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

1993

@article{SeZ1993,
	vgclass =	{refpap},
	author =	{Joseph Segman and Yehoshua Y. Zeevi},
	title =	{Image Analysis by Wavelet-Type Transforms: Group Theoretic
	Approach},
	journal =	{Journal of Mathematical Imaging and Vision},
	volume =	{3},
	pages =	{51--77},
	year =	{1993},
	abstract =	{A group theoretic approach to image representation and
	analysis is presented. The concept of a wavelet transform is extended
	to incorporate different types of groups. The wavelet approach is
	generalized to Lie groups that satisfy conditions of compactness and
	commutability and to groups that are determined in a particular way by
	subgroups that satisfy these conditions.  These conditions are
	fundamental to finding the invariance measure for the admissibility
	condition of a mother wavelet-type transform. The following special
	cases of interest in image representation in biological and computer
	vision are discussed: 2- and 3-D rigid motion, similarity and
	Lorentzian groups, and 2-D projective groups obtained from 3-D camera
	rotation.},
}