Dr Laura Rebollo-Neira

Phone number
+44 (0)121 204 3647

Email
rebollol@aston.ac.uk

Room number
Main Building 314C

Research Interests

Mathematical Analysis and Methods with applicability to Signal Processing.

• Applied Harmonic Analysis.
• Sparse Representations.
• Non-Linear Approximations.
• Generalized Sampling and Projections.
• Non-orthogonal Wavelet and Gabor Expansions.
• Redundant Representations and Frame Theory.
• Mathematical Methods for Inverse Problems.

Recent EPSRC project

EPSRC (EP/D062632/1) Highly nonlinear approximations for sparse signal representation

Online Journal Papers       

•  L. Rebollo-Neira, J.Bowley                                                                                                                                                                                              Sparse representation of astronomical images                                                                                                                                                Journal of  The Optical Society of America A,  Vol 30, 758-768 (2013). 

•  L. Rebollo-Neira, J. Bowley, A.G. Constantinides and A. Plastino                                                                                                                           Self Contained Encrypted Image Folding.                                                                                                                                                                  Physica A, Vol. 391 Issue 23, 5858--5870, DOI: 10.1016/j.physa.2012.06.042 (2012).       

• J. Bowley, L. Rebollo-Neira,                                                                                                                                                                                             Sparsity and `Something Else': An Approach to Encrypted Image Folding.                                                                                                            IEEE Signal Processing Letters,  Vol. 8 No 3, 189--192, doi: 10.1109/LSP.2011.2106496 (2011).

• L. Rebollo-Neira, Z. Xu,                                                                                                                                                                                                     Sparse signal representation by adaptive non-uniform B-spline dictionaries on a compact interval.                                                              Signal Processing, doi:10.1016/j.sigpro.2010.02.004 (2010).

• Z. Xu, L. Rebollo-Neira, A. Plastino,                                                                                                                                                                                 Subspace modelling for structured noise suppression.                                                                                                                                           Physica A doi:10.1016/j.physa.2010.01.031 (2010).

• L. Rebollo-Neira,                                                                                                                                                                                          Measurements design and phenomena discrimination.
  Journal of Physics A: Mathematical and Theoretical, Vol(42), 165210 (2009).
  

• L. Rebollo-Neira, A. Plastino,                                                                                                                                                                             Nonlinear non-extensive approach for identification of structured information.
  Physica A, doi:10.1016/j.physa.2009.08.003 (2009).

• M. Andrle, L. Rebollo-Neira, 
   From cardinal spline wavelet bases to highly coherent dictionaries.
  Journal of Physics A: Mathematical and Theoretical Vol (41), 172001 (2008).  
   
• L. Rebollo-Neira, 
  Oblique Matching Pursuit
  math.FA/0610904 IEEE Signal Processing Letters, Vol(14,10), 703-707 (2007).  
     
• L. Rebollo-Neira, 
  Constructive updating/downdating of oblique projectors: a generalization of the Gram-Schmidt process
  math.FA/0610094 Journal of Physics A: Mathematical and Theoretical , Vol(40), 6381-6394 (2007).  
   
• M. Andrle, L. Rebollo-Neira, 
  Experiments on orthogonalization by biorthogonal representations of orthogonal projectors.
  Journal of Computational and Applied Mathematics , Vol (205), 545-551 (2007).  
   
• L. Rebollo-Neira, A. Plastino, 
  Statistical distribution, host for encrypted information.
  Physica A ,Vol (359), 213-221(2006).  
   
• M. Andrle, L. Rebollo-Neira, 
  A swapping-based refinement of orthogonal matching pursuit strategies.
  Signal Processing, special issue on "Sparse Approximations in Signal and Image Processing", Vol (86,3), 480-495 (2006).  
   
• L. Rebollo-Neira, S. Jain, 
  On the truncation of the harmonic oscillator wavepacke.
  J. Phys. A: Math. Gen. , Vol(38, 17), L293-L299, (2005).  
   
• M. Andrle, L. Rebollo-Neira, 
  Cardinal B-spline dictionaries on a compact interval.
  Applied and Computational Harmonic Analysis , Vol 18, No 3 336-346 (2005).  
   
• L. Rebollo-Neira, A. Plastino, 
  Constructive approximations to the q=1/2 maximum entropy distribution from redundant and noisy data.
  Phys. Rev. E,Vol (70,2), (2004).  
   
• M. Andrle, L. Rebollo-Neira, E. Sagianos, 
  Backward-Optimized Orthogonal Matching Pursuit Approach .
  IEEE Signal Processing Letters , Vol(11,9), 705-708 (2004).  
   
• J. R. Miotke, L. Rebollo-Neira, 
  Oversampling of Fourier Coefficients for Hiding Messages .
  Applied and Computational Harmonic Analysis , Vol(16,3), 203-207 (2004).  
   
• L. Rebollo-Neira, 
  Backward Adaptive Biorthogonalization .
  Int. J. Math. Math. Sci. , Vol(2004,35), 1843-1853 (2004).  
   
• L. Rebollo-Neira, 
  Dictionary redundancy elimination .
  IEE Proceedings - Vision, Image and Signal Processing , Vol(151,1), 31-34 (2004).  
   
• L. Rebollo-Neira, A. Plastino, 
  A recursive approach for constructing the q=1/2 MaxEnt distribution from redundant data.
  Phys. Rev. E,Vol (66, 3), (2002).  
   
• L. Rebollo-Neira, 
  Recursive bi-orthogonalisation approach and orthogonal projectors.
  math-ph/0209026 (2002), Also in Progress in Mathematical Physics, Nova Science Publishers, , to be publised.  
   
• L. Rebollo-Neira, D. Lowe, 
  Optimised Orthogonal Matching Pursuit Approach.
  IEEE Signal Processing Letters, Vol(9,4), 137-140, (2002).  
   
• L. Rebollo-Neira, A. Plastino, 
  Nonextensive maximum-entropy-based formalism for data subset selection.
  Phys. Rev. E, Vol(65,1), 11113-11119, (2002).  
   
• L. Rebollo-Neira, 
  Frames in two dimensions arising from wavelet transforms.
  Proceedings of the Royal Society A, Vol (457, 2013), 2079-2091. (2001). 
     
• L. Rebollo-Neira, 
  Frames of cross ambiguity functions.
  IEEE Signal Processing Letters, Vol (7, 10) 293-296, (2000).  
   
• L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, 
  Reconstruction of the joint time-delay and Doppler-scale reflectivity density in the wideband regimen. A frame theory approach.
  Journal of Mathematical Physics, Vol(41, 8), 5325-5341, (2000).  
   
• L. Rebollo-Neira, A. Plastino, 
  A Frame Theory based approach for determining the Time-Frequency distribution characterizing a dense group of reflecting objects.
  Journal of the Optical Society of America A, Vol(17,6), 1077-1085, (2000).  
   
• L. Rebollo-Neira, A. Plastino, 
  The cross Wigner distribution as a generator of frames on the Euclidean plane from frames on the real line.
  Journal of Physics A, Vol(33, 15), 3053-3061, (2000).  
   
• L. Rebollo-Neira, J. Fernandez-Rubio, 
  The Continuous Wavelet Transform as a Maximum Entropy solution of the corresponding inverse problem.
  IEEE Trans. Signal Processing, Vol(47, 7), 2046-2050, (1999).  
   
• L. Rebollo-Neira, J. Fernandez Rubio, 
  On The Inverse Windowed Fourier Transform.
  IEEE Trans. Information Theory , Vol(45, 7), 2668-2671, (1999).  
   
• L. Rebollo-Neira, A. G. Constantinides, T. Stathaki, 
  Signal Representation for Compression and Noise Reduction through Frame-Based Wavelets.
  IEEE Trans. Signal Processing, Vol(46,3), 587-597, (1998).  
   
• L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, 
  On the q=1/2 non-extensive maximum entropy distribution.
  Physica A Vol(258), 458-465, (1998).  
   
• L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, 
  A non-extensive maximum entropy based regularization method for bad conditioned inverse problems.
  Physica A, Vol(261), 555-568, (1998).  
   
• L. Rebollo-Neira, A. G. Constantinides, A. Plastino, A. Alvarez, R Bonetto, M. Iniguez Rodriguez, 
  Statistical Analysis of a Mixed-Layer x Ray Diffraction Peak.
  Journal of Physics D, Vol(30, 17), 2462-2469, (1997).  
   
• L. Rebollo-Neira, J. Fernandez-Rubio, 
  On Wideband Deconvolution using Wavelet Transforms.
  IEEE Signal Processing Letters, Vol(4), 207-209, (1997).  
   
• L. Rebollo-Neira, J. Fernandez-Rubio, A. Plastino, 
  Frames: a Maximum Entropy Statistical Estimate of the Inverse Problem.
  Journal of Mathematical Physics, Vol( 38,9), 4863-4871, (1997).  
   
• L. Rebollo-Neira, A. G. Constantinides, 
  Power Spectrum Estimation from Noisy and Limited Autocorrelation Values. A Maximum Entropy Approach.
  Signal Processing, Vol(56), 135-147, (1997).  
   
• L. Rebollo-Neira, A. G. Constantinides, 
  Power Spectrum Estimation from values of noisy autocorrelations.
  Signal Processing, Vol(50), 223-231, (1997).