# The multidegree of the multi-image variety

## TL;DR

This paper computes the multidegree of the multi-image variety, a mathematical model for multiple rational cameras, by analyzing its cohomology class within a product of Grassmannians.

## Contribution

It provides the first explicit calculation of the multidegree of the multi-image variety, linking algebraic geometry with multi-view camera models.

## Key findings

- Computed the cohomology class of the multi-image variety.
- Derived its multidegree in the Plücker embedding.
- Established a connection between algebraic geometry and multi-camera imaging models.

## Abstract

The multi-image variety is a subvariety of Gr(1,P^3)^n that models taking pictures with n rational cameras. We compute its cohomology class in the cohomology of Gr(1,P^3)^n, and from there its multidegree as a subvariety of (P^5)^n under the Pl\"ucker embedding.