"Towards Visual Inertial Navigation with Fixed Tetrahedral Targets" by Joao Leonardo Silva Cotta

Date of Award

5-2025

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Aerospace, Physics, and Space Sciences

First Advisor

Hector M. Gutierrez

Second Advisor

Reza Jahanbakhshi

Third Advisor

Chelakara S. Subramanian

Fourth Advisor

Kim-Doang Nguyen

Abstract

This dissertation presents a robust method for 6DoF position estimation under impaired visual conditions utilizing a minimum 4-point Perspective-n-Point (P4P) solver designed for tetrahedral targets. Using SO(3) × R 3 instead of SE(3), the method uses a Lie group-based formulation to discriminate between rotation and translation, thereby enabling computationally efficient, resource-conscious op- optimization while preserving correct geometric behavior. Designed using the contemporary C++17 library ShomerTarget, the solver is analytically formulated and assessed under pragmatic robotic conditions. Particularly in low-light and high-dynamic environments, experiments on embedded systems, UAVs, and NASA’s Astrobee show that the proposed solver attains enhanced accuracy compared to conventional conic-based and faster runtime than automatic differentiation solvers. Furthermore, the system is compatible with hybrid VINS, optimization-based (Astrobee), and filter-based (MSCKF) pipelines, enhancing resistance to motion blur and texture degradation. This work offers an open-source, modular, efficient P4P solver architecture suitable for real-time localization under visual deterioration.

Available for download on Sunday, May 10, 2026

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