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Benjamin Kimia

5 accepted papers

2023

Minimal Solutions to Generalized Three-View Relative Pose Problem

ICCV 2023oral

For a generalized (or non-central) camera model, the minimal problem for two views of six points has efficient solvers. However, minimal problems of three views with four points and three views of six lines have not yet been explored and solved, despite the efforts from the computer vision community…

Cited by 8PDFScholar
2022

GPU-Based Homotopy Continuation for Minimal Problems in Computer Vision

CVPR 2022poster

Systems of polynomial equations arise frequently in computer vision, especially in multiview geometry problems. Traditional methods for solving these systems typically aim to eliminate variables to reach a univariate polynomial, e.g., a tenth-order polynomial for 5-point pose estimation, using cl…

Cited by 17PDFScholar
2020

TRPLP - Trifocal Relative Pose From Lines at Points

CVPR 2020poster

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 line and (ii) three points and two lines through two of the points. These problems are too difficult to be efficiently…

Cited by 26PDFcodeScholar