
Associate Professor at San Diego State University
Greater San Diego Area

Associate Professor at San Diego State University
Greater San Diego Area
Mission: "To in every interaction add value and increase entropy."
Motto: "There is no box."
Peter's broad research areas include image reconstruction, processing, segmentation and analysis; particularly with applications to biomedical imaging. Other areas of active research include computational wave propagation and pattern formation in computational combustion.
PEER-REVIEWED PUBLICATIONS:
Noise-Induced Intermittency in Cellular Pattern-Forming Systems.
Scott Gasner [SG], PB, and Antonio Palacios [AP]. [http://dx.doi.org/10.1142/S0218127407018749]
Bifurcation Analysis of Bubble Dynamics in Fluidized Beds. PB, AP, Bing Zhu, Stuart Daw, Charles Finney, John Halow, and Sreekanth Pannala. [http://dx.doi.org/10.1063/1.2712309]
Bifurcation Analysis of Hopping Behavior in Cellular Pattern-Forming Systems Systems. AP, PB, and SG. [http://dx.doi.org/10.1142/S0218127407017380]
Noise-Induced Intermittent Cellular Patterns on Circular Domains. PB, SG, and AP. [http://dx.doi.org/10.1103/PhysRevE.74.045202]
Stable 2nd-order scheme for integrating the Kuramoto-Sivanshinsky equation in polar coordinates using distributed approximating functionals. PB, SG, and AP. [http://dx.doi.org/10.1103/PhysRevE.72.036701]
Hopping Behavior in the Kuramoto-Sivashinsky Equation. PB, SG, and AP. [http://dx.doi.org/10.1063/1.1848311]
Modular Solvers for Constrained Image Restoration Problems Using the Discrepancy Principle. PB, and Tony F. Chan. [http://dx.doi.org/10.1002/nla.278]
Super-Resolution in Time-Reversal Acoustics. PB, George Papanicolaou, and Hongkai Zhao. [http://dx.doi.org/10.1121/1.1421342]
Variational PDE Models and Methods for Image Processing. PB, Tony F. Chan, Pep Mulet, Luminita Vese, and Wing-Lok Wan. [http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=C0201&parent_id=&pc=]
Color TV: Total Variation Methods for Restoration of Vector Valued Images. PB and Tony F. Chan. [http://dx.doi.org/10.1109/83.661180]
Areas of expertise:
Numerical Linear Algebra, Numerical Optimization, Numerical Solution of Ordinary and Partial Differential Equations, Numerical Analysis.
Programming languages and tools:
C, C++, MPI, Matlab, RCS, RPM, awk, sed, procmail, LaTeX
Web development:
HTML, CSS, PHP
Operating systems:
Linux -- Fedora ("the Ultimate Service Pack")
(Educational Institution; 1001-5000 employees; Higher Education industry)
August 2002 — Present (7 years 4 months)
Research:
Image processing, primarily with applications to biomedical imaging;
Pattern formation, and bifurcations in combustion;
Computational wave propagation.
Supervision and advising of M.S. students in Applied Mathematics, and Computational Sciences; and Ph.D. students in Computational Sciences.
Teaching:
Discrete Mathematics (Math 245),
Introduction to Numerical Analysis and Computation (Math 541),
Numerical Solutions to Ordinary Differential Equations (Math 542),
Numerical Matrix Analysis (Math 543),
Advanced Numerical Analysis: Unconstrained Numerical Optimization (Math 693A),
Advanced Numerical Analysis: Numerical Solutions to Partial Differential Equations (Math 693B).
(Educational Institution; 10,001 or more employees; Higher Education industry)
August 1998 — August 2002 (4 years 1 month)
Research on computational wave propagation, in particular "Super-Resolution in Time-Reversal Acoustics."
(Educational Institution; 10,001 or more employees; Research industry)
January 1997 — June 1998 (1 year 6 months)
Research on image processing using partial differential equations, in particular total-variation based approaches for vector valued images.
(Educational Institution; 10,001 or more employees; Research industry)
August 1994 — December 1996 (2 years 5 months)
Sections for: "Introduction to Fortran 77" (PIC 3), "Introduction to Programming in C++" (PIC 10A), "Intermediate Programming in C++" (PIC 10B), "Advanced Programming in C++" (PIC 10C), "Data Structures and Algorithms" (PIC 60), and "Calculus for Life Science Students" (Math 3A and 3B).
Postdoc , Computational Wavepropagation; Time Reversal; Underwater Acoustics , 1998 — 2002
PhD , Applied and Computational Mathematics , 1994 — 1998
Thesis: "Total Variation Methods for Restoration of Vector Valued Images."
M.S. , Engineering Physics , 1989 — 1994
Thesis: "A Renormalization Technique for Families with Flat Maxima."
Mathematics 1992 — 1993
1986 — 1989
Image Processing with Biomedical applications, Computational Wavepropagation with applications to Underwater Acoustics and Wireless Communications, Computational Combustion