function [x0] = gatx0( alpha, theta, mi, sigma )% GATX0 compute point x0 (Generalized Andeson's task).%  [x0] = gatx0( alpha, theta, mi, sigma )%% GATX0 computes a point on lying on the hyperplane having%  the shortest Mahalanobis distance from given Gaussian%  distribution (point mi and covariance matrix sigma).%% Input:%  alpha [Dx1] normal vector of hyperplane.%  theta [1x1] threshold of hyperplane.%  mi [Dx1] mean value vector.%  sigma [DxD] covariance matrix.%% Output:%  x0 [Dx1] found point.%% Statistical Pattern Recognition Toolbox, Vojtech Franc, Vaclav Hlavac
% (c) Czech Technical University Prague, http://cmp.felk.cvut.cz
% Written Vojtech Franc (diploma thesis) 24.10.1999, 27.02.2000
% Modifications:%  03-May-2001, V. Franc, createdx0 = mi - ((alpha' * mi ) - theta )*(sigma*alpha) / (alpha'*sigma*alpha);return;