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mppca_denoise's Introduction

"MPPCA": 4d image denoising and noise map estimation by exploiting data redundancy in the PCA domain using universal properties of the eigenspectrum of random covariance matrices, i.e. Marchenko Pastur distribution

  MATLAB:
  [Signal, Sigma] = MPdenoising(data, mask, kernel, sampling)
       output:
           - Signal: [x, y, z, N] denoised data matrix
           - Sigma: [x, y, z] noise map
       input:
           - data: [x, y, z, M] data matrix
           - mask:   (optional)  region-of-interest [boolean]
           - kernel: (optional)  window size, typically in order of [5 x 5 x 5]
           - sampling: 
                    1. full: sliding window (default for noise map estimation, i.e. [Signal, Sigma] = MPdenoising(...) )
                    2. fast: block processing (default for denoising, i.e. [Signal] = MPdenoising(...))
                    
  PYTHON:
  import mpdenoise as mp
  imgdn, sigma, nparameters = mp.denoise(img, kernel='5,5,5)
  
     output:
         - Signal [x, y, z, N] denoised data matrix
         - Sigma [x, y, z] noise map
         - N parameters [x, y, z] significant principal component map
     input:
         - data: [x, y, z, N] data matrix
         - kernel: (optional) window size, typically in order of [5 x 5 x 5]
         
 
  Authors: Jelle Veraart ([email protected]), Ben Ades-Aron ([email protected])
  Copyright (c) 2016 New York Universit and University of Antwerp
       
      Permission is hereby granted, free of charge, to any non-commercial entity
      ('Recipient') obtaining a copy of this software and associated
      documentation files (the 'Software'), to the Software solely for
      non-commercial research, including the rights to use, copy and modify the
      Software, subject to the following conditions: 
       
        1. The above copyright notice and this permission notice shall be
      included by Recipient in all copies or substantial portions of the
      Software. 
       
        2. THE SOFTWARE IS PROVIDED 'AS IS', WITHOUT WARRANTY OF ANY KIND,
      EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIESOF
      MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
      NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BELIABLE FOR ANY CLAIM,
      DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR
      OTHERWISE, ARISING FROM, OUT OF ORIN CONNECTION WITH THE SOFTWARE OR THE
      USE OR OTHER DEALINGS IN THE SOFTWARE. 
       
        3. In no event shall NYU be liable for direct, indirect, special,
      incidental or consequential damages in connection with the Software.
      Recipient will defend, indemnify and hold NYU harmless from any claims or
      liability resulting from the use of the Software by recipient. 
       
      4. Neither anything contained herein nor the delivery of the Software to
      recipient shall be deemed to grant the Recipient any right or licenses
       under any patents or patent application owned by NYU. 
       
        5. The Software may only be used for non-commercial research and may not
      be used for clinical care. 
       
        6. Any publication by Recipient of research involving the Software shall
      cite the references listed below.
 
 REFERENCES
      Veraart, J.; Fieremans, E. & Novikov, D.S. Diffusion MRI noise mapping
      using random matrix theory Magn. Res. Med., 2016, early view, doi:
      10.1002/mrm.26059

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