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- Janusz A. Starzyk, Dale E. Nelson, Kirk Sturtz
- Knowl. Inf. Syst.
- 2000

When data sets are analyzed, statistical pattern recognition is often used to find the information hidden in the data. Another approach to information discovery is data mining. Data mining is concerned with finding previously undiscovered relationships in data sets. Rough set theory provides a theoretical basis from which to find these undiscovered… (More)

– When data sets are analyzed, statistical pattern recognition is often used to find the information hidden in the data. Another approach to information discovery is data mining. Data mining is concerned with finding previously undiscovered relationships in data sets. Rough set theory provides a theoretical basis from which to find these undiscovered… (More)

- Jared Culbertson, Kirk Sturtz
- Applied Categorical Structures
- 2014

- D Gregory Arnold, Kirk Sturtz, Vince Velten
- 1998

The techniques of Lie group analysis can be used to determine absolute invariant functions which serve as classiier functions in object recognition problems. Previously, the Lie groups were found for the conservation equation describing the energy exchange at the surface of an object viewed with an infrared camera. The result was that only trivial absolute… (More)

- D Gregory Arnold, Kirk Sturtz, Vince Velten
- 1997

The techniques of Lie group analysis can be used to determine absolute invariant functions which serve as classiier functions in object recognition problems. Lie group analysis is a powerful tool for analyzing complex systems such as the conservation model used in recent thermophysical invari-ance (TPI) research. We will discuss the mathematics of Lie… (More)

- D. Gregory Arnold, Kirk Sturtz, Vincent J. Velten, Nagaraj Nandhakumar
- IEEE Trans. Pattern Anal. Mach. Intell.
- 2000

| Object recognition requires robust and stable features that are unique in feature space. Lie group analysis provides a constructive procedure to determine such features, called invariants, when they exist. Absolute in-variants are rare in general, so quasi-invariants relax the restrictions required for absolute invariants and, potentially, can be just as… (More)

Recent research in the calculation and exploitation of geometric object/image relations suggests new approaches to automatic target recognition (ATR). The resulting conceptual advances have efficiently solved the geometry problem and have transformed the ATR problem into a correspondence problem. This paper provides an analysis of the elementary algorithms… (More)

Recent research in the calculation and exploitation of object/image relations suggests new approaches to ATR. The resulting conceptual advances transform the ATR problem into a feature extraction and correspondence problem. This paper addresses several application areas and demonstrates how the corresponding research areas are related by a common theory.

- D. Gregory Arnold, Kirk Sturtz, Vince Velten
- 2007

The temperature of a surface viewed by a long-wave in-frared camera can be predicted by a thermophysical model (a conservation of energy statement at the surface of a unit volume). However, this prediction currently requires at least 24 hours of previous imagery in order to estimate the parameters of the model. Absolute invariants, relative invariants, and… (More)

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