📄 perform_alpert_transform_1d.m
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function [w,info] = perform_alpert_transform_1d(v,pos,k, dir, options)
% perform_alpert_transform_1d - transform a 1D signal using a 1D Alpert basis.
%
% [w,info] = perform_alpert_transform_1d(v,pos,k, dir, options);
%
% 'v' is a 1D vector, the valued to transform.
% 'pos' is a 1D vector, pos(i) is the ith point.
% 'k' is the number of vanishing moments (1=>Haar, 2=>linear basis ...).
% 'dir' is 1 for fwd transform and -1 for bwd.
%
% 'w' is the transformed data.
% 'info' is a struct containing the localisation information for each
% basis Alpert vector.
% 'info.l' is the scale of the vector (0=coarse scale).
% 'info.n' is the space location of the vector.
% 'info.k' is the number of multiwavelet (in [1,...,k(1)*k(2)]).
%
% Copyright (c) 2004 Gabriel Peyr
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