function [ result ] = so3_exp( x ) % compute the exponential mapping of R^3 to SO(3) % use sparse matrix N = size(x,1); %if N == 3 theta=norm(x); if theta==0 result=eye(3); else omega =x/theta; result=eye(3,3) + sin(theta) * skew(omega) + (1 - cos(theta))*skew(omega)^2; end %else % todo, compute exp() of R^6 to SE(3)? % m = (N-3)/3; % result=speye(3+m); % result(1:3,1:3)=Exp( x(1:3)); %end end