Synchronization of Projective Transformations
Keywords: Projective Structure from Motion, Multiview geometry, Synchronization, Projectivity, Homography, Averaging
TL;DR: The paper presents an iterative scheme for synchronization of 4x4 Projective Transformations with the use of scale-invariant single-averaging methods. (Accepted at ECCV 2024))
Abstract: Synchronization involves the task of inferring unknown vertex values (belonging to a group) in a graph, from edges labeled with vertex relations. While many matrix groups (e.g., rotations or permutations) have received extensive attention in Computer Vision, a complete solution for projectivities is lacking. Only the $3 \times 3$ case has been addressed so far, by mapping the problem onto the Special Linear Group, but the $4 \times 4$ projective case has remained unexplored and is the focus here. We propose novel strategies to address this task, and demonstrate their effectiveness in synthetic experiments, as well as on an application to projective Structure from Motion.
Submission Number: 5
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