function [a1,a2,a3,ww,b1,b2,b3,zz] = pwa3sym(N,pat,tp)% pwa3sym - get position information% -----------------% INPUT% --% N -- size% --% pat specifies the type of frequency partition which satsifies% parabolic scaling relationship. pat can either be 'p' or 'q'.% --% tp is the type of tranform.% 	'ortho': orthobasis% -----------------% OUTPUT% --% a1,a2,a3 are arrays that contain the centers of the wave atoms% in spatial domain.% --% ww is an array that contains the widths of the wave atoms% in spatial domain.% --% b1,b2,b3 are arrays that contain the centers of the wave atoms% in frequency domain.% --% zz is an array that contains the widths of the wave atoms% in frequency domain.% --% -----------------% Written by Lexing Ying and Laurent Demanet, 2007    if( ismember(tp, {'ortho','directional','complex'})==0 | ismember(pat, {'p','q','u'})==0 )    error('wrong');  end    [x1,x2,x3,w,k1,k2,k3,z] = pwa3(N,pat,tp);  a1 = zeros(N,N,N);  a2 = zeros(N,N,N);  a3 = zeros(N,N,N);  ww = zeros(N,N,N);  b1 = zeros(N,N,N);  b2 = zeros(N,N,N);  b3 = zeros(N,N,N);  zz = zeros(N,N,N);    for s=1:length(x1)    D = 2^s;    nw = length(x1{s});    for I=0:nw-1      for J=0:nw-1        for K=0:nw-1          if(~isempty(x1{s}{I+1,J+1,K+1}))            a1( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = x1{s}{I+1,J+1,K+1};            a2( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = x2{s}{I+1,J+1,K+1};            a3( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = x3{s}{I+1,J+1,K+1};            ww( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = w{ s}{I+1,J+1,K+1};                        b1( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = k1{s}{I+1,J+1,K+1};            b2( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = k2{s}{I+1,J+1,K+1};            b3( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = k3{s}{I+1,J+1,K+1};            zz( I*D+[1:D], J*D+[1:D], K*D+[1:D]) = z{ s}{I+1,J+1,K+1};          end        end      end    end  end