Award Abstract # 0914856
Algorithms for Threat Detection (ATD): adaptive sensing and sensor fusion for real time chemical and biological threats

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: UNIVERSITY OF CALIFORNIA, LOS ANGELES
Initial Amendment Date: September 1, 2009
Latest Amendment Date: September 1, 2009
Award Number: 0914856
Award Instrument: Standard Grant
Program Manager: Leland Jameson
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: September 1, 2009
End Date: August 31, 2013 (Estimated)
Total Intended Award Amount: $450,023.00
Total Awarded Amount to Date: $450,023.00
Funds Obligated to Date: FY 2009 = $450,023.00
History of Investigator:
  • Andrea Bertozzi (Principal Investigator)
    bertozzi@math.ucla.edu
Recipient Sponsored Research Office: University of California-Los Angeles
10889 WILSHIRE BLVD STE 700
LOS ANGELES
CA  US  90024-4200
(310)794-0102
Sponsor Congressional District: 36
Primary Place of Performance: University of California-Los Angeles
10889 WILSHIRE BLVD STE 700
LOS ANGELES
CA  US  90024-4200
Primary Place of Performance
Congressional District:
36
Unique Entity Identifier (UEI): RN64EPNH8JC6
Parent UEI:
NSF Program(s): COFFES
Primary Program Source: 01000910DB NSF RESEARCH & RELATED ACTIVIT
01000910RB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 0000, 6877, 9178, 9251, 9263, OTHR
Program Element Code(s): 755200
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

The investigator plans a three year research program to develop algorithms for sensor systems for the detection of chemical and biological materials.
This work builds on prior research of the investigator and her colleagues involving autonomous mobile sensors for environmental sampling and algorithms for understanding hyperspectral imagery data. The research program involves the design of multiscale, multimodal sensing and detection algorithms, using data from both standoff detection and point detection from sensors mounted on mobile autonomous platforms. This data-intensive research depends on the modes of data available and their spatio-temporal resolution, viewpoints, and spectral resolution. The work includes the design and construction of a numerical simulator for the project, that incorporates various sensing modalities and on which algorithms are tested against against field data supplied by the government. In addition, mobile sensing algorithms are validated and tested at a laboratory multi-vehicle wireless testbed involving simpler sensors as a proxy for field sensor data. The research exploits recent algorithmic advances in image analysis and reconstruction from high dimensional data. These include, but are not limited to, compressive sensing methods, total variation minimization methods, hybrid wavelet-PDE algorithms for data fusion at different scales, hybrid geometric-stochastic algorithms for real time path planning and analysis, and nonlinear filtering.

The ability to detect and analyze biological and chemical threats in real time is essential to the future security of our country. Recent advances in sensor design now allow for rapid collection of information from multiple vantage points, involving multispectral sensing modalities. Where we are lacking is the ability to rapidly process and understand evolving information from diverse platforms to accurately identify and track the threat. This challenging problem requires new ideas for mathematical algorithm design to fuse the diverse data and provide accurate detection with both a low false alarm rate and detection delay. This research program develops new methods for high performance data processing and new fast algorithms for identification, in order to optimally utilize state-of-the-art and future sensor technology.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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A. Chen, T. Wittman, A. Tartakovsky, and A. Bertozzi "Efficient boundary tracking through sampling" AMRX , 2011 doi:10.1093/amrx/abr002
A. Chen, T. Wittman, A. Tartakovsky, and A. Bertozzi "Efficient boundary tracking through sampling" AMRX , 2011
Andrea L. Bertozzi and Arjuna Flenner "Diffuse interface models on graphs for classification of high dimensional data" Multiscale Modeling and Simulation , v.10 , 2012 , p.1090
Gao, WH; Bertozzi, A "Level Set Based Multispectral Segmentation with Corners" SIAM JOURNAL ON IMAGING SCIENCES , v.4 , 2011 , p.597 View record at Web of Science 10.1137/10079953
J. A. Dobrosotskaya and A. L. Bertozzi "Analysis of the Wavelet Ginzburg--Landau Energy in Image Applications with Edges" SIAM J Imaging Sci , v.6 , 2013 , p.698
Mario Micheli, Yifei Lou, Stefano Soatto, and Andrea L. Bertozzi "A linear systems approach to imaging through turbulence" JMIV , 2013
Smith, LM; Keegan, MS; Wittman, T; Mohler, GO; Bertozzi, AL "Improving Density Estimation by Incorporating Spatial Information" EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING , 2010 View record at Web of Science 10.1155/2010/26563
Smith, LM; Keegan, MS; Wittman, T; Mohler, GO; Bertozzi, AL. "Improving Density Estimation by Incorporating Spatial Information" EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING , v.2010 , 2010
W. H. Gao and A. L. Bertozzi "Level Set Based Multispectral Segmentation with Corners" SIAM J. Imag. Sci. , v.4 , 2011 , p.597
Yifei Lou, Sung Ha Kang, Stefano Soatto, and Andrea L. Bertozzi "Video stabilization of atmospheric turbulence distortion" Inverse Problems in Imaging , v.7 , 2013 , p.839

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