# Generalized q-Method Relative Pose Estimation for UAVs with Onboard Sensor Measurements

## TL;DR

This paper introduces a new method for estimating the position and orientation of UAVs using onboard sensors and a generalized version of the q-method.

## Contribution

The generalized q-method extends Davenport’s approach by incorporating inertial position and adapting it for UAVs.

## Key findings

- The generalized q-method accurately estimates UAV pose in controlled environments.
- Algorithm outputs are validated against truth data, showing robustness to sensor errors.
- The method eliminates assumptions specific to spacecraft applications.

## Abstract

The q-method for pose estimation utilizes on-board measurement vectors of reference objects to calculate air vehicle position and orientation with respect to an Inertial frame. This new method solves for the quaternion eigenvalue solution of the optimal pose to minimize the error in the derived system of equations. The generalized q-method extends Davenport’s q-method for satellite attitude estimation by incorporating inertial position into the relative model and eliminating assumptions throughout the derivation that require spacecraft applications. Thus, the pose estimation model is developed and implemented for UAV applications using an onboard camera to obtain measurements in a controlled environment. Combined with numerical methods, algorithm outputs for position and orientation are validated against truth data to prove accurate estimation despite sensor error.