Abstract
We show how to use the Grassmann–Cayley algebra to model systems of one, two and three cameras. We start with a brief introduction of the Grassmann–Cayley or double algebra and proceed to demonstrate its use for modelling systems of cameras. In the case of three cameras, we give a new interpretation of the trifocal tensors and study in detail some of the constraints that they satisfy. In particular we prove that simple subsets of those constraints characterize the trifocal tensors, in other words, we give the algebraic equations of the manifold of trifocal tensors.
Royal Society Login
Sign in for Fellows of the Royal Society
Fellows: please access the online journals via the Fellows’ Room
Not a subscriber? Request a free trial
Log in using your username and password
Log in through your institution
Pay Per Article - You may access this article or this issue (from the computer you are currently using) for 30 days.
Regain Access - You can regain access to a recent Pay per Article or Pay per Issue purchase if your access period has not yet expired.
