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。
研究领域
计算数学:随机微分方程的有限元与有限体理论与计算
应用调和分析:小波变换理论,框架变换,各向异性多尺度变换
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、高分辨率可见光相机成像退化机理与实时补偿理论模型与算法研究
教育背景
2007年博士,北京航空航天大学获得计算机应用
1989年硕士,中科院沈阳计算所取得计算数学
1985年学士,辽宁大学数学系计算数学
论文发表
- Xiaoyuan Yang, Shi Yan, The Lifting Factorization of Wavelet Bi-frames with Arbitrary Generator, Submitted to Mathematics and Computers in simulation (SCI源刊).接受
- Yan Shi ,Xiaoyuan Yang ,The Lifting Factorization of Wavelet Bi-frames with Arbitrary Generators and Scaling, IEEE Transactions on image processing(SCI源刊),接受
- Xiaoyuan Yang, Jie Min, Yan Shi, Parametrisation construction frame of lifting scheme, IET singal processing (SCI源刊)VOL 5(1), pp1-15,2011
- Yuahua Guo, Xiaoyuan Yang(杨小远), Lp(p > 1) Convergence results for Particle Filtering Journal of Computational Analysis and Applications (SCI源刊) Vol. 13, No.7, 1309-1318, 2011
- Xiaoyuan Yang,etc, Construction of Parameterizations of Masks forTight Wavelet Frames with Two Symmetric/Antisymmetric Generators andApplication in the Image Compression and Denosing , Journal of Computational and Applied Mathematics (SCI源刊). 235(2011)pp2112-2136
- Xiaoyuan Yang,A General Framework of Construction of Bi-orthogonal Wavelets Based on Bernstein Bases: Theory analysis and Application in Image Compression. IET Computer Vision (SCI源刊). 2011.vol.5,Iss.1,pp50-67
- Xiaoyuan Yang, Yan Shi, The Lifting Scheme for Wavelet Bi-frames: Theory , Structure, andAlgorithm, IEEE Transactions on image processing(SCI源刊)VOL. 19, NO. 3, pp.612-624, 2010
- Xiaoyuan Yang, Yuanyuan Duan, A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier- Stokes Equations, SIAM Journal on Numerical Analysis(SCI源刊), Vol.48, No.4, pp 1579-1600,2010
- Xiaoyuan Yang, etc, Lifting Construction Based on Bernstein Bases and Application inImage Compression, IET Image Processing, 2010, VOL.4, ISS.5,pp385-402
- Yuanyuan Duan , Xiaoyuan Yang(杨小远),On the Convergence of Full Discretization Scheme for the Stochastic Navier-Stokes Equation, Journal of Computational Analysis and Applications (SCI源刊) Vol.13,No.3 (2011) pp 485-498