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2025 | OriginalPaper | Chapter

A Direct Approach to Viewing Graph Solvability

Authors : Federica Arrigoni, Andrea Fusiello, Tomas Pajdla

Published in: Computer Vision – ECCV 2024

Publisher: Springer Nature Switzerland

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Abstract

The chapter delves into the fundamental task of reconstructing 3D scenes from multiple images and recovering cameras, a problem known as structure from motion. It discusses the theoretical properties of viewing graphs, which encode the problem of determining the uniqueness of camera configurations from fundamental matrices. The authors introduce a new formulation for viewing graph solvability that directly involves cameras and fundamental matrices, making it more intuitive and efficient. They also propose the concept of infinitesimal solvability, which allows for practical and computationally feasible testing of solvability. The chapter includes experimental results on synthetic and real datasets, demonstrating the effectiveness of the new approach. Additionally, it raises open research questions about the connection between infinitesimal solvability and finite solvability, inviting further exploration in the field.
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Metadata
Title
A Direct Approach to Viewing Graph Solvability
Authors
Federica Arrigoni
Andrea Fusiello
Tomas Pajdla
Copyright Year
2025
Book
Computer Vision – ECCV 2024

Print ISBN: 978-3-031-73231-7

Electronic ISBN: 978-3-031-73232-4

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-031-73232-4_18

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