小波分析理论在球面上的拓展。主要通过三维球面的不同剖分形式找寻性质更好的小波函数，进而实现三维物体的新型表达，用于三维物体检索领域中。

国家自然科学基金--青年基金项目（11001017）：均匀剖分下的球面几何多尺度分析及其应用

[1] Cui Li, Peng Li-zhong, Biorthogonal Radial Multiresolution in Dimension Three, Journal of

Computational and Applied Mathematics, 2009, 224(2): 581-591.

[2] Cui Li, Li Ying, Li Hua, 3D Interval Wavelet Moments for 3D Objects, Jounal of Information&Computational Science, 2009, 6(4): 1799-1810.

[3] Xu Dong, Cui Li, Hu Ping, Cao Wei-guo, Li Hua, SHREC'08 entry: Invariant features for robust shape retrieval, Shape Modeling and Applicatin 2008, 231-232. 

[4] Cui Li, Li Ying, Xu Dong, Li Hua, Fractal Scale Descriptors Based on 3D Wavelet Moments for 3D Objects, International Conference on Wavelet Analysis and Pattern Recognition, 2007, 1197-1202.

[5] Cui Li, Li Hua, Zhou Yun-shi, N-D M-band Generalized Multiresolution Analysis and Its Applications,Journal of Northeast Mathematic, 2006, 4: 473-483.

入门学习小波分析的参考书

张国华等，《小波分析与应用基础》，西北工业大学出版社。

孙延奎，《小波分析及其应用》，机械工业出版社；

Daubechies. I，《小波十讲》（Ten Lectures on Wavelets ），英文版； 

程正兴等，《小波分析的理论算法进展和应用》，国防工业出版社

周伟主编，《Matlab小波分析高级技术》，西安电子工业大学出版社。