Dr. Gregory Arnold Profile

Dr. Gregory Arnold

at Matrix Research Inc

Publications (23)

Proceedings Article | 17 May 2016 Paper

A baseline for the scene understanding challenge problem

Gregory Arnold, Jared Culbertson, Todd Rovito, Euvondia Barto, Mary Ann Harrison, Stephen Walls

Proceedings Volume 9842, 98420X (2016) https://doi.org/10.1117/12.2220419

KEYWORDS: Sensors, Systems modeling, Clouds, Cameras, Algorithm development, Video, Computing systems, Visualization, Buildings, Data storage

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Proceedings Article | 23 May 2013 Paper

Multiple-object shape and motion reconstruction with missing radar data

Gregory Arnold, Matthew Ferrara, Jason Parker

Proceedings Volume 8746, 87460G (2013) https://doi.org/10.1117/12.2014384

KEYWORDS: Data modeling, Radar, Scattering, Motion models, Motion estimation, Antennas, Detection and tracking algorithms, Sensors, Associative arrays, Radar imaging

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Proceedings Article | 15 April 2010 Paper

Applying manifold learning techniques to the CAESAR database

Olga Mendoza-Schrock, James Patrick, Gregory Arnold, Matthew Ferrara

Proceedings Volume 7704, 77040O (2010) https://doi.org/10.1117/12.851722

KEYWORDS: Diffusion, Databases, Dimension reduction, Analytical research, Sensors, Human subjects, Genetic algorithms, Data processing, Principal component analysis, Optical spheres

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Proceedings Article | 29 April 2009 Paper

DC optimization modeling for shape-based recognition

Kirk Sturtz, Gregory Arnold, Matthew Ferrara

Proceedings Volume 7337, 73370O (2009) https://doi.org/10.1117/12.820293

KEYWORDS: Computer programming, Optimization (mathematics), Solid modeling, Data modeling, Systems modeling, Model-based design, Detection and tracking algorithms, Computer aided design, 3D modeling, Mathematical modeling

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Proceedings Article | 3 February 2009 Paper

Aspects of 3D shape reconstruction

Peter Stiller, Gregory Arnold, Matthew Ferrara

Proceedings Volume 7246, 72460Q (2009) https://doi.org/10.1117/12.807736

KEYWORDS: 3D image processing, 3D image reconstruction, Radar, Radon, Sensors, Clouds, Cameras, 3D vision, Reconstruction algorithms, Machine vision

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Proceedings Article | 15 April 2008 Paper

An ATR challenge problem using HRR data

Bart Kahler, John Querns, Greg Arnold

Proceedings Volume 6970, 69700S (2008) https://doi.org/10.1117/12.778018

KEYWORDS: Automatic target recognition, Detection and tracking algorithms, Algorithm development, Target recognition, Sensors, Radar, Databases, Mercury, Ku band, Data processing

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Proceedings Article | 25 March 2008 Paper

The ATR Center and ATRpedia

Gregory Arnold, Timothy Ross, Lori Westerkamp, Lawrence Carin, Randolph Moses

Proceedings Volume 6978, 69780T (2008) https://doi.org/10.1117/12.783439

KEYWORDS: Automatic target recognition, Sensors, Data modeling, Algorithm development, Performance modeling, Systems modeling, 3D modeling, Detection and tracking algorithms, Systems engineering, Data centers

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Proceedings Article | 17 March 2008 Paper

Further exploration of the object-image metric with image registration in mind

Olga Mendoza, Gregory Arnold, Peter Stiller

Proceedings Volume 6974, 697405 (2008) https://doi.org/10.1117/12.777181

KEYWORDS: Image registration, Databases, Image processing, Sensors, Image sensors, 3D modeling, 3D image processing, Automatic target recognition, Buildings, Image resolution

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Proceedings Article | 7 May 2007 Paper

Diffusion maps and radar data analysis

Y. Bhat, Gregory Arnold

Proceedings Volume 6568, 65680X (2007) https://doi.org/10.1117/12.731459

KEYWORDS: Diffusion, Radar, Polarization, Electroluminescence, Data modeling, Sensors, Data analysis, Domes, Dimension reduction, Synthetic aperture radar

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Proceedings Article | 7 May 2007 Paper

Dissecting the object-image metric with image registration in mind

Olga Lisvet Mendoza, Gregory Arnold

Proceedings Volume 6568, 65680Y (2007) https://doi.org/10.1117/12.719862

KEYWORDS: Image registration, Buildings, Databases, 3D modeling, Cameras, Automatic target recognition, 3D image processing, Image sensors, Sensors, Image quality

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Proceedings Article | 3 May 2007 Paper

Two joint time-frequency transforms for velocity separation of moving target radar data

Matthew Ferrara, Gregory Arnold, Margaret Cheney

Proceedings Volume 6547, 654706 (2007) https://doi.org/10.1117/12.723152

KEYWORDS: Time-frequency analysis, Radar, Doppler effect, Transform theory, Fourier transforms, Data modeling, Scattering, Sensors, Iterated function systems, X band

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Proceedings Article | 3 May 2007 Paper

Identification of multiple-scattering events from 3D GTD-based parametric scattering models

Matthew Ferrara, Margaret Cheney, Gregory Arnold

Proceedings Volume 6547, 65470M (2007) https://doi.org/10.1117/12.723156

KEYWORDS: Scattering, 3D modeling, Radar, Wavefronts, Radon transform, Multiple scattering, Sensors, Electromagnetic scattering, Motion models, Synthetic aperture radar

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Proceedings Article | 29 January 2007 Paper

Mathematical aspects of shape analysis for object recognition

D. Gregory Arnold, Peter Stiller

Proceedings Volume 6508, 65080E (2007) https://doi.org/10.1117/12.707255

KEYWORDS: Sensors, Shape analysis, Object recognition, Mathematical modeling, Matrices, Target recognition, Cameras, 3D image processing, Image acquisition, Error analysis

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Proceedings Article | 1 August 2002 Paper

Extracting models from RADAR data for 3-D target ID

Gregory Meyer, Steven Gustafson, D. Gregory Arnold

Proceedings Volume 4727, (2002) https://doi.org/10.1117/12.478694

KEYWORDS: Scattering, 3D modeling, Radar, Optical spheres, 3D acquisition, Data modeling, Detection and tracking algorithms, Fourier transforms, Solid modeling, Sensors

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Proceedings Article | 1 August 2002 Paper

Label-invariant approach to procrustes analysis

Lauren Levine, Gregory Arnold, Kirk Sturtz

Proceedings Volume 4727, (2002) https://doi.org/10.1117/12.478693

KEYWORDS: Shape analysis, Automatic target recognition, Matrices, Analytical research, Sensors, Nose, Feature extraction, Optical spheres, Distance measurement, Data modeling

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Proceedings Article | 22 May 2002 Paper

Using Procrustes distance and shape space for automatic target recognition

Gregory Meyer, Steven Gustafson, Gregory Arnold

Proceedings Volume 4667, (2002) https://doi.org/10.1117/12.468018

KEYWORDS: Automatic target recognition, Statistical analysis, Transform theory, Shape analysis, Analytical research, Target recognition, 3D acquisition, 3D image processing, Radar, Ray tracing

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Equating objects based on shape similarity (for example scaled Euclidean transformations) is often desirable to solve the Automatic Target Recognition (ATR) problem. The Procrustes distance is a metric that captures the shape of an object independent of the following transformations: translation, rotation, and scale. The Procrustes metric assumes that all objects can be represented by a set of landmarks (i.e. points), that they have the same number of points, and that the points are ordered (i.e., the exact correspondence between the points is known from one object to the next). Although this correspondence is not known for many ATR problems, computationally feasible methods for examining all possible combinations are being explored. Additionally, most objects can be mapped to a shape space where translation, rotation, and scaling are removed, and distances between object points in this space can then form another useful metric. To establish a decision boundary in any classification problem, it is essential to know the a prior probabilities in the appropriate space. This paper analyzes basic objects (triangles) in two-dimensional space to assess how a known distribution in Euclidean space maps to the shape space. Any triangles whose three coordinate points are uniformly distributed within a two-dimensional box transforms to a bivariate independent normal distribution with mean (0,0) and standard deviations of 2 in Kendall shape space (two points of the triangle are mapped to {-1/2,0} and {1/2,0}). The Central Limit Theorem proves that the limit of sums of finite variance distributions approaches the normal distribution. This is a reasonable model of the relationship between the three Euclidean coordinates relative to the single Kendall shape space coordinate. This paper establishes the relationship between different objects in the shape space and the Procrustes distance, which is an established shape metric, between these objects. Ignoring reflections (because it is a special case), the Procrustes distance is isometric to the shape space coordinates. This result demonstrates that both Kendall coordinates and Procrustes distance are useful features for ATR.

Proceedings Article | 22 October 2001 Paper

Detection and recognition in ladar using invariants and covariants

Gregory Arnold, Kirk Sturtz, Isaac Weiss

Proceedings Volume 4379, (2001) https://doi.org/10.1117/12.445380

KEYWORDS: LIDAR, Optical spheres, Databases, Sensors, 3D modeling, Image segmentation, Detection and tracking algorithms, Model-based design, 3D image processing, Data modeling

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Proceedings Article | 27 August 2001 Paper

Effect of SAR resolution on target identification

Gregory Meyer, Steven Gustafson, Gregory Arnold

Proceedings Volume 4382, (2001) https://doi.org/10.1117/12.438227

KEYWORDS: Image resolution, Target recognition, Synthetic aperture radar, Image processing, Image filtering, Spatial resolution, Digital filtering, Sensors, Data conversion, Data processing

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Proceedings Article | 27 August 2001 Paper

Synthesizing invariant 3D rigid scattering centers

Gregory Arnold, Rifka Claypool, Vincent Velten, Kirk Sturtz

Proceedings Volume 4382, (2001) https://doi.org/10.1117/12.438233

KEYWORDS: Scattering, 3D modeling, Radar, 3D acquisition, 3D image processing, Automatic target recognition, 3D image reconstruction, Reflectors, Sensors, Databases

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Proceedings Article | 24 August 2000 Paper

Geometric object/image relations for radar

D. Gregory Arnold, Kirk Sturtz

Proceedings Volume 4053, (2000) https://doi.org/10.1117/12.396364

KEYWORDS: 3D modeling, Radar, Sensors, Image sensors, Scattering, 3D image processing, Motion models, Data modeling, Systems modeling, Synthetic aperture radar

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Proceedings Article | 18 September 1998 Paper

Canonical correlation analysis of LWIR imagery in the frequency domain

Terry Nichols, John Thomas, Wolfgang Kober, Gregory Arnold, Vincent Velten

Proceedings Volume 3371, (1998) https://doi.org/10.1117/12.323863

KEYWORDS: Field effect transistors, Long wavelength infrared, Aluminum, Iron, Solids, Thermography, Computing systems, Canonical correlation analysis, Temperature metrology, Statistical analysis

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Proceedings Article | 19 February 1996 Paper

Site change detection for RADIUS using thermophysical algebraic invariants

Nagaraj Nandhakumar, Johnathan Michel, D. Gregory Arnold, Vincent Velten, George Tsihrintzis

Proceedings Volume 2645, (1996) https://doi.org/10.1117/12.233057

KEYWORDS: Long wavelength infrared, Wind energy, Object recognition, Data modeling, Solar energy, Aluminum, Thermography, Model-based design, Performance modeling, Visual process modeling

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Proceedings Article | 15 September 1995 Paper

Site change detection and object recognition using thermophysical affine invariants from infrared imagery

Nagaraj Nandhakumar, Johnathan Michel, D. Gregory Arnold, Vincent Velten

Proceedings Volume 2589, (1995) https://doi.org/10.1117/12.220956

KEYWORDS: Long wavelength infrared, Object recognition, Wind energy, Thermography, Solar energy, Aluminum, Infrared imaging, Infrared radiation, Visual process modeling, Model-based design

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Showing 5 of 23 publications

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