Search Results for author: Anton Leykin

Found 6 papers, 3 papers with code

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

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.

Noetherian Operators in Macaulay2

no code implementations4 Jan 2021 Justin Chen, Yairon Cid-Ruiz, Marc Härkönen, Robert Krone, Anton Leykin

A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficients.

Commutative Algebra Algebraic Geometry 14-04, 14Q15, 13N05, 65L80, 65D05

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

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

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

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