pwa2sym.m

This package is a free collection of Matlab routines for computing wave atom transforms in one, two

function [a1,a2,ww,b1,b2,zz] = pwa2sym(N,pat,tp)
% pwa2sym - 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 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 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,w,k1,k2,z] = pwa2(N,pat,tp);
  a1 = zeros(N,N);  a2 = zeros(N,N);
  ww = zeros(N,N);
  b1 = zeros(N,N);  b2 = zeros(N,N);
  zz = zeros(N,N);
  
  for s=1:length(x1)
    D = 2^s;
    nw = length(x1{s});
    for I=0:nw-1
      for J=0:nw-1
        if(~isempty(x1{s}{I+1,J+1}))
          a1( I*D+[1:D], J*D+[1:D] ) = x1{s}{I+1,J+1};
          a2( I*D+[1:D], J*D+[1:D] ) = x2{s}{I+1,J+1};
          ww( I*D+[1:D], J*D+[1:D] ) = w{ s}{I+1,J+1};
          
          b1( I*D+[1:D], J*D+[1:D] ) = k1{s}{I+1,J+1};
          b2( I*D+[1:D], J*D+[1:D] ) = k2{s}{I+1,J+1};
          zz( I*D+[1:D], J*D+[1:D] ) = z{ s}{I+1,J+1};
        end
      end
    end
  end