  The multiview variety associated to a collection of $N$ cameras records which
sequences of image points in $\mathbb{P}^{2N}$ can be obtained by taking
pictures of a given world point $x\in\mathbb{P}^3$ with the cameras. In order
to reconstruct a scene from its picture under the different cameras it is
important to be able to find the critical points of the function which measures
the distance between a general point $u\in\mathbb{P}^{2N}$ and the multiview
variety. In this paper we calculate a specific degree $3$ polynomial that
computes the number of critical points as a function of $N$. In order to do
this, we construct a resolution of the multiview variety, and use it to compute
its Chern-Mather class.
