Full explicit consistency constraints in uncalibrated multiple homography estimation

TL;DR

This paper identifies a comprehensive set of constraints for ensuring that multiple 3x3 matrices are valid homographies between two views, improving estimation accuracy and deepening understanding of the task.

Contribution

It introduces a complete set of explicit constraints for multiple homography matrices and demonstrates how to leverage them for more accurate estimations.

Findings

Revealed a full set of constraints for homography matrices.

Enhanced accuracy in homography estimation using the constraints.

Provided new theoretical insights into multiple homography estimation.

Abstract

We reveal a complete set of constraints that need to be imposed on a set of 3-by-3 matrices to ensure that the matrices represent genuine homographies associated with multiple planes between two views. We also show how to exploit the constraints to obtain more accurate estimates of homography matrices between two views. Our study resolves a long-standing research question and provides a fresh perspective and a more in-depth understanding of the multiple homography estimation task.