Scale-space generation via uncertainty principles

Chen Sagiv*, Nir A. Sochen, Yehoshua Y. Zeevi

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


This study is concerned with the uncertainty principles which are related to the Weyl-Heisenberg, the SIM (2) and the Affine groups. A general theorem which associates an uncertainty principle to a pair of self-adjoint operators was previously used in finding the minimizers of the uncertainty principles related to various groups, e.g., the one and two-dimensional Weyl-Heisenberg groups, the one-dimensional Affine group, and the two-dimensional similitude group of ℝ2, SIM (2) = ℝ2 × (ℝ+ × SO(2)). In this study the relationship between the affine group in two dimensions and the SIM (2) group is investigated in terms of the uncertainty minimizers. Moreover, we present scale space properties of a minimizer of the SIM (2) group.

Original languageEnglish
Pages (from-to)351-362
Number of pages12
JournalLecture Notes in Computer Science
StatePublished - 2005
Event5th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2005 - Hofgeismar, Germany
Duration: 7 Apr 20059 Apr 2005


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