I have a chessboard in two images with some angle of rotation. Lets find the rotation angle of second image with reference of first image.
For that I found the Rotation Matrix (3x3) and translation matrix (3x1) of those objects.
How can I find the Rotation Angle and Rotation Axis of object using those matrices?
For every type of conversion between rotation representations you have this website euclidean space.
You will find theory and code samples of:
Rotation matrix to quaternion: link
Quaternion to axis angle: link
Rotations in general and all representations: link
And in relation to your question you have Axis Angle. If you have the rotation matrix R (3x3), you can obtain the angle and axis this way (see Matrix to Axis Angle):
angle = acos(( R00 + R11 + R22 - 1)/2);
Axis x,y,x:
x = (R21 - R12)/sqrt((R21 - R12)^2+(R02 - R20)^2+(R10 - R01)^2);
y = (R02 - R20)/sqrt((R21 - R12)^2+(R02 - R20)^2+(R10 - R01)^2);
z = (R10 - R01)/sqrt((R21 - R12)^2+(R02 - R20)^2+(R10 - R01)^2);