A Direct Approach to Viewing Graph Solvability
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F25%3A00388108" target="_blank" >RIV/68407700:21730/25:00388108 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-73232-4_18" target="_blank" >https://doi.org/10.1007/978-3-031-73232-4_18</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-73232-4_18" target="_blank" >10.1007/978-3-031-73232-4_18</a>
Alternative languages
Result language
angličtina
Original language name
A Direct Approach to Viewing Graph Solvability
Original language description
The viewing graph is a useful way to represent uncalibrated cameras and their geometric relationships: nodes correspond to cameras and edges represent fundamental matrices. By analyzing this graph, it is possible to establish if the problem is “solvable” in the sense that there exists a unique (up to a single projective transformation) set of cameras that are compliant with the given fundamental matrices. In this paper, we take several steps forward in the study of viewing graph solvability: we propose a new formulation of the problem that is more direct than previous literature, based on a formula that explicitly links pairs of cameras via their fundamental matrix; we introduce the new concept of “infinitesimal solvability”, demonstrating its usefulness in understanding real structure from motion graphs; we propose an algorithm for testing infinitesimal solvability and extracting components of unsolvable cases, that is more efficient than previous work; we set up an open question on the connection between infinitesimal solvability and solvability.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotics and advanced industrial production</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Computer Vision – ECCV 2024 18th European Conference, Milan, Italy, September 29–October 4, 2024, Proceedings, Part I
ISBN
978-3-031-73231-7
ISSN
0302-9743
e-ISSN
1611-3349
Number of pages
16
Pages from-to
319-334
Publisher name
Springer
Place of publication
Cham
Event location
Milano
Event date
Sep 29, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001346378300018