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使用超完备球面小波进行形状分析。

Shape analysis with overcomplete spherical wavelets.

作者信息

Yeo B T Thomas, Yu Peng, Grant P Ellen, Fischl Bruce, Golland Polina

机构信息

Computer Science and Artificial Intelligence Laboratory, MIT, USA.

出版信息

Med Image Comput Comput Assist Interv. 2008;11(Pt 1):468-76. doi: 10.1007/978-3-540-85988-8_56.

DOI:10.1007/978-3-540-85988-8_56
PMID:18979780
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2720681/
Abstract

In this paper, we explore the use of over-complete spherical wavelets in shape analysis of closed 2D surfaces. Previous work has demonstrated, theoretically and practically, the advantages of overcomplete over bi-orthogonal spherical wavelets. Here we present a detailed formulation of over-complete wavelets, as well as shape analysis experiments of cortical folding development using them. Our experiments verify in a quantitative fashion existing qualitative theories of neuroanatomical development. Furthermore, the experiments reveal novel insights into neuro-anatomical development not previously documented.

摘要

在本文中，我们探讨了过完备球面小波在封闭二维曲面形状分析中的应用。先前的工作已在理论和实践上证明了过完备小波相对于双正交球面小波的优势。在此，我们给出了过完备小波的详细公式，以及使用它们进行皮质折叠发育形状分析的实验。我们的实验以定量方式验证了现有的神经解剖发育定性理论。此外，这些实验还揭示了此前未记录的关于神经解剖发育的新见解。

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Shape analysis with overcomplete spherical wavelets.使用超完备球面小波进行形状分析。
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2
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本文引用的文献

1
Cortical Folding Development Study based on Over-Complete Spherical Wavelets.基于过完备球面小波的皮质折叠发育研究
Proc IEEE Int Conf Comput Vis. 2007 Oct;2007. doi: 10.1109/ICCV.2007.4409137.
2
On the construction of invertible filter banks on the 2-sphere.关于二维球面上可逆滤波器组的构造。
IEEE Trans Image Process. 2008 Mar;17(3):283-300. doi: 10.1109/TIP.2007.915550.
3
Model-based deformable surface finding for medical images.基于模型的医学图像可变形曲面发现。
IEEE Trans Med Imaging. 1996;15(5):720-31. doi: 10.1109/42.538949.
4
Cortical folding patterns and predicting cytoarchitecture.皮质折叠模式与细胞结构预测
Cereb Cortex. 2008 Aug;18(8):1973-80. doi: 10.1093/cercor/bhm225. Epub 2007 Dec 12.
5
Multiscale 3-D shape representation and segmentation using spherical wavelets.使用球面小波的多尺度三维形状表示与分割
IEEE Trans Med Imaging. 2007 Apr;26(4):598-618. doi: 10.1109/TMI.2007.893284.
6
Cortical surface shape analysis based on spherical wavelets.基于球面小波的皮质表面形状分析
IEEE Trans Med Imaging. 2007 Apr;26(4):582-97. doi: 10.1109/TMI.2007.892499.
7
Cortical surface-based analysis. II: Inflation, flattening, and a surface-based coordinate system.基于皮质表面的分析。II：膨胀、扁平化及基于表面的坐标系。
Neuroimage. 1999 Feb;9(2):195-207. doi: 10.1006/nimg.1998.0396.
8
Gyral development of the human brain.人类大脑的脑回发育
Ann Neurol. 1977 Jan;1(1):86-93. doi: 10.1002/ana.410010109.