INVFTCF
inverse of FtCF.
Contents
Description
Here F denotes the operator of the pseudo-polar transform and C is the weights on the pseudo-polar grid. Ft is F^* -- the adjoint.
X = INVFTCF(Y,K,C) slove the matrix inverse proble A X = Y with A being the operator F^*CF, where F is the pseudo-polar transform operator, C is the weighting matrix, and F^* is the adjoint of F. Use conjugate gradient method.
Examples
n = 20; R = 2;
x0 = randn(n);
C = ones(2,R*n+1,n+1);
y = ppFT(x0,R);
b = AdjppFT(y.*C,R);
x = InvFtCF(b,n,C);
err= norm(x-x0,'fro')/norm(x0,'fro')
err =
0.0219
See also
PPFT, ADJPPFT, FTCF, INVPPFTCG.
% Copyright (C) 2011. Xiaosheng Zhuang, University of Osnabrueck