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

1989

@article{Pin1989,
	vgclass =	{refpap},
	vgproject =	{invariance},
	author =	{David A. Pintsov},
	title =	{Invariant Pattern Recognition, Symmetry, and Radon
	Transforms},
	journal =	{Journal of the Optical Society of America (A)},
	volume =	{6},
	number =	{10},
	pages =	{1544--1554},
	month =	{October},
	year =	{1989},
	abstract =	{A framework for a large class of
	invariant-pattern-recognition problems is suggested. The proposed
	approach combines the properties of uniqueness, registration, and
	optimality with the ability to use natural symmetries of input
	patterns. The approach is based on cross correlation. The
	cross-correlation function with respect to a group of transformations
	is defined. The properties of this function and methods of its
	calculation are discussed. As a special case, it is shown formally that
	the cross correlation with respect to the motion group is the basis of
	such techniques as Radon transforms and the Hough technique. The roles
	of symmetry and parameters are examined. A technique for decomposition
	of pictures into sums of separable functions associated with groups of
	transformations is applied to the calculation of the cross correlation
	function. Several examples of applications of the proposed approach are
	given.},
}