Name
Abstract | ||
|---|---|---|
Tight frames can be characterized as those frames which possess optimal numerical stability properties. In this paper, we consider the question of modifying a general frame to generate a tight frame by rescaling its frame vectors; a process which can also be regarded as perfect preconditioning of a frame by a diagonal operator. A frame is called scalable, if such a diagonal operator exists. We derive various characterizations of scalable frames, thereby including the infinite-dimensional situation. Finally, we provide a geometric interpretation of scalability in terms of conical surfaces. |
Year | Venue | DocType |
|---|---|---|
2012 | CoRR | Journal |
Volume | Citations | PageRank |
abs/1204.1880 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gitta Kutyniok | 1 | 325 | 34.77 |
| Kasso A. Okoudjou | 2 | 6 | 3.40 |
| Friedrich Philipp | 3 | 3 | 0.91 |
| Elizabeth K. Tuley | 4 | 0 | 0.34 |