Issue No. 07 - July (2000 vol. 22)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/34.865182
<p><b>Abstract</b>—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 invariants are rare in general, so quasi-invariants relax the restrictions required for absolute invariants and, potentially, can be just as useful in real-world applications. This paper develops the concept of a dominant-subspace invariant, a particular type of quasi-invariant, using the theory of Lie groups. A constructive algorithm is provided that fundamentally seeks to determine an integral submanifold which, in practice, is a good approximation to the orbit of the Lie group action. This idea is applied to the long-wave infrared problem and experimental results are obtained supporting the approach. Other application areas are cited.</p>
Dominant-subspace invariants, Lie group analysis, principal basis, quasi-invariants, thermophysical invariance, thermophysical model.
D. G. Arnold, N. Nandhakumar, V. Velten and K. Sturtz, "Dominant-Subspace Invariants," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 22, no. , pp. 649-662, 2000.