[SOLVED] CS fprintf( -n );

fprintf( –
);
fprintf( Q 1
);
fprintf( –
);
nx = 640;
ny = 480;
T_cann_from_screen = [ 2/nx 0 -(1-1/nx);
0 -2/ny (1-1/ny);
0 0 1 ]
ptA = [ 10 35 1 ];
ptB = [ 50 340 1 ];

ptA_cann = T_cann_from_screen * ptA;
ptB_cann = T_cann_from_screen * ptB;

fprintf( Click A =
)
fprintf( [ %5.2f %5.2f ]^T
, ptA_cann(1:2) );
fprintf( Click B =
)
fprintf( [ %5.2f %5.2f ]^T
, ptB_cann(1:2) );

% Try this to convince yourself that its is correct:
% inv(T_cann_from_screen)

clear all;

fprintf( –
);
fprintf( Q 2
);
fprintf( –
);
eyeVec = [ 5 1 3 ];
atVec = [ -1 -1 -6 ];
upVec = [ 0 0 1];

gazeVec = atVec-eyeVec;
w = -gazeVec/norm(gazeVec,2);
u = cross( upVec, w )/norm(upVec,2);
v = cross( w, u );

fprintf( u =
)
fprintf( [ %5.2f %5.2f %5.2f ]^T
, u );
fprintf( v =
)
fprintf( [ %5.2f %5.2f %5.2f ]^T
, v );
fprintf( w =
)
fprintf( [ %5.2f %5.2f %5.2f ]^T
, w );
fprintf(
)

M_v = [ u -dot(u,eyeVec);
v -dot(v,eyeVec);
w -dot(w,eyeVec);
0 0 0 1 ];

fprintf( Therefore M_v =
)
fprintf( %5.2f %5.2f %5.2f %5.2f
, (M_v) );
fprintf(

)
clear all;

fprintf( –
);
fprintf( Q 3
);
fprintf( –
);

% Viewing frustum from question
n_p = -5;
l_p = -3;
b_p = -1;
r_p = l_p + 5;
t_p = b_p + 5;
f_p = n_p 10;

% Open GL projection matrix set with glFrustum
MOpenGLProj = [ 2*abs(n_p)/(r_p-l_p) 0 (r_p+l_p)/(r_p-l_p) 0;
0 2*abs(n_p)/(r_p-l_p) (t_p+b_p)/(t_p-b_p) 0;
0 0 (abs(n_p)+abs(f_p))/(abs(n_p)-abs(f_p)) 2*abs(n_p)*abs(f_p)/(abs(n_p)-abs(f_p));
0 0 -1 0 ];

% Scene points to be projected
a1 = transpose([ 2 -1 -5 1 ]);
a2 = transpose([ -9 12 -15 1 ]);

% Points in homogenous canonical volume coordinates
a1Proj_homogeneous = MOpenGLProj * a1;
a2Proj_homogeneous = MOpenGLProj * a2;

% Points in cartesian canonical volume coordinates
a1Proj = a1Proj_homogeneous(1:3)/a1Proj_homogeneous(4);
a2Proj = a2Proj_homogeneous(1:3)/a2Proj_homogeneous(4);

fprintf( Points in cartesian canonical viewing volume:
)
fprintf( [ %5.2f %5.2f %5.2f ]^T
, a1Proj );
fprintf( [ %5.2f %5.2f %5.2f ]^T
, a2Proj );
fprintf(

)
clear all;