?? ellipse_residual.m
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function [Y] = ellipse_residual (X, z, a, b, alpha);%ELLIPSE_RESIDUAL Computes the residual vector "X - ellipse"%% [Y] = ellipse_residual (X, z, a, b, alpha);% computes the residual vector "X - ellipse" in the% transformed system (rotated by -alpha).%% X: given points <X(i,1), X(i,2)>% z, a, b, alpha: ellipse parameters%% Y: residual vector "X - ellipse" for the transformed system.% <Y(i), Y(i+m)> difference vector for i-th point (m == nofpoints) s = sin(alpha); c = cos(alpha); Q = [c -s; s c]; x = [X(:,1) - z(1), X(:,2) - z(2)]*Q; phi = ellipse_phi (x, a, b); Y = x - [a*cos(phi), b*sin(phi)]; Y = [Y(:,1); Y(:,2)];end % ellipse_residual
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