Refereed full papers (journals, book chapters, international conferences)

1990

@article{Len1990,
	vgclass =	{refpap},
	vgproject =	{invariance},
	author =	{Reiner Lenz},
	title =	{Group Invariant Pattern Recognition},
	journal =	{Pattern Recognition},
	volume =	{23},
	number =	{1/2},
	pages =	{199--217},
	year =	{1990},
	abstract =	{In this paper we develop a group theoretic model for the
	feature extraction part of pattern recognition systems. We argue that
	the features used should reflect the regularities in the environment in
	which the system exists. We develop first a group theoretical model to
	describe these regularities, and then we show how to construct a
	feature extraction system that reflects these regularities. We show why
	the so found filter functions often appear as solutions to optimality
	problems and why they often have some nice properties such as
	invariance under the Fourier transformation. We will mainly investigate
	problems connected to the group of rotations (in 2-D and 3-D space) but
	we will touch other types of symmetries as well.},
}