4 papers
On the Instability of Relative Pose Estimation and RANSAC's Role
Hongyi Fan, Joe Kileel, Benjamin Kimia
In this paper we study the numerical instabilities of the 5- and 7-point problems for essential and fundamental matrix estimation in multiview geometry. In both cases we characteri…
Benchmarking Pedestrian Odometry: The Brown Pedestrian Odometry Dataset (BPOD)
David Charatan, Hongyi Fan, Benjamin Kimia
We present the Brown Pedestrian Odometry Dataset (BPOD) for benchmarking visual odometry algorithms in head-mounted pedestrian settings. This dataset was captured using synchronize…
GPU-Based Homotopy Continuation for Minimal Problems in Computer Vision
Chiang-Heng Chien, Hongyi Fan, Ahmad Abdelfattah +3
Systems of polynomial equations arise frequently in computer vision, especially in multiview geometry problems. Traditional methods for solving these systems typically aim to elimi…
Trifocal Relative Pose from Lines at Points and its Efficient Solution
Ricardo Fabbri, Timothy Duff, Hongyi Fan +8
We present a method for solving two minimal problems for relative camera pose estimation from three views, which are based on three view correspondences of i) three points and one…