I've read a paper on a proposed algorithm to calibrate a camera for intrinsic and extrinsic parameters.
First step of the algorithm is to estimate the rotation and translation of camera relative to the test grid, which can be expressed in the following way:
The author then proposes that after solving an over determined set of linear equations, one gets a set of 5 ratios from which one may fully get the rotation and translation matrix.
Unless I'm missing something, I can't understand how. Some assistance\pointers please?
I know I'm directed to another article, but right now I'm out of my budget to purchase it, and I'm assuming the solution to my question is relatively simple.
EDIT: I infer from what the author wrote that he suggests that the 6 unknowns in the 5 ratios can be solved because 4 out of the 6 are elements in the same rotation matrix, which all depend on the same 3 angles of rotation - which means that you can substitute the 4 unknowns rotation elements with 3 unknown angles, which gives you 5 unknowns for 5 equations.
Some typical googling brought what I think to be a standard model of the rotation matrix which depends on 3 rotation angles (can someone verify this?):
Is this the right direction? Is there a way to get the 3 rotation angles from this model and the equations in (8)?