L0-Norm-Based Sparse Representation Through Alternate Projections
作者： Luis Mancera , Javier Portilla
关键词:
摘要: We present a simple and robust method for finding sparse representations in overcomplete transforms, based on minimization of the L0-norm. Our is better than current solutions L1-norm terms energy compaction. These results strongly question equivalence minimizing both norms real conditions. also show application to in-painting (interpolation lost pixels).
sci-hub.se 参考文章(21)
R. R. Coifman, D. L. Donoho, Translation-Invariant De-Noising Wavelets and Statistics. pp. 125- 150 ,(1995) , 10.1007/978-1-4612-2544-7_9
David L. Donoho, Emmanuel J. Candes, Curvelets: A Surprisingly Effective Nonadaptive Representation for Objects with Edges ,(2000)
Brian A. Wandell, Foundations of vision ,(1995)
Filip Rooms, Wilfried R. Philips, Javier Portilla, Parametric PSF estimation via sparseness maximization in the wavelet domain Proc.of SPIE - Wavelet applications in industrial processing II. ,vol. 5607, pp. 26- 33 ,(2004) , 10.1117/12.571539
D. Youla, Generalized Image Restoration by the Method of Alternating Orthogonal Projections IEEE Transactions on Circuits and Systems. ,vol. 25, pp. 694- 702 ,(1978) , 10.1109/TCS.1978.1084541
Emmanuel Candes, Justin Romberg, Stable signal recovery from incomplete observations Proceedings of SPIE. ,vol. 5914, pp. 239- 244 ,(2005) , 10.1117/12.620143
J.-L. Starck, Y. Moudden, J. Bobin, M. Elad, D. L. Donoho, Morphological component analysis Proceedings of SPIE. ,vol. 5914, pp. 209- ,(2005) , 10.1117/12.615237
David L. Donoho, For most large underdetermined systems of linear equations the minimal 1-norm solution is also the sparsest solution Communications on Pure and Applied Mathematics. ,vol. 59, pp. 797- 829 ,(2006) , 10.1002/CPA.20132
B OLSHAUSEN, D FIELD, Sparse coding of sensory inputs. Current Opinion in Neurobiology. ,vol. 14, pp. 481- 487 ,(2004) , 10.1016/J.CONB.2004.07.007
Scott Shaobing Chen, David L. Donoho, Michael A. Saunders, Atomic Decomposition by Basis Pursuit SIAM Review. ,vol. 43, pp. 129- 159 ,(2001) , 10.1137/S003614450037906X