Stanley Osher
members of the US National Academy of Science;
Professor of Department of Mathematics,
University of California Berkeley

Academic History
1977 – Present Professor, Department of Mathematics, UCLA
1975 – 1977 Professor, Department of Mathematics, SUNY, Stony Brook
1970 – 1975 Associate Professor, Department of Mathematics, SUNY, Stony Brook
1968 – 1970 Assistant Professor, Department of Mathematics, University of California Berkeley
1966 – 1968 Assistant-Associate Mathematician, Brookhaven National Laboratories
1966 New York University, Ph.D., (J.T. Schwartz, thesis advisor)
1964 New York University, M.S.
1962 Brooklyn College, B.S.

Research Interests:
Scientific Computing, Numerical Analysis, Applied Partial Differential Equations

Honors:
Fulbright Fellow, 1971
Alfred P. Sloan Fellow, 1972-1974
SERC Fellowship (England), 1982
US-Israel BSF Fellow, 1986
NASA Public Service Group Achievement Award, 1992
Invited speaker, International Congress of Mathematicians, Zurich, 1994
ICI Original Highly Cited Researcher, 2002
Japan Society of Mechanical Engineers Computational Mechanics Award, 2003
ICIAM Pioneer Prize, 2003
Elected to US National Academy of Science, 2005
SIAM Ralph E. Kleinman Prize, 2005

Synergistic Activities
Dr. Osher is the coinventor and a principle developer of widely used:
i) state-of-the-art high resolution schemes for approximating hyperbolic conservation laws and Hamilton-Jacobi equations;
ii) level set methods for computing moving fronts involving topological changes; applications and extensions include a variational version, multiphase flow, crystal growth, computer vision and graphics;
iii) total variation and other partial differential equations based image processing techniques.

真假世界里的数学

　　以数据为中心的计算的一个很好的例子是一个处理图像科学和自然界里的的自由边界问题的新方法。它以1987年Osher和Sethian提出的能跟踪移动边界的水平集方法为例。它已经被很清楚地证明是一个成功的计算方法。比如，在MSN的搜索引擎里键入“Level Set Methods”就会得到大约70万条回馈。它的应用包括：跟踪多相动态流、好莱坞的视觉特技、图像处理、控制、晶体生长、计算机视觉和其他。在这个报告里，我将给一个数值计算的简要介绍，它与基于偏微分方程的图像科学的关系，和它的应用。真实世界将以图像分析为例，虚假世界将以计算机图形学为例。