Two view constraints on the epipoles from few correspondences

TL;DR

This paper introduces a novel approach using cross ratio invariance to relate epipoles and points, reducing the number of correspondences needed for epipolar geometry when some epipole information is known.

Contribution

It presents a new formulation leveraging cross ratio invariance to constrain epipoles, enabling fewer point correspondences for epipolar geometry estimation.

Findings

Reduces point correspondences from 7 to fewer when epipole info is available.

Demonstrates application in a buddy search app.

Provides a simple, practical formulation for epipole constraints.

Abstract

In general it requires at least 7 point correspondences to compute the fundamental matrix between views. We use the cross ratio invariance between corresponding epipolar lines, stemming from epipolar line homography, to derive a simple formulation for the relationship between epipoles and corresponding points. We show how it can be used to reduce the number of required points for the epipolar geometry when some information about the epipoles is available and demonstrate this with a buddy search app.