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Stanley Joel Osher
Stanley Joel Osher
	Osher in 1968
Born	April 24, 1942 (age 82); Brooklyn, New York, U.S.
Known for	Level-set method; Shock-capturing methods; image processing; L1/TV methods; Bregman method;
	Scientific career
Fields	Applied mathematics
Institutions	UCLA; SUNY, Stony Brook; UC Berkeley;
Doctoral advisor	Jacob Schwartz
Doctoral students	Rosa Donat; Ron Fedkiw; Chiu-Yen Kao; Chi-Wang Shu;

Stanley Osher (born April 24, 1942) is an American mathematician, known for his many contributions in shock capturing, level-set methods, and PDE-based 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.

Education

BS, Brooklyn College, 1962
MS, New York University, 1964
PhD, New York University, 1966

Research interests

Level-set methods for computing moving fronts
Approximation methods for hyperbolic conservation laws and Hamilton–Jacobi equations
Total variation (TV) and other PDE-based image processing techniques
Scientific computing
Applied partial differential equations
L¹/TV-based convex optimization

Osher is listed as an ISI highly cited researcher.^[1]

Research contributions

Osher was the inventor (or co-inventor) 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 non-oscillatory) schemes (with Harten, Chakravarthy, Engquist, Shu), WENO (weighted ENO) schemes (with Liu and Chan), the Osher scheme, the Engquist-Osher scheme, and the Hamilton–Jacobi 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, Two-phase flow, crystal growth, deposition and etching.
Bregman iteration and augmented Lagrangian type methods for L¹ and L¹-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 Hamilton–Jacobi equations arising in control theory and differential games.

Osher has founded (or co-founded) 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 PhD 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

National Academy of Engineering (NAE), 2018
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^[5]
Computational Mechanics Award, Japan Society of Mechanical Engineering, 2002
NASA Public Service Group Achievement Award, 1992
US-Israel BSF Fellow, 1986
SERC Fellowship (England), 1982
Alfred P. Sloan Fellow, 1972–1974^[8]
Fulbright Fellow, 1971^[9]

Books authored

Osher, Stanley (2003). Level set methods and dynamic implicit surfaces. New York: Springer. ISBN 978-0-387-22746-7. OCLC 53224633.
Osher, Stanley (2003). Geometric level set methods in imaging, vision, and graphics. New York: Springer. ISBN 978-0-387-21810-6. OCLC 56066930.
Glowinski, R (2016). Splitting methods in communication, imaging, science, and engineering. Cham, Switzerland: Springer. ISBN 978-3-319-41589-5. OCLC 967938355.