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% % ===================================================================%% L I S Q% LISQ is a toolbox for the lifting scheme on two-dimensional grids% (rectangular and quincunx) and for the computation of moment% invariants.%% ===================================================================%% FUNCTIONS (selected)%% momentsupto3 is one of the main functions. After the computation of % central moments (upto 3rd order) it computes similitude% invariants, orthogonal invariants and invariants with % respect to similitude and orthogonal transforms combined.% Typically called as% [mass, mus, orthos, sims, simorthos] = momentsupto3(F);% For more information use the command% help momentsupto3% See also exampleHU.% QLiftDec2 - one of the main functions. It performs a multiresolution% 2D decomposition by the lifting scheme and involves % quincunx grids. Typically called as% [C, S] = QLiftDec2(X, N, filtername);% For more information use the command% help QLiftDec2% See also example04 or consult the report mentioned below.% QLiftRec2 - one of the main functions. It performs a multiresolution% 2D reconstruction by inverting the lifting scheme and % using quincunx grids. Typically called as% X = QLiftRec2(C, S, filtername);% For more information use the command% help QLiftRec2% See also example04 or consult the report mentioned below.%% Many subsidiary functions and expedient functions exist. See the % examples or consult the report mentioned below.%%% EXAMPLES %% exampleIF - an elaborate example with respect to multiresolution % image fusion, the source code includes lots of comments.% exampleTH - an elaborate example where details (below a certain % treshold) are discarded.% exampleHU - an elaborate example which demonstrates how (little)% the vector of invariants based on central moments % depends on either rotation or similitude transforms.% This example requires the Image Processing Toolbox.% example00 - this small technical example shows hows how to call for% the computation of central moments and invariants. % example01 - this small technical example performs a check on the % computation of central moments on a rectangular grid.% example02 - this small technical example demonstrates an expedient% for showing an image. % example03 - this small technical example shows how to call for the% multiresolution decomposition of an image and shows the% detailed bookkeeping. % example04 - this small technical example shows how to call for the% multiresolution reconstruction of an image after its % decomposition. % example05 - this small technical example shows how to ask for the% maximum number of levels in a decomposition. % example06 - this small technical example shows how to retrieve the% details on a quincunx grid, after a multiresolution % decomposition has been performed. % example07 - this small technical example shows how to retrieve the% details on a rectangular grid, after a multiresolution% decomposition has been performed. % example08 - this small technical example demonstrates how to show% the details on the rotated quincunx grid. % example09 - this small technical example performs a check on the% computation of certain central moments on a quincunx % grid.% example10 - this small technical example shows how a gridfunction% constituting part of a quincunx grid is stored.% example11 - this small technical example demonstrates how to show an% all-scales image of the multiresolution decomposition.%% ===================================================================%% REPORT (also manual)%% 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%% % ERRATA%% Page Line Correction% 16 2 "square grid" should be "rectangular grid"%% ===================================================================%% VERSION%% This is Version 1.3, December 21, 2006.%% ===================================================================%% COPYRIGHT and LICENSE%% Copyright (C) 1998-2007 Stichting CWI, Amsterdam, The Netherlands%% The above 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.%% ===================================================================
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