function V = build_alpert_matrix(x,k)

% build_alpert_matrix - build 1D Alpert basis
%   adapted for the sampling provided.
%
%   V = build_alpert_matrix(pos,k);
%
%   'pos' is a 1D vector, the location of the points.
%   'k' is the number of vanishing moments (1=>Haar, 2=>linear basis ...).
%   'V' is an orthogonal matrix, each column is a basis vector.
%
%   Copyright (c) 2004 Gabriel Peyr