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Camera calibration with distortion models and accuracy evaluation

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TLDR
A camera model that accounts for major sources of camera distortion, namely, radial, decentering, and thin prism distortions is presented and a type of measure is introduced that can be used to directly evaluate the performance of calibration and compare calibrations among different systems.
Abstract
A camera model that accounts for major sources of camera distortion, namely, radial, decentering, and thin prism distortions is presented. The proposed calibration procedure consists of two steps: (1) the calibration parameters are estimated using a closed-form solution based on a distribution-free camera model; and (2) the parameters estimated in the first step are improved iteratively through a nonlinear optimization, taking into account camera distortions. According to minimum variance estimation, the objective function to be minimized is the mean-square discrepancy between the observed image points and their inferred image projections computed with the estimated calibration parameters. The authors introduce a type of measure that can be used to directly evaluate the performance of calibration and compare calibrations among different systems. The validity and performance of the calibration procedure are tested with both synthetic data and real images taken by tele- and wide-angle lenses. >

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Journal ArticleDOI

A flexible new technique for camera calibration

TL;DR: A flexible technique to easily calibrate a camera that only requires the camera to observe a planar pattern shown at a few (at least two) different orientations is proposed and advances 3D computer vision one more step from laboratory environments to real world use.
Proceedings ArticleDOI

Flexible camera calibration by viewing a plane from unknown orientations

TL;DR: Compared with classical techniques which use expensive equipment, such as two or three orthogonal planes, the proposed technique is easy to use and flexible, and advances 3D computer vision one step from laboratory environments to real-world use.
Proceedings ArticleDOI

A four-step camera calibration procedure with implicit image correction

TL;DR: This paper presents a four-step calibration procedure that is an extension to the two-step method, and a linear method for solving the parameters of the inverse model is presented.
Journal ArticleDOI

Geometric camera calibration using circular control points

TL;DR: A calibration procedure for precise 3D computer vision applications is described that introduces bias correction for circular control points and a nonrecursive method for reversing the distortion model and indicates improvements in the calibration results in limited error conditions.
Journal ArticleDOI

Human movement analysis using stereophotogrammetry. Part 1: theoretical background.

TL;DR: An effort to systematize the different theoretical and experimental approaches to the problems involved and related nomenclatures is needed to facilitate data and knowledge sharing, and to provide renewed momentum for the advancement of human movement analysis.
References
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Journal ArticleDOI

A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses

TL;DR: In this paper, a two-stage technique for 3D camera calibration using TV cameras and lenses is described, aimed at efficient computation of camera external position and orientation relative to object reference coordinate system as well as the effective focal length, radial lens distortion, and image scanning parameters.
Book

A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses

Roger Y. Tsai
TL;DR: A new technique for three-dimensional camera calibration for machine vision metrology using off-the-shelf TV cameras and lenses using two-stage technique has advantage in terms of accuracy, speed, and versatility over existing state of the art.
Journal ArticleDOI

Techniques for calibration of the scale factor and image center for high accuracy 3-D machine vision metrology

TL;DR: Three groups of techniques for center calibration are presented: Group I requires using a laser and a four-degree-of-freedom adjustment of its orientation, but is simplest in concept and is accurate and reproducible; Group II is simple to perform,but is less accurate than the other two; and the most general, Group II, is accurate, but requires a good calibration plate and accurate image feature extraction of calibration points.