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Free Matlab software (GNU): Lifting scheme on 2D (quincunx) grids



See below and run example11.m

  ===================================================================

                              L I S Q
   LISQ is a MATLAB toolbox for the lifting scheme on quincunx grids
   Copyright (C) 1998-2003 Stichting CWI, Amsterdam, The Netherlands

   This program is free software; you can redistribute it and/or
   modify it under the terms of the GNU General Public License
   as published by the Free Software Foundation; either version 2
   of the License, or (at your option) any later version.

   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston,
   MA 02111-1307, USA.

  ===================================================================

  SUMMARY

  The collection of functions includes second generation wavelet
  decomposition and reconstruction tools for images, visualization
  tools, as well as functions for the computation of moments.
  The wavelet schemes rely on the lifting scheme of Sweldens and use
  the splitting of rectangular grids into quincunx grids, also known
  as red-black ordering. The prediction filters include linear
  filters (Neville orders of increasing order) as well as a few
  nonlinear filters which preserve local maxima or minima.

  ===================================================================

                  This is Version 1.2, November 28, 2003.
             Updates and extensions of the code are reported
                        in the log-book below.

  ===================================================================

  DOWNLOAD

  One can download LISQ.zip and/or LISQ.tar.Z from the URL:

  http://ftp.cwi.nl/pauldz/Codes/LISQ/

  These files include the m-files of LISQ, the file README and a few
  example images.

  LISQ.zip   is particularly suited for unwrapping on Windows
             platforms, but can also be unwrapped on many Linux/Unix
             platforms as follows
             mkdir LISQ
             unzip LISQ.zip -d ./LISQ

  LISQ.tar.Z is particularly suited for unwrapping on Linux/Unix
             platforms, e.g.
             zcat LISQ.tar.Z | tar xvf -

  ===================================================================

  EXAMPLES

  example00.m ... example10.m, exampleIF.m correspond to the report
  below. File exampleIF.m offers both an elaborate and illuminating
  example (with respect to image fusion) of how to use LISQ.
  File exampleTH.m (not in the report) is an example where details
  (below a treshold) are discarded.
  File example11.m (not in the report) shows how to depict the
  integral all-scales display of the decomposition by the Quincunx
  Lifting Scheme.

  ===================================================================

  REPORT

  P.M. de Zeeuw,
  A Toolbox for the Lifting Scheme on Quincunx Grids (LISQ),
  CWI Report PNA-R0224,
  Centrum voor Wiskunde en Informatica,
  Amsterdam, 2002.

  This report is readily available as:
    http://ftp.cwi.nl/CWIreports/PNA/PNA-R0224.pdf
  or
    http://ftp.cwi.nl/CWIreports/PNA/PNA-R0224.ps.Z

  ===================================================================

  IMPORTANT NOTE

  Any result obtained by LISQ (the code) or part of it, and published
  in any publication whatsoever, electronically or otherwise, has to
  make reference to the above report.

  ===================================================================

  ERRATA

  CWI Report PNA-R0224
  Page  Line  Correction
   16     2   "square grid" ==> "rectangular grid"

  ===================================================================

  CONTACT

  Feel free to consult me, but I cannot guarantee swift answers.

  Dr. P.M. de Zeeuw          E-mail:  [EMAIL PROTECTED]
  CWI - PNA4                          http://homepages.cwi.nl/~pauldz/
  P.O. Box 94079
  NL - 1090 GB Amsterdam

  Good luck!
            Paul de Zeeuw

 ===================================================================

  VITAE

  Dr. Paul M. de Zeeuw studied mathematics and computer science
  at the University of Leiden. Since 1979 he works at the National
  Research Institute for Mathematics and Computer Science (CWI) in
  Amsterdam where he authored and co-authored many papers on multigrid
  methods for the solution of partial differential equations.
  In 1990 he was author for the Dutch Open University on the subject of
  numerical linear algebra. From 1997 till 2002 he was the secretary
  the Dutch-Flemish Numerical Analysis Society. His current occupation
  involves scientific programming and applications of multiresolution
  methods. His research interests include numerical methods for image
  processing.

  URL: http://homepages.cwi.nl/~pauldz/

  ===================================================================

  LOG-BOOK

  January 29, 2003.
  Installation of the first publicly available version of LISQ.

  February 18, 2003.
  The filternames 'minmin' and 'maxmax' have been added to the already
  present filtername 'maxmin' (all three repesent nonlinear filters).
  exampleTH.m (an example on thresholding details) has been added.
  Also revamping of the older examples has taken place.

  February 26, 2003.
  File printshop.m has been updated.

  April 7, 2003.
  The comments in rota0011fill.m and rota1001fill.m have been updated
  (the code was correct but the comments were obsolete).

  November 24, 2003.
  The functions intensim(), imequi() and QLsuperimage() have been added.
  They facilitate the integral all-scales display of the decomposition
  by the Quincunx Lifting Scheme, see example11.m which has also been
  added.
  File printshop.m has been updated.
  Links to CWI webpages have been updated in the file README.

  November 28, 2003.
  File printshop.m has been updated in the sense that one can do
  without the Image Processing Toolbox.

  ===================================================================



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