Research
Our clients come to us with their toughest problems. Numerica consistently innovates through advanced research to help our customers make sense of the possibilities, analyze alternatives and determine their best course of action.
We’re true academics at heart, and we happily embrace our inner nerd when we solve the unsolvable. In fact, Numerica excels so much in the area of basic and applied research that victory whoops can be heard up and down the halls during any given week. We encourage our staff to publish papers that grow out of their project work, and to collaborate closely with the scientific community to advance state-of-the-art technologies. As a result, we’re a trusted partner and industry resource when it comes to shaping the future of tracking, surveillance and data fusion.
Here’s a sample of our published papers, articles and book chapters:
A. C. Rice, Juan R. Vasquez, J. Kerekes, M. J. Mendenhall and C. F. Carlson, “Persistent Hyperspectral Adaptive Multi-modal Feature Aided Tracking,” 2009.,
B. D. Kragel, S. Danford and A. B. Poore, “Concurrent MAP Data Association and Absolute Bias Estimation with an Arbitrary Number of Sensors,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6969, Paper No. 6969-50, 2008.,
K. M. Tarplee, D. J. Trawick and S. M. Herman, “Distributed Multiple-hypothesis Correlation and Feedback with Applications to Video Data,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6969, Paper No. 6969-33, 2008.,
B. D. Kragel, S. M. Herman, and N. J. Roseveare, “Efficiency and Sensitivity of Methods for Assessing Ambiguity in Data Association Decisions,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6969, Paper No. 6969-26, 2008.,
J. Yosinski and R. C. Paffenroth, “A Distributed Database View of Network Tracking Systems,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6969, 2008.,
S. Chan and R. C. Paffenroth, “Out-of-sequence Measurement Updates for Multi-hypothesis Tracking Algorithms,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6969, 2008.,
R. C. Paffenroth, R. Novoselov, S. Danford, M. Teixeira, S. Chan and A. B. Poore, “Mitigation of Biases Using the Schmidt-Kalman Filter,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, 2007.,
S. Danford, B. D. Kragel, and A. B. Poore, “Joint MAP Bias Estimation and Data Association: Algorithms,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6699, Paper No. 6699-1E, 2007.,
S. Danford, B. D. Kragel, and A. B. Poore, “Joint MAP Bias Estimation and Data Association: Simulations,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6699, Paper No. 6699-15, 2007.,
N. Coult, V. Pilipenko and M. Engebretson, “Suppression of Resonant Field Line Oscillations by a Turbulent Background,” Planetary and Space Sci., 55 (2007), No. 6, pp. 694-700.,
B. J. Slocumb and A. B. Poore, “Complexity Reduction in MHT/MFA Tracking, Part II: Hierarchical Implementation and Simulation Results,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6236, 62360U, May 2006.,
B. J. Slocumb, D. L. Macumber, “Surveillance Radar Range-bearing Centroid Processing, Part II: Merged Measurements,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 6236, 623604, May 2006.,
N. Coult, “Explicit Formulas for Wavelet-homogenized Coefficients of Elliptic Operators,” Appl. Comput. Harmon. Anal., 21 (2006), No. 3, pp. 360-375.,
A. B. Poore, S. M. Gadaleta, B. J. Slocumb, “Multiple Hypothesis Correlation in Track-to-Track Fusion Management,” in Handbook on Modeling for Discrete Optimization (International Series in Operations Research & Management Science) , edited by Gautam Appa, Leonidas Pitsoulis, and H. P. Williams; Spring: New York, 2006.,
B. J. Slocumb, M. E. Klusman III, “Frame-building Algorithm for Electronically Scanned Array Radar,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5913, pp. 59130H, September 2005.,
B. J. Slocumb, M. E. Klusman III, “A Multiple Model SNR/RCS Likelihood Ratio Score for Radar-based Feature-aided Tracking,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5913, pp. 59131N, September 2005. ,
E. Chong and B. Brewington, “Distributed Communications Resource Management for Tracking and Surveillance Networks,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, August 2005.,
R. Novoselov, S. Herman, S. M. Gadeleta and A. B. Poore, “Mitigating the Effects of Residual Biases with Schmidt-Kalman Filtering,” 8th International Conference on Information Fusion, Philadelphia, PA, July 2005.,
S. M. Gadaleta, S. M. Herman, S. A. Miller, F. Obermeyer, B. J. Slocumb, A. B. Poore, M. Levedahl, B. Brewington “Short-term Ambiguity Assessment to Augment Tracking Data Association Information,” 8th International Conference on Information Fusion, Vol. 1, pp. 8, 25-28, Philadelphia, PA, July 2005.,
D. Macumber, S. M. Gadaleta, A. Floyd, and A. B. Poore. “Hierarchical Closely Spaced Object (CSO) Resolution for IR Sensor Surveillance.” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, San Diego, CA, 2005.,
R. Novoselov, S. M. Gadaleta, and A. B. Poore, “Network Centric MFA Tracking Architecture Based on Soft-level Data Association.” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, San Diego, CA, 2005.,
A. Floyd, S. M. Gadaleta, D. Macumber, and A. B. Poore, “Integration of IR Sensor Clutter Rejection Techniques with Pixel Cluster Frame Manipulation.” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, San Diego, CA, 2005.,
B. J. Slocumb and M. E. Klusman III, “A Multiple-model SNR/RCS Likelihood Ratio Score for Radar-based Feature-aided Tracking.” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5913, San Diego, CA, 2005.,
S. M. Gadaleta, A. B. Poore, S. E. Roberts, B. J. Slocumb, “Multiple Hypothesis Clustering and Multiple Frame Assignment Tracking,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5428, pp. 294-307, August 2004.,
S. M. Gadaleta, A. B. Poore, B. J. Slocumb, “Pixel-cluster Decomposition Tracking for Multiple IR-sensor Surveillance,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5204, pp. 270-282, January 2004.,
A. B. Poore, B. J. Slocumb, B. J. Suchomel, F. H. Obermeyer, S. M. Herman, S. M. Gadaleta, “Batch Maximum Likelihood (ML) and Maximum A Posteriori (MAP) Estimation with Process Noise for Tracking Applications,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5204, pp. 188-199, January 2004.,
A. B. Poore and S. M. Gadaleta, “Combinatorial Auctions, Coalitions, and Their Relation to Target Tracking,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5204, 2003.,
B. J. Slocumb, W. D. Blair, “Maximum Likelihood Narrowband Radar Data Segmentation and Centroid Processing,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 5204, pp. 648-661, 2003.,
W. D. Blair, B. J. Slocumb, G. C. Brown, A. H. Register, “Tracking Closely-spaced, Possibly Unresolved, Rayleigh Targets: Idealized Resolution,” Proceedings of the 2002 IEEE Aerospace Conference, Vol. 4, pp. 4-1543 – 4-1550, 2002.,
B. J. Slocumb, W. D. Blair, “EM-based Measurement Fusion for HRR Radar Centroid Processing,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 4728, pp. 80-90, August 2002.,
B. J. Slocumb, “Surveillance Radar Range-bearing Centroid Processing,” Proceedings of the SPIE, Conference on Signal and Data Processing of Small Targets, Vol. 4473, pp. 74-85, 2001.,
B. J. Slocumb, P. D. West, “Modeling Electronic Countermeasures for Multiple Target Tracking and Data Association,” in Multitarget/Multisensor Tracking: Advances and Applications III, edited by Y. Bar-Shalom and W. D. Blair; John Wiley: New York, 2001.,
N. Coult, “Introduction to Discontinuous Wavelets,” in Discontinuous Galerkin Methods: Theory, Computation, and Applications. Lecture Notes in Computational Science and Engineering 11. Springer-Verlag, 1999.,
G. Beylkin, N. Coult, and M. Mohlenkamp, “Fast Spectral Projection Algorithms for Density-matrix Computations,” J. Comput. Phys., 152 (1999), No. 1, pp. 32—54.,
B. J. Slocumb, P. D. West, “Methods to Minimize Collateral Damage: One Element in a Needed NATO SEAD Deployment Architecture,” NATO Air Force Armaments Group, Working Group on SEAD, Lechfeld Germany, September 21, 1998.,
P. D. West, B. J. Slocumb, “NSWC/ONR Multisensor Fusion Research at GTRI,” 1998 IRIS National Symposium on Sensor and Data Fusion, Vol. 1, Atlanta, GA, March 31 - April 2, 1998.,
G. Beylkin and N. Coult, “A Multiresolution Strategy for Reduction of Elliptic PDE's and Eigenvalue Problems,” Appl. Comput. Harmon. Anal., 5 (1998), No. 2, pp. 129—155.,
B. J. Slocumb, “A Comparison of Two Augmented PDA Filters,” Proceedings of the American Control Conference, Vol. 6, pp. 3688 – 3692, June 1997.,
B. J. Slocumb, E. W. Kamen, “The Pulse Train PDA Analysis and Deinterleaving Filter,” Proceedings of the SPIE, Signal Processing, Sensor Fusion, and Target Recognition VI, Vol. 3068, pp. 296-307, April 1997.,
P. D. West, B. J. Slocumb, “ECM Modeling for Assessment of Target Tracking Algorithms,” Proceedings of the Twenty-ninth Southeastern Symposium on System Theory, Vol. 1, pp. 500-504, March 1997.,
S. D. Elton, B. J. Slocumb, “A State Space Approach to Joint AOA and Period Estimation for a Class of Periodic Discrete Event Processes,” 1996 IEEE Region Ten Conference (TENCON) Digital Signal Processing Applications Proceedings, Vol. 2, pp. 686-91, November 1996.,
S. D. Elton, B. J. Slocumb, “Robust Parameter Estimation for Periodic Point Process Signals Using Circular Statistics,” Proceedings of Signal Processing VIII, Theories and Applications (EUSIPCO-96), Vol. 1, pp. 236-9, September 1996.,
S. D. Elton, B. J. Slocumb, “Robust Kalman Filter for Estimation and Tracking of a Class of Periodic Discrete Event Processes,” Fourth International Symposium on Signal Processing and Its Applications (ISSPA-96), Gold Coast, Australia, Vol. 1, pp. 184-7, August 1996.,
B. J. Slocumb, P. D. West, T. N. Shirey, E. W. Kamen, “Tracking a Maneuvering Target in the Presence of False Returns and ECM Using a Variable State Dimension Kalman Filter,” Proceedings of the 1995 American Control Conference, Vol. 4, pp. 2611-2615, June 1995.,
C. R. Sastry, B. J. Slocumb, P. D. West, E. W. Kamen, H. L. Stalford, “Tracking a Maneuvering Target Using Jump Filters,” Proceedings of the 1994 American Control Conference, Vol. 2, pp. 2081-2087, June 1994.,
B. J. Slocumb, J. Kitchen, “A Polynomial Phase Parameter Estimation-phase Unwrapping Algorithm,” IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 4, pp. 129-132, April 1994.,
D. A. Gray, B. J. Slocumb, S. D. Elton, “Parameter Estimation for Periodic Discrete Event Processes,” IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 4, pp. 93-96, April 1994.,
B. J. Slocumb, G. A. Wright, “Techniques in Test Procedure Development for Validating RF Receiver Requirements,” Australasian Instrumentation, Measurement, Test and Evaluation Conference, Adelaide, Australia, Vol. 1, pp. 457-461, April 1994.,
B. J. Slocumb, “Interception of Frequency-Hopped Radar Waveforms,” Proceedings of the Third International Symposium on Signal Processing and Its Applications, Gold Coast, Australia, Vol. 2, pp. 388-391, August 16-21, 1992.,
B. J. Slocumb, D. L. Snyder, “Maximum-Likelihood Estimation Applied to Quantum-Limited Optical Position-Sensing,” Proceedings of the SPIE, Acquisition, Tracking and Pointing IV, Vol. 1304, pp. 165-176, April 1990.,