perform_pyramid_transform_nonframe.m

小波提升算法的实现

function y = perform_pyramid_transform_nonframe(x,g,options)

% perform_pyramid_transform_nonframe - fast pyramidal transform (1D or 2D).
%
%   You should use 'fwt_pyramid' instead.
%   The forward transform are the same for 'fwt_pyramid_nonframe'
%   and for 'fwt_pyramid' but the reconstruction are
%   differents. 
%   'fwt_pyramid' use the real frame operator.
%
%   For more details, see 
%   M. N. Do and M. Vetterli, Framing pyramids. Submitted IEEE Transactions on Signal Processing, December 2001
%
% y = perform_pyramid_transform_nonframe(x,g,options);
%
%   'g' is a 1D low pass filter (orthogonal or not).
%   if 'x' is vector, (forward transform), then
%       'x' is a 1D or 2D signal.
%       'y' is a cell array, y{i} is the detail at level i (1=biggest one)
%           and y{end} is the low scale decomposition.
%   if 'x' is a cell array (backward transform) then 
%       'x' is a cell array, and 'y' is a 1D or 2D signal
%
%   NB : for backward transform, the value of 
%
%   'options' is a struct that can contains
%       - 'bound': boundary extension (eiter 'sym' or 'per').
%       - 'J': number of scale for the forward transform. 
%
%   Copyright (c) 2004 Gabriel Peyr