Fusion Frames

Title/Citation
Constructions and properties of optimally spread subspace packings via symmetric and affine block designs and mutually unbiased bases

Peter G. Casazza, John I. Haas IV, Joshua Stueck, and Tin T. Tran, 2018 (submitted).
 

Weighted fusion frame contruction via Spectral Tetris

Peter G. Casazza and Jesse Peterson, (2018) submitted.

Fusion frames

P. C. Casazza, G. Kutyniok, Fusion frames, in Finite Frames: Theory and Applications, Eds. P. G. Casazza and G. Kutyniok, Birkhäuser, Boston (2012).

Spectral tetris fusion frame constructions

P. G. Casazza, M. Fickus, A. Heinecke, Y. Wang and Z. Zhou, Spectral tetris fusion frame constructions, Jour. Fourier Anal. and Appls. 18 No. 4 (2012) 828-851.

Fusion frames and the restricted isometry property

B. G. Bodmann, J. Cahill, P. G. Casazza, Fusion frames and the restricted isometry property, preprint (2011).

Fusion frames and unbiased basic sequences

B. G. Bodmann, P. G. Casazza, J. Peterson, I. Smalyanau, Fusion frames and unbiased basic sequences, preprint (2011).

Optimally sparse fusion frames: Existence and construction

P. G. Casazza, A. Heinecke, G. Kutyniok, Optimally sparse fusion frames: Existence and construction, Proceedings of SampTA 2011, Singapore.

Sparse Fusion Frames: Existence and Construction

R. Calderbank, P. G. Casazza, A. Heinecke, G. Kutyniok, and A. Pezeshki, Sparse Fusion Frames: Existence and Construction. Advances in Computational Mathematics, 35 No. 1 (2011) pp. 1-31.

Constructing tight fusion frames

P.G. Casazza, M. Fickus, D. Mixon, Y. Wang and Z. Zhou, Constructing tight fusion frames, Appl. Comput. Harmon. Anal. 30 (2011) 175-187.

Non-orthogonal fusion frames and the sparsity of fusion frame operators

J. Cahill, P. G. Casazza, S. Li, Non-orthogonal fusion frames and the sparsity of fusion frame operators, submitted to JFAA.

Constructing Fusion Frames with Desired Parameters

R. Calderbank, P. G. Casazza, A. Heinecke, G. Kutyniok, and A. Pezeshki, Constructing Fusion Frames with Desired Parameters. Wavelets XIII (San Diego, CA, 2009), 744612-1 - 744612-10, SPIE Proc. 7446, SPIE, Bellingham, WA, 2009.

Constructions and existence of tight fusion frames

P.G. Casazza, M. Fickus, D. Mixon, Y.Wang and Z. Zhou, Constructions and existence of tight fusion frames, Proc. SPIE. 7446 (2009) 744613/1-10.

Minimizing Fusion Frame Potentials

P.G. Casazza and M. Fickus, Minimizing Fusion Frame Potentials, Acta Applicandae Mathematicae, Volume 107, Numbers 1-3 (2009), pp. 7-24.

Robustness of Fusion Frames under Erasures of Subspaces and Local Frame Vectors

P.G. Casazza and G. Kutyniok, Robustness of Fusion Frames under Erasures of Subspaces and Local Frame Vectors, Cont. Math., 464 (2008) 149-160.

Fusion Frames and Distributed Processing

P. G. Casazza, G. Kutyniok and S. Li, Fusion Frames and Distributed Processing, Appl. Comput. Harmon. A., 25 (2008) 114-132.

Modeling Sensor Networks with Fusion Frames

P.G. Casazza, G. Kutyniok, S. Li and C. Rozell, Modeling Sensor Networks with Fusion Frames, Wavelets XII (San Diego, CA, 2007), 67011M-1 - 67011M-11, SPIE Proc. 6701, SPIE, Bellingham, WA, 2007.

Frames of Subspaces

P.G. Casazza and G. Kutyniok, Frames of Subspaces, Contemporary Math, Vol. 345 (2004) pp. 87-114.

Fusion Frames and Theoretical Applications

P.G. Casazza, Fusion Frames and Theoretical Applications, Preprint: www.fusionframe.org.