Topological Data Analysis and Wide Area Detection of Chemical and Biological Contamination

Award Information
Agency:
Department of Defense
Branch
Army
Amount:
$99,985.00
Award Year:
2010
Program:
STTR
Phase:
Phase I
Contract:
W911SR-10-P-0029
Award Id:
94906
Agency Tracking Number:
A10A-020-0278
Solicitation Year:
n/a
Solicitation Topic Code:
ARMY 10T020
Solicitation Number:
n/a
Small Business Information
1142A Old York Road, Ringoes, NJ, 08551
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
132562765
Principal Investigator:
DanielKling
Owner
(908) 237-1955
dkling@foldedstructures.com
Business Contact:
RobertTorbin
Director of Business Development
(617) 347-9065
btorbin@foldedstructures.com
Research Institute:
University of Minnesota
Ren Guo
206 Church Street SE
Minneapolis, MN, 55455
(612) 625-1119

Abstract
Topological data analysis is a new mathematical method used to study these massive data sets that arise in a variety of situations including military operations and national security. The use of passive infrared sensors for a wide area detection system involving chemical and biological contaminants produces massive amounts of hyperspectral image data. Recent research in this area include fast algorithms for computing homology dimension, the extension of homology from sets to distributions and functions, and a smart convolution filter that interprets local topological features that span between user defined geometric boundaries. Together these innovations give a new morphology grammar implemented through the geometry of the filter, its density distribution values, and iteration with other statistical procedures that extracts and manipulates the desired information in the most effective and efficient manner possible. If successfully demonstrated, the use of homology could change the very nature of data analyses for a multitude of national security and military situations where the current statistical methods are not capable of detecting qualitative structures.

* information listed above is at the time of submission.

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