New Efficient Solution to the Absolute Pose Problem for Camera with Unknown Focal Length and Radial Distortion

Bujnak, Martin; Kúkelová, Zuzana; Pajdla, Tomáš

doi:10.1007/978-3-642-19315-6_2

Cited by 58 publications

(65 citation statements)

References 16 publications

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“…• Applying the algebraic minimal problem solver by (Bujnak et al, 2011) and the associated proposed self-calibration method for images of only a few, but confirmed, co-planar points arranged in a grid pattern, and verifying its feasibility for this type of task up to a specific qualitative accuracy.…”

Section: Contributionsmentioning

confidence: 77%

“…For the remainder of the paper we assume zero skew, as was done by (Bujnak et al, 2011) and (Zhang, 2000).…”

Section: Camera Modelmentioning

confidence: 99%

“…The method by (Bujnak et al, 2011) uses the division model (Fitzgibbon, 2001) for radial distortion, which is given by…”

Section: Distortion Model For the Self-calibrationmentioning

confidence: 99%

“…Very recently, techniques originally described by (Triggs, 1999) were used by (Josephson and Byrod, 2009), and shortly after by (Bujnak et al, 2011) to state minimal problems that include modeling of non-linear effects, such as radial distortion.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we compare how the method by (Bujnak et al, 2011), used for self-calibration, fares against a traditional calibration method (Zhang, 2000) in terms of reprojection error. In order to do so, we use images of a calibration object, a regular grid of circular markers.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Quality Assessment of Self-Calibration with Distortion Estimation for Grid Point Images

Franjcic

Bondeson²

2014

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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ABSTRACT:Recently, a camera self-calibration algorithm was reported which solves for pose, focal length and radial distortion using a minimal set of four 2D-to-3D point correspondences. In this paper, we present an empirical analysis of the algorithm's accuracy using highfidelity point correspondences. In particular, we use images of circular markers arranged in a regular planar grid, obtain the centroids of the marker images, and pass those as input point correspondences to the algorithm. We compare the resulting reprojection errors against those obtained from a benchmark calibration based on the same data. Our experiments show that for low-noise point images the self-calibration technique performs at least as good as the benchmark with a simplified distortion model.

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Section: Contributionsmentioning

confidence: 77%

“…For the remainder of the paper we assume zero skew, as was done by (Bujnak et al, 2011) and (Zhang, 2000).…”

Section: Camera Modelmentioning

confidence: 99%

“…The method by (Bujnak et al, 2011) uses the division model (Fitzgibbon, 2001) for radial distortion, which is given by…”

Section: Distortion Model For the Self-calibrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quality Assessment of Self-Calibration with Distortion Estimation for Grid Point Images

Franjcic

Bondeson²

2014

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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A Minimal Closed-Form Solution for Multi-perspective Pose Estimation using Points and Lines

Miraldo

Dias

Ramalingam

2018

Computer Vision – ECCV 2018

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We propose a minimal solution for pose estimation using both points and lines for a multi-perspective camera. In this paper, we treat the multi-perspective camera as a collection of rigidly attached perspective cameras. These type of imaging devices are useful for several computer vision applications that require a large coverage such as surveillance, self-driving cars, and motion-capture studios. While prior methods have considered the cases using solely points or lines, the hybrid case involving both points and lines has not been solved for multi-perspective cameras. We present the solutions for two cases. In the first case, we are given 2D to 3D correspondences for two points and one line. In the later case, we are given 2D to 3D correspondences for one point and two lines. We show that the solution for the case of two points and one line can be formulated as a fourth degree equation. This is interesting because we can get a closed-form solution and thereby achieve high computational efficiency. The later case involving two lines and one point can be mapped to an eighth degree equation. We show simulations and real experiments to demonstrate the advantages and benefits over existing methods.

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A Consistently Fast and Globally Optimal Solution to the Perspective-n-Point Problem

Terzakis¹,

Lourakis

2020

Lecture Notes in Computer Science

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An approach for estimating the pose of a camera given a set of 3D points and their corresponding 2D image projections is presented. It formulates the problem as a non-linear quadratic program and identifies regions in the parameter space that contain unique minima with guarantees that at least one of them will be the global minimum. Each regional minimum is computed with a sequential quadratic programming scheme. These premises result in an algorithm that always determines the global minima of the perspective-n-point problem for any number of input correspondences, regardless of possible coplanar arrangements of the imaged 3D points. For its implementation, the algorithm merely requires ordinary operations available in any standard off-the-shelf linear algebra library. Comparative evaluation demonstrates that the algorithm achieves state-of-the-art results at a consistently low computational cost.

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New Efficient Solution to the Absolute Pose Problem for Camera with Unknown Focal Length and Radial Distortion

Cited by 58 publications

References 16 publications

Quality Assessment of Self-Calibration with Distortion Estimation for Grid Point Images

Quality Assessment of Self-Calibration with Distortion Estimation for Grid Point Images

A Minimal Closed-Form Solution for Multi-perspective Pose Estimation using Points and Lines

A Consistently Fast and Globally Optimal Solution to the Perspective-n-Point Problem

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