On the Existence of a Projective Reconstruction

TL;DR

This paper explores the relationship between projective reconstruction and fundamental matrices in computer vision, providing insights into when a projective reconstruction exists based on epipolar constraints.

Contribution

It establishes a theoretical connection between the existence of projective reconstructions and fundamental matrices satisfying epipolar constraints.

Findings

Identifies conditions under which a projective reconstruction exists.

Links fundamental matrices to the feasibility of projective reconstruction.

Provides theoretical foundations for 3D reconstruction methods.

Abstract

In this note we study the connection between the existence of a projective reconstruction and the existence of a fundamental matrix satisfying the epipolar constraints.