📄 neviller2q.m
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function [NR, center] = NevilleR2Q(order)%------------------------------------------------------------------------------%% The most simple version: R -> Q (R2Q) and downsampling over 1 level%% Creates stencil corresponding to Quincunx Neville filters.%% Reference: v % Jelena Kovacevic' and Wim Sweldens% IEEE Transactions on Image Processing, 1999.% (see esp. Table 2, p.18)%% See also: stencilR2Q%% Design and implementation by:% Dr. Paul M. de Zeeuw <Paul.de.Zeeuw@cwi.nl> http://homepages.cwi.nl/~pauldz/% Last Revision: January 23, 2001.% Copyright 2001-2002 Stichting CWI, Amsterdam%------------------------------------------------------------------------------if order == 2 n = 3; NR = zeros(n);% (1) NR( 1, 2) = 1; NR( 2, 1) = 1; NR( 2, 3) = 1; NR( 3, 2) = 1;% NR = NR/(2^2); center = [(n+1)/2 (n+1)/2];%----------------------------elseif order == 4 n = 5; NR = zeros(n);% (1) NR(1+1, 1+2) = 10; NR(1+2, 1+1) = 10; NR(1+2, 1+3) = 10; NR(1+3, 1+2) = 10;% (2) NR( 1, 2) = -1; NR( 1, 4) = -1; NR( 2, 5) = -1; NR( 4, 5) = -1; NR( 5, 2) = -1; NR( 5, 4) = -1; NR( 2, 1) = -1; NR( 4, 1) = -1;% NR = NR/(2^5); center = [(n+1)/2 (n+1)/2];%----------------------------elseif order == 6 n = 7; NR = zeros(n);% (1) NR(2+1, 2+2) = 174; NR(2+2, 2+1) = 174; NR(2+2, 2+3) = 174; NR(2+3, 2+2) = 174;% (2) NR(1+1, 1+2) = -27; NR(1+1, 1+4) = -27; NR(1+2, 1+5) = -27; NR(1+4, 1+5) = -27; NR(1+5, 1+2) = -27; NR(1+5, 1+4) = -27; NR(1+2, 1+1) = -27; NR(1+4, 1+1) = -27;% (3) NR( 1, 4) = 2; NR( 4, 7) = 2; NR( 7, 4) = 2; NR( 4, 1) = 2;% (4) NR( 1, 2) = 3; NR( 1, 6) = 3; NR( 2, 7) = 3; NR( 6, 7) = 3; NR( 7, 2) = 3; NR( 7, 6) = 3; NR( 2, 1) = 3; NR( 6, 1) = 3;% NR = NR/(2^9); center = [(n+1)/2 (n+1)/2];%----------------------------elseif order == 8 n =11; NR = zeros(n);% (1) NR(4+1, 4+2) = 23300; NR(4+2, 4+1) = 23300; NR(4+2, 4+3) = 23300; NR(4+3, 4+2) = 23300;% (2) NR(3+1, 3+2) = -4470; NR(3+1, 3+4) = -4470; NR(3+2, 3+5) = -4470; NR(3+4, 3+5) = -4470; NR(3+5, 3+2) = -4470; NR(3+5, 3+4) = -4470; NR(3+2, 3+1) = -4470; NR(3+4, 3+1) = -4470;% (3) NR(2+ 1, 2+ 4) = 625; NR(2+ 4, 2+ 7) = 625; NR(2+ 7, 2+ 4) = 625; NR(2+ 4, 2+ 1) = 625;% (4) NR(2+ 1, 2+ 2) = 850; NR(2+ 1, 2+ 6) = 850; NR(2+ 2, 2+ 7) = 850; NR(2+ 6, 2+ 7) = 850; NR(2+ 7, 2+ 2) = 850; NR(2+ 7, 2+ 6) = 850; NR(2+ 2, 2+ 1) = 850; NR(2+ 6, 2+ 1) = 850;% (5) NR( 2, 5) = -75; NR( 2, 7) = -75; NR( 5,10) = -75; NR( 7,10) = -75; NR(10, 5) = -75; NR(10, 7) = -75; NR( 5, 2) = -75; NR( 7, 2) = -75;% (6) NR( 1, 6) = 9; NR( 6,11) = 9; NR(11, 6) = 9; NR( 6, 1) = 9;% (7) NR( 2, 3) = -80; NR( 2, 9) = -80; NR( 3,10) = -80; NR( 9,10) = -80; NR(10, 3) = -80; NR(10, 9) = -80; NR( 3, 2) = -80; NR( 9, 2) = -80;% NR = NR/(2^16); center = [(n+1)/2 (n+1)/2];%----------------------------else error(' Neville - order other than 2 4 6 8 not available ')end%------------------------------------------------------------------------------
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