A Unified Framework for Bases, Frames, Subspace Bases, and Subspace Frames

G. Farnebäck
Proceedings of the 11th Scandinavian Conference on Image Analysis
Pages 341-349
June, 1999

Download full paper

Abstract

Frame representations (e.g. wavelets) and subspace projections are important tools in many image processing applications. A unified framework for frames and subspace bases, as well as bases and subspace frames, is developed for finite dimensional vector spaces. Dual (subspace) bases and frames are constructed and the theory is generalized to weighted norms and seminorms. It is demonstrated how the framework applies to the cubic facet model, to normalized convolution, and to projection onto second degree polynomials.

Reference

Farnebäck G. A unified framework for bases, frames, subspace bases, and subspace frames. In Proceedings of the 11th Scandinavian Conference on Image Analysis. Kangerlussuaq, Greenland: SCIA, 1999;341-349. Also as Technical Report LiTH-ISY-R-2246.

Bibtex entry

@InProceedings{farnebackSCIA99,
  author         = {G. Farneb{\"a}ck},                                         
  title          = {A Unified Framework for Bases, Frames, Subspace Bases, and 
                   Subspace Frames},                                           
  booktitle      = {Proceedings of the 11th Scandinavian Conference on Image   
                   Analysis},                                                  
  year           = {1999},                                                     
  organization   = {SCIA},                                                     
  address        = {Kangerlussuaq, Greenland},                                 
  month          = {June},                                                     
  pages          = {341--349},                                                 
  note           = {Also as Technical Report LiTH-ISY-R-2246}
}