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    Metadata details:
    filename: PrySDrec_onestep.m
    path of file: ./repos/CS_MoCo_LAB/reconstruction/matlab/CS_LAB_matlab/utils/utils_TRAFO/Shearlet/3DBP
    
    the code of the file until where you have to start completion: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%	SurfBox-MATLAB (c)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%%	Yue Lu and Minh N. Do
%%
%%	Department of Electrical and Computer Engineering
%%	Coordinated Science Laboratory
%%	University of Illinois at Urbana-Champaign
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%%	PyrSDrec_onestep.m
%%	
%%	First created: 10-11-05
%%	Last modified: 04-13-06
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

function rec = PrySDrec_onestep(Lp, Hp, w, tbw, D, smooth_func)

%   N-dimensional multiscale pyramid reconstruction - One Step
%
%   INPUT:
%
%   Lp: the lowpass subband in the Fourier domain with the symmetric part
%   removed along the last dimension.
%
%   Hp: the highpass subband in the Fourier domain with the symmetric part
%   removed along the last dimension.
%  
%   w: The ideal cutoff frequency of the lowpass subband. w is specified as a
%   fraction of PI, e.g. 0.5, 1/3, ....
%
%   tbw: Width of the transiti
    
function rec = PrySDrec_onestep(Lp, Hp, w, tbw, D, smooth_func)

%   N-dimensional multiscale pyramid reconstruction - One Step
%
%   INPUT:
%
%   Lp: the lowpass subband in the Fourier domain with the symmetric part
%   removed along the last dimension.
%
%   Hp: the highpass subband in the Fourier domain with the symmetric part
%   removed along the last dimension.
%  
%   w: The ideal cutoff frequency of the lowpass subband. w is specified as a
%   fraction of PI, e.g. 0.5, 1/3, ....
%
%   tbw: Width of the transition band, specified as a fraction of PI.
%
%   D: downsampling factor. For example, 1, 1.5, 2, ......
%   Note: D should divide the size of the FFT array.
%
%   smooth_func: function handle to generate the smooth passband theta
%   function
%
%   OUTPUT:
%
%   rec: the reconstructed signal in the Fourier domain. Note: Since the signal is
%   real-vaued in the spatial domain, we remove the symmetric part of rec 
%   along the last dimension to save computation time. This is important 
%   when rec is a large 3-D array. See ccsym.m for details.
%
%   Yue Lu and Minh N. Do
%   First Created: 10-11-05
%   Last Revision: 10-11-05
%

%% The dimension of the problem
N = ndims(Hp);
szX = size(Hp);

%% the original full size
szF = szX;
szF(end