Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/11408031_30 | Scale-Space |
Keywords | Field | DocType |
present scale space property,self-adjoint operator,two-dimensional similitude group,one-dimensional affine group,uncertainty minimizer,general theorem,affine group,scale-space generation,various group,two-dimensional weyl-heisenberg group,uncertainty principle,scale space,two dimensions,heisenberg group,self adjoint operator | Affine transformation,Discrete mathematics,Similitude,Uncertainty principle,Scale space,Operator (computer programming),Self-adjoint operator,Affine group,Mathematics | Conference |
Volume | ISSN | ISBN |
3459 | 0302-9743 | 3-540-25547-8 |
Citations | PageRank | References |
4 | 0.82 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chen Sagiv | 1 | 162 | 10.74 |
| Nir A. Sochen | 2 | 672 | 63.76 |
| Yehoshua Y. Zeevi | 3 | 610 | 248.69 |