The Level Set Method, Moving Interface and Free Boundary, Image Processing and Computer Graphics, Time Reversal and Wave Propagation, Domain Decomposition
Alfred Sloan Research Fellowship (2002).
Outstanding Contributions to Undergraduate Education Award, UC Irvine (2002).
UC Irvine Faculty Career Development Award (2000).
2003-present: Associate Professor, Department of Mathematics, University of California, Irvine.
1999-2003: Assistant Professor, Department of Mathematics, University of California, Irvine.
1996-1998: Gabor Szego Assistant Professor, Department of Mathematics, Stanford University.
Applied mathematics and scientific computing with applications to sciences and engineering.
US Patent (7,031,538) "Method and apparatus for feature based quantization and compression of data", L.T. Cheng, B. Merriman, S. Osher, H. Zhao, and H. Zhou.
US Patent (7,027,658) "Geometrically accurate compression and decompression", S. Osher and H. Zhao.
(with P. Blomgen and G. Papanicolaou) "Super-resolution in time reversal acoustics". Journal of the Acoustical Society of America, Vol.111 (2002), pp 230-248.
(with J. K. Hunter and Z. Li) "Reactive autophobic spreading of drops". To appear in J. Comp. Phys.
(with S. Osher and R. Fedkiw) "Fast surface reconstruction and deformation using the level set method". Proceedings of IEEE Workshop on Variational and Level Set Methods in Computer Vision (VLSM), July 2001, Vancouver.
(with B. Merriman, S. Osher, and M. Kang)"Implicit and non-parametric shape reconstruction from unorganized points using variational level set method". Computer Vision and Image Understanding, Vol.80 (2000), pp 295-319.
(with Z. Li and H. Gao) "A numerical study of surface diffusion generated electro-migration voiding problem". J. Comp. Phys. Vol.152 (1999), pp 281-304.
(with B. Merriman, S. Osher and L. Wang) "Capturing the behavior of bubbles and drops using the variational level set approach". J. Comp. Phys. Vol.143 (1998), pp 495-518.
(with D. Peng, B. Merriman, S. Osher and M. Kang) "A PDE based fast local level set method". J. Comp. Phys. Vol.155 91999), pp 410-438.
(with B. Engquist) "Absorbing boundary conditions for domain decomposition", Applied Numerical Mathematics, Vol.27 (1998), pp 341-365.
(with T. Y. Hou, Z. Li and S. Osher) "A hybrid method for moving interface problems with application to the Hele-Shaw Flow". J. Comp. Phys. Vol.134 (1997), pp 236-252.
(with T. F. Chan, B. Merriman, and S. Osher) "A Variational Level Set Approach to Multiphase Motion". J. Comp. Phys. Vol. 127 (1996), pp 179-195.
Sloan Foundation, National Science Foundation NSF), The Office of Naval Research (ONR), The Defense Advanced Research Projects Agency (DARPA),
MURI (Army Research Office)
Society for Applied and Industrial Mathematics (SIAM)
American Mathematical Society (AMS)