Name
Abstract | ||
|---|---|---|
This paper describes a general mathematical formulation for theproblem of constructing steerable functions. The formulation is basedon Lie group theory and is thus applicable to transformationswhich are Lie groups, such as, rotation, translation, scaling,and affine transformation. For one-parameter and Abelianmulti-parameter Lie transformation groups, a canonical decompositionof all possible steerable functions, derived using the Jordandecomposition of matrices, is developed. It is shown thatany steerable function under Lie transformation groups can bedescribed using this decomposition. Finally, a catalog of steerablefunctions for several common multi-parameter image transformationgroups is also provided. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1023/A:1008274211102 | Journal of Mathematical Imaging and Vision |
Keywords | DocType | Volume |
steerable filters,Lie group theory,transformation groups,canonical coordinates,Jordan decomposition,equivariant basis functions and low-level image processing | Conference | 9 |
Issue | ISSN | ISBN |
1 | 1573-7683 | 0-8186-7258-7 |
Citations | PageRank | References |
15 | 0.92 | 14 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yacov Hel-Or | 1 | 461 | 40.74 |
| Patrick C. Teo | 2 | 80 | 8.21 |