| Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes | |
| Wang, Huawei ; Tang, Kai ; Qin, Kaihuai | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | Biorthogonal wavelet root 2 subdivision Lifting scheme Subdivision-based wavelet COMPACTLY SUPPORTED WAVELETS IRREGULAR SURFACE MESHES B-SPLINE SURFACES MULTIRESOLUTION ANALYSIS ROOT-2 SUBDIVISION SCHEME REPRESENTATION DECOMPOSITION CONSTRUCTION COMPRESSION Computer Science, Software Engineering Mathematics, Applied |
| 中文摘要 | This paper introduces a new biorthogonal wavelet based on a variant of root 2 subdivision by using the lifting scheme, The greatest advantage of this wavelet is its very slow gradual refinement for quadrilateral meshes, which offers the biggest number of resolution levels to control a quadrilateral mesh. Moreover, the resulting wavelet transforms have a linear computational complexity, as they are composed of local and in-place lifting operations only. Feature lines can also be effectively integrated into the wavelet transforms as self-governed boundary curves. The introduced wavelet analysis can be used in a variety of applications such as progressive transmission, data compression, shape approximation and multi resolution rendering. The experiments have shown sufficient stability as well as better performance of the introduced wavelet analysis, as compared to the existing wavelet analyses for quadrilateral meshes of arbitrary topology. (C) 2007 Elsevier B.V. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/9720]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Wang, Huawei,Tang, Kai,Qin, Kaihuai. Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes[J],2010, 2010. |
| APA | Wang, Huawei,Tang, Kai,&Qin, Kaihuai.(2010).Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes.. |
| MLA | Wang, Huawei,et al."Biorthogonal wavelets based on gradual subdivision of quadrilateral meshes".(2010). |
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