Search Results for author: Timothy Duff

Found 10 papers, 3 papers with code

Trifocal Relative Pose from Lines at Points and its Efficient Solution

1 code implementation23 Mar 2019 Ricardo Fabbri, Timothy Duff, Hongyi Fan, Margaret Regan, David da Costa de Pinho, Elias Tsigaridas, Charles Wampler, Jonathan Hauenstein, Benjamin Kimia, Anton Leykin, Tomas Pajdla

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 the novel case of ii) three points and two lines through two of the points.

Pose Estimation

PLMP -- Point-Line Minimal Problems in Complete Multi-View Visibility

1 code implementation24 Mar 2019 Timothy Duff, Kathlén Kohn, Anton Leykin, Tomas Pajdla

We present a complete classification of all minimal problems for generic arrangements of points and lines completely observed by calibrated perspective cameras.

3D Reconstruction General Classification

PLMP - Point-Line Minimal Problems in Complete Multi-View Visibility

no code implementations ICCV 2019 Timothy Duff, Kathlen Kohn, Anton Leykin, Tomas Pajdla

We present a complete classification of all minimal problems for generic arrangements of points and lines completely observed by calibrated perspective cameras.

3D Reconstruction

PL${}_{1}$P -- Point-line Minimal Problems under Partial Visibility in Three Views

no code implementations10 Mar 2020 Timothy Duff, Kathlén Kohn, Anton Leykin, Tomas Pajdla

We present a complete classification of minimal problems for generic arrangements of points and lines in space observed partially by three calibrated perspective cameras when each line is incident to at most one point.

3D Reconstruction

Galois/monodromy groups for decomposing minimal problems in 3D reconstruction

no code implementations10 May 2021 Timothy Duff, Viktor Korotynskiy, Tomas Pajdla, Margaret H. Regan

We consider three classical cases--3-point absolute pose, 5-point relative pose, and 4-point homography estimation for calibrated cameras--where the decomposition and symmetries may be naturally understood in terms of the Galois/monodromy group.

3D Reconstruction Homography Estimation +1

Learning to Solve Hard Minimal Problems

1 code implementation CVPR 2022 Petr Hruby, Timothy Duff, Anton Leykin, Tomas Pajdla

The hard minimal problems arise from relaxing the original geometric optimization problem into a minimal problem with many spurious solutions.

An Atlas for the Pinhole Camera

no code implementations27 Jun 2022 Sameer Agarwal, Timothy Duff, Max Lieblich, Rekha Thomas

We introduce an atlas of algebro-geometric objects associated with image formation in pinhole cameras.

Algebra and Geometry of Camera Resectioning

no code implementations7 Sep 2023 Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas

We study algebraic varieties associated with the camera resectioning problem.

PL₁P - Point-line Minimal Problems under Partial Visibility in Three Views

no code implementations ECCV 2020 Timothy Duff, Kathlén Kohn, Anton Leykin, Tomas Pajdla

We present a complete classification of minimal problems for generic arrangements of points and lines in space observed partially by three calibrated perspective cameras when each line is incident to at most one point.

3D Reconstruction

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