# Self-Calibration of Cameras with Euclidean Image Plane in Case of Two Views and Known Relative Rotation Angle

@inproceedings{Martyushev2018SelfCalibrationOC, title={Self-Calibration of Cameras with Euclidean Image Plane in Case of Two Views and Known Relative Rotation Angle}, author={Evgeniy Martyushev}, booktitle={European Conference on Computer Vision}, year={2018} }

The internal calibration of a pinhole camera is given by five parameters that are combined into an upper-triangular $3\times 3$ calibration matrix. If the skew parameter is zero and the aspect ratio is equal to one, then the camera is said to have Euclidean image plane. In this paper, we propose a non-iterative self-calibration algorithm for a camera with Euclidean image plane in case the remaining three internal parameters --- the focal length and the principal point coordinates --- are fixed…

## 6 Citations

### Efficient Relative Pose Estimation for Cameras and Generalized Cameras in Case of Known Relative Rotation Angle

- Computer ScienceJournal of Mathematical Imaging and Vision
- 2020

Two minimal solvers to the problem of relative pose estimation for a camera with known relative rotation angle are proposed and can be used in a hypothesize-and-test architecture such as RANSAC for reliable pose estimation.

### Efficient Relative Pose Estimation for Cameras and Generalized Cameras in Case of Known Relative Rotation Angle

- Computer ScienceJournal of Mathematical Imaging and Vision
- 2020

Two minimal solvers to the problem of relative pose estimation for a camera with known relative rotation angle are proposed and can be used in a hypothesize-and-test architecture such as RANSAC for reliable pose estimation.

### Relative Pose Estimation of Calibrated Cameras with Known $\mathrm {SE}(3)$ Invariants

- MathematicsECCV
- 2020

This paper presents a complete comprehensive study of the relative pose estimation problem for a calibrated camera constrained by known $\mathrm{SE}(3)$ invariant, which involves 5 minimal problems in total and improves the estimation efficiency and robustness.

### Relative Pose Estimation of Calibrated Cameras with Known SE(3) Invariants

- Mathematics
- 2020

The SE(3) invariants of a pose include its rotation angle and screw translation. In this paper, we present a complete comprehensive study of the relative pose estimation problem for a calibrated…

### Self-Calibration of the Descent Camera of the Tianwen-1 Probe

- Computer ScienceSN Computer Science
- 2022

The self-calibration method for descent camera based on the structure from motion (SfM) is proposed and the relative orientation model of the oblique and the vertical baselines is proposed in order to provide the accurate initial value.

### Optimizing Elimination Templates by Greedy Parameter Search

- Computer Science2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)
- 2022

A new method is proposed for constructing elimination templates for efficient polynomial system solving of minimal problems in structure from motion, image matching, and camera tracking using a heuristic greedy optimization strategy over the space of parameters to get a template with a small size.

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