP SUBDIVISION
WAVELETS |
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Author(s):
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Huawei Wang, Guiming Qin, Li Xiao and Yi Cao |
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ISBN:
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978-989-8533-91-3 |
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Editors:
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Katherine Blashki and Yingcai Xiao |
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Year:
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2019 |
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Edition:
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Single |
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Keywords:
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Wavelet Analysis, Butterfly-Orthogonalization, Loop Subdivision Wavelet, Lifting Scheme |
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Type:
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Full Paper |
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First Page:
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283 |
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Last Page:
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290 |
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Language:
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English |
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Cover:
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Full Contents:
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click to dowload 
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Paper Abstract:
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In this paper, we have proposed a new butterfly-orthogonal Loop subdivision wavelet based on the lifting scheme. We use
a butterfly-style local orthogonalization structure to optimize the free parameters introduced in the wavelet transforms so
as to obtain a very stable and nearly semi-orthogonal wavelet. Although it takes a little more computation time than the
existing Loop subdivision wavelets, the proposed wavelet possesses a better fitting quality as well as performance of
denoising, as demonstrated in the experiments. Similar to the other Loop subdivision wavelets, the butterfly-orthogonal
wavelet has a linear computing complexity, because all lifting operations in the wavelet transforms are of perfect in-place
computing and relate to only local vertex points or edge points. The proposed wavelet analysis can be used in a wide range
of applications, including progressive transmission, shape approximation, data compression and multiresolution rendering. |
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