function [a1,ww,b1,zz] = pwa1sym(N,pat,tp)% pwa1sym - 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 is an array that contains 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 is an array that contains 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,w,k1,z] = pwa1(N,pat,tp);  a1 = zeros(N,1);  ww = zeros(N,1);  b1 = zeros(N,1);  zz = zeros(N,1);    for s=1:length(x1)    D = 2^s;    nw = length(x1{s});    for I=0:nw-1      if(~isempty(x1{s}{I+1}))        a1( I*D+[1:D] ) = x1{s}{I+1};        ww( I*D+[1:D] ) = w{ s}{I+1};                b1( I*D+[1:D] ) = k1{s}{I+1};        zz( I*D+[1:D] ) = z{ s}{I+1};      end    end  end