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
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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
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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
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Xiaoyuan Yang, Jie Min, Yan Shi,
Parametrisation construction frame of lifting scheme, IET singal processing
(SCI 源刊)VOL 5(1), pp1-15,2011
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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
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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
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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
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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
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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
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Xiaoyuan Yang, etc, Lifting Construction
Based on Bernstein Bases and Application inImage Compression, IET Image
Processing, 2010, VOL.4, ISS.5,pp385-402
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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