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- Janusz A. Starzyk, Dale E. Nelson, Kirk Sturtz
- Knowledge and Information Systems
- 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)

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

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)

- 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)

Recent research in invariant theory has determined the fundamental geometric relation between objects and their corresponding images. This relationship can be used to extract 3-D models from image sequences. This capability is extremely useful for image sequence compression, understanding , indexing, interpolating, and other applications. This paper… (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)

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

ÐObject 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 invariants are rare in general, so quasiinvariants relax the restrictions required for absolute invariants and, potentially, can be just as… (More)

- Kirk Sturtz
- 2007

- Kirk Sturtz
- 2007

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.

- Gregory Arnold, Kirk Sturtz, Vince Velten, N. Nandhakumar
- 1998

| 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)