7 citations · 12 across the 5 of their papers we have counts for
6 papers
Critical Points for Two-view Triangulation
Hon-Leung Lee
Two-view triangulation is a problem of minimizing a quadratic polynomial under an equality constraint. We derive a polynomial that encodes the local minimizers of this problem usin…
On the Existence of a Projective Reconstruction
Hon-Leung Lee
In this note we study the connection between the existence of a projective reconstruction and the existence of a fundamental matrix satisfying the epipolar constraints.
The Euclidean Distance Degree of Orthogonally Invariant Matrix Varieties
Dmitriy Drusvyatskiy, Hon-Leung Lee, Giorgio Ottaviani +1
We show that the Euclidean distance degree of a real orthogonally invariant matrix variety equals the Euclidean distance degree of its restriction to diagonal matrices. We illustra…
On the Existence of Epipolar Matrices
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels +1
This paper considers the foundational question of the existence of a fundamental (resp. essential) matrix given point correspondences in two views. We present a complete answer…
Counting real critical points of the distance to orthogonally invariant matrix sets
Dmitriy Drusvyatskiy, Hon-Leung Lee, Rekha R. Thomas
Minimizing the Euclidean distance to a set arises frequently in applications. When the set is algebraic, a measure of complexity of this optimization problem is its number of criti…
Certifying the Existence of Epipolar Matrices
Sameer Agarwal, Hon-leung Lee, Bernd Sturmfels +1
Given a set of point correspondences in two images, the existence of a fundamental matrix is a necessary condition for the points to be the images of a 3-dimensional scene imaged w…