基本情况

杨小远，北京航空航天大学数学与系统科学学院教授、博士生导师。

教育背景

2002.9-2007.12，工学博士，北京航空航天大学计算机应用专业

1985.9-1988.3，理学硕士，中科院沈阳计算所计算数学专业

1981.9-1985.9，理学学士，辽宁大学数学系计算数学专业

研究领域

计算数学：随机微分方程的差分和有限元方法的理论与计算

应用调和分析：小波变换、框架变换、各向异性方向提升变换理论研究

图像处理：图像压缩、融合、图像分析与理解

高分辨率对地观测系统中的高精度实时运动成像基础问题研究：高分辨率合成孔径雷达、多模式激光雷达、高光谱成像退化机理与实时补偿理论模型与算法研究

论文发表

先后在国际权威期刊《IEEE Transactions on Image Processing》、《SIAM Journal on Numerical Analysis》等和国内核心期刊发表(含录用)60余篇论文，代表性论文如下：

1. Reisheng Qi, Xiaoyuan Yang, A Nonoconforming Rectangular Finite Element Pair for the Darcy-Stokes-Brinkman Model, Numerical Methods for Partial Differential Equations（SCI）
2. Xiaoyuan Yang, Reisheng Qi, A Posteriori Analysis of Finite Element Discretizations of Stochastic Partial Differential Delay Equation, Journal of Difference Equations and Applications（SCI）
3. Xiaoyuan Yang, Shi Yan, The Lifting Factorization of Wavelet Bi-frames with Arbitrary Generator,Mathematics and Computers in simulation(SCI）
4. Yan Shi, Xiaoyuan Yang, The Lifting Factorization and Construction of Wavelet Bi-frames with Arbitrary Generators and Scaling, IEEE Transactions on image processing, Vol.20, No.9, PP2439-2440, 2011（SCI）
5. Xiaoyuan Yang, Yan Shi, Construction of Parameterizations of Masks for Tight Wavelet Frames with Two Symmetric/Antisymmetric Generators and Application in Image Compression and Denosing, Journal of Computational and Applied Mathematics , Vol.235, No.8, pp2112-2136, 2011（SCI）
6. Xiaoyuan Yang, Jie Min, Yan Shi, Parametrization Construction Frame of Lifting Scheme, IET singal processing, Vol.5, No.1, pp1-15, 2011（SCI）Xiaoyuan Yang, Yan Shi, A General Framework of the Construction of Biorthogonal Wavelets Based on Bernstein Bases: Theory analysis and Application in Image Compression. IET Computer Vision, Vol.5, No.1, pp 50-67, 2011（SCI）
7. Xiaoyuan Yang, Yan Shi, The Lifting Scheme for Wavelet Bi-frames: Theory , Structure, and Algorithm, IEEE Transactions on image processing, Vol. 19, No. 3, pp.612-624, 2010（SCI）
8. Xiaoyuan Yang, Yuanyuan Duan, A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier- Stokes Equations, SIAM Journal on Numerical Analysis, Vol.48, No.4, pp 1579-1600, 2010（SCI）
9. Xiaoyuan Yang, Xvdong Zhang, The Regularity Analysis Multivariate Refinable Functions from Generalized Bernstein Bases and Applicationin Romote Sensing Image Compression, International Journal of Computer Mathematics , Vol.87, No.1, 12-37, 2010（SCI）
10. Xiaoyuan Yang, etc, Lifting Construction Based on Bernstein Bases and Application in Image Compression, IET Image Processing, Vol.4, No.5, pp 385-402, 2010(SCI)
11. Xiaoyuan Yang, Wei Wang, Yuanyuan Duan, The Approximation of a Crank –NicolsonScheme for the Stochastic Navier-Stokes Equations, Journal of Computational and Applied Mathematics Vol.225, No.1, pp31-43, 2009 (SCI)
12. Xiaoyuan Yang, Hui Ren, Embedded Zero tree Wavelets Coding Based onAdaptive Fuzzy Clustering for Image Compression, Image and Vision Computing, Vol.26, No.6, pp 812-819, 2008(SCI)
13. Xiaoyuan Yang, Xvdong Zhang , Frame-based Image Denoising Using Hidden MarkovModel, International Journal of  Wavelets, Multiresolution and Information Processing, Vol.6, No.3, pp419-432, 2008(SCI)
14. Rui Yang, Xiaoyaun Yang, Fractal Image Compression Algorithms Based on Possibility theory, Fractals-Complex Geometry Patterns and Scaling in Nature and Society, Vol.15, No.2, pp183-195, 2007(SCI)