function [WTr] = computeReferencePose(Dy, Ry, Rz, Dh, Dn) % computeReferencePose - Compute the homogeneous transformation matrix corresponding to the wanted pose of the sample % % Syntax: [WTr] = computeReferencePose(Dy, Ry, Rz, Dh, Dn) % % Inputs: % - Dy - Reference of the Translation Stage [m] % - Ry - Reference of the Tilt Stage [rad] % - Rz - Reference of the Spindle [rad] % - Dh - Reference of the Micro Hexapod (Pitch, Roll, Yaw angles) [m, m, m, rad, rad, rad] % - Dn - Reference of the Nano Hexapod [m, m, m, rad, rad, rad] % % Outputs: % - WTr - %% Translation Stage Rty = [1 0 0 0; 0 1 0 Dy; 0 0 1 0; 0 0 0 1]; %% Tilt Stage - Pure rotating aligned with Ob Rry = [ cos(Ry) 0 sin(Ry) 0; 0 1 0 0; -sin(Ry) 0 cos(Ry) 0; 0 0 0 1]; %% Spindle - Rotation along the Z axis Rrz = [cos(Rz) -sin(Rz) 0 0 ; sin(Rz) cos(Rz) 0 0 ; 0 0 1 0 ; 0 0 0 1 ]; %% Micro-Hexapod Rhx = [1 0 0; 0 cos(Dh(4)) -sin(Dh(4)); 0 sin(Dh(4)) cos(Dh(4))]; Rhy = [ cos(Dh(5)) 0 sin(Dh(5)); 0 1 0; -sin(Dh(5)) 0 cos(Dh(5))]; Rhz = [cos(Dh(6)) -sin(Dh(6)) 0; sin(Dh(6)) cos(Dh(6)) 0; 0 0 1]; Rh = [1 0 0 Dh(1) ; 0 1 0 Dh(2) ; 0 0 1 Dh(3) ; 0 0 0 1 ]; Rh(1:3, 1:3) = Rhz*Rhy*Rhx; %% Nano-Hexapod Rnx = [1 0 0; 0 cos(Dn(4)) -sin(Dn(4)); 0 sin(Dn(4)) cos(Dn(4))]; Rny = [ cos(Dn(5)) 0 sin(Dn(5)); 0 1 0; -sin(Dn(5)) 0 cos(Dn(5))]; Rnz = [cos(Dn(6)) -sin(Dn(6)) 0; sin(Dn(6)) cos(Dn(6)) 0; 0 0 1]; Rn = [1 0 0 Dn(1) ; 0 1 0 Dn(2) ; 0 0 1 Dn(3) ; 0 0 0 1 ]; Rn(1:3, 1:3) = Rnx*Rny*Rnz; %% Total Homogeneous transformation WTr = Rty*Rry*Rrz*Rh*Rn; end