Stanley Osher
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Stanley Joel Osher  

Osher in 1968


Born 
Brooklyn, New York, United States 
April 24, 1942
Nationality  American 
Known for 
Level set method Shock capturing methods image processing L^{1}/TV methods Bregman method 
Scientific career  
Fields  Applied Mathematics 
Institutions  UCLA, SUNY, Stony Brook, UC Berkeley 
Doctoral advisor  Jacob Schwartz 
Doctoral students 
Moysey Brio HongKai Zhao 
Stanley Osher (born April 24, 1942) is an American mathematician, known for his many contributions in shock capturing, level set methods, and PDEbased methods in computer vision and image processing. Osher is a professor at the University of California, Los Angeles (UCLA), Director of Special Projects in the Institute for Pure and Applied Mathematics (IPAM) and member of the California NanoSystems Institute (CNSI) at UCLA. He has a daughter, Kathryn, and a son, Joel.
Contents
Education
 B.S., Brooklyn College, 1962
 M.S., New York University, 1964
 Ph.D., New York University, 1966
Research interests
 Level set methods for computing moving fronts
 Approximation methods for hyperbolic conservation laws and HamiltonJacobi equations
 Total variation(TV) and other PDEbased image processing techniques
 Scientific computing
 Applied partial differential equations
 L^{1}/TV based convex optimization
Osher is listed as an ISI highly cited researcher.^{[1]}
Research contributions
Osher was the inventor (or coinventor) and developer of many highly successful numerical methods for computational physics, image processing and other fields, including:
 High resolution numerical schemes to compute flows having shocks and steep gradients, including ENO (essentially nonoscillatory) schemes (with Harten, Chakravarthy, Engquist, Shu), WENO (weighted ENO) schemes (with Liu and Chan), the Osher scheme, the EngquistOsher scheme, and the HamiltonJacobi versions of these methods. These methods have been widely used in computational fluid dynamics (CFD) and related fields.
 Total variation (TV) based image restoration (with Rudin and Fatemi) and shock ﬁlters (with Rudin). These are pioneering  and widely used  methods for PDE based image processing and have also been used for inverse problems.
 Level set method (with Sethian) for capturing moving interfaces, which has been phenomenally successful as a key tool in PDE based image processing and computer vision, as well as applications in differential geometry, image segmentation, inverse problems, optimal design, Twophase flow, crystal growth, deposition and etching.
 Bregman iteration and augmented Lagrangian type methods for L^{1} and L^{1}related optimization problems which are fundamental to the ﬁelds of compressed sensing, matrix completion, robust principal component analysis, etc.
 Overcoming the Curse of Dimensionality for HamiltonJacobi Equations arising in control theory and differential games.
Osher has founded (or cofounded) three successful companies:
 Cognitech (with Rudin)
 Level Set Systems
 Luminescent Technologies (with Yablonovitch)
Osher has been a thesis advisor for at least 53 PhD students, with 188 descendants, as well as postdoctoral adviser and collaborator for many applied mathematicians. His Ph.D. students have been evenly distributed among academia and industry and labs, most of them are involved in applying mathematical and computational tools to industrial or scientiﬁc application areas.
Honors
 William Benter Prize in Applied Mathematics, 2016.^{[2]}
 Carl Friedrich Gauss Prize, 2014.
 John von Neumann Lecture prize from SIAM, 2013.^{[3]}
 Fellow of the American Mathematical Society, 2013.^{[4]}
 Plenary speaker, International Congress of Mathematicians, 2010^{[5]}
 American Academy of Arts and Sciences, 2009
 Fellow, Society for Industrial and Applied Mathematics (SIAM), 2009 ^{[6]}
 Honorary Doctoral Degree, Hong Kong Baptist University, 2009
 International Cooperation Award, International Congress of Chinese Mathematicians, 2007
 Computational and Applied Sciences Award, United States Association for Computational Mechanics, 2007
 Docteur Honoris Causa, ENS Cachan, France 2006
 National Academy of Sciences (NAS), 2005
 SIAM Kleinman Prize, 2005 ^{[7]}
 ICIAM Pioneer Prize, 2003 ^{[8]}
 Computational Mechanics Award, Japan Society of Mechanical Engineering, 2002
 NASA Public Service Group Achievement Award, 1992
 USIsrael BSF Fellow, 1986
 SERC Fellowship (England), 1982
 Alfred P. Sloan Fellow, 1972–1974 ^{[9]}
 Fulbright Fellow, 1971 ^{[10]}
Books authored
 S. Osher and R. Fedkiw, "Level Set Methods and Dynamic Implicit Surfaces", SpringerVerlag, New York (2002).
 S. Osher and N. Paragios, "Geometric Level Set Methods in Imaging, Vision and Graphics", SpringerVerlag, New York (2003).
 R. Glowinski,S. Osher and W. Yin,v"Splitting Methods in Communication, Imaging, Science and Engineering", SpringerVerlag, New York (2017)
See also
 James A. Sethian, codeveloper of level set methods.
References
 ^ Thomson ISI, Osher, Stanley, ISI Highly Cited Researchers, retrieved 20090620
 ^ [1]
 ^ [2]
 ^ List of Fellows of the American Mathematical Society, retrieved 20130320.
 ^ "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians.
 ^ [3]
 ^ [4]
 ^ "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians.
 ^ [5]
 ^ [6]
External links
 Osher's home page at UCLA
 Stanley Osher at the Mathematics Genealogy Project
 20thcentury American mathematicians
 21stcentury American mathematicians
 Computational fluid dynamicists
 Jewish American scientists
 1942 births
 Living people
 University of California, Los Angeles faculty
 Numerical analysts
 Courant Institute of Mathematical Sciences alumni
 ISI highly cited researchers
 Fellows of the Society for Industrial and Applied Mathematics
 Fellows of the American Academy of Arts and Sciences
 Fellows of the American Mathematical Society
 Members of the United States National Academy of Sciences
 Scientific computing researchers