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Rational Radial Distortion Models with Analytical Undistortion Formulae

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TLDR
A new class of rational radial distortion models with easy analytical undistortion formulae is presented, and experimental results are presented to show that with this class ofrational radial distortion model, satisfactory and comparable accuracy is achieved.
Abstract
The common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-specific parameters into the camera model and requires estimation of these distortion parameters. The task of estimating radial distortion is to find a radial distortion model that allows easy undistortion as well as satisfactory accuracy. This paper presents a new class of rational radial distortion models with easy analytical undistortion formulae. Experimental results are presented to show that with this class of rational radial distortion models, satisfactory and comparable accuracy is achieved.

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Citations
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Proceedings ArticleDOI

Correcting radial distortion by circle fitting

TL;DR: This paper revisits the problem using the division model to parameterise the lens distortion, and demonstrates that the locus of distorted points from a straight line is a circular arc, which allows distortion estimation to be reformulated as circle-fitting for which many algorithms are available.
Proceedings ArticleDOI

Analytically solving radial distortion parameters

TL;DR: This article shows that the problem of determining the parameters of a radial distortion can be solved in a closed form, and presents an algorithm in which this is done and compares it to classic approaches.
Posted Content

A Family of Simplified Geometric Distortion Models for Camera Calibration

TL;DR: A simplified geometrical distortion modeling method by using two different radial distortion functions in the two image axes is proposed and the proposed geometric modeling method is more appropriate for cameras whose distortion is not perfectly radially symmetric around the center of distortion.
Journal ArticleDOI

Geometric and Photometric Consistency in a Mixed Video and Galvanoscopic Scanning Laser Projection Mapping System

TL;DR: A geometric calibration method to accurately register a galvanoscopic scanning laser projection system (GLP) based on 2D vector input data onto an arbitrarily complex 3D-shaped projection surface and a photometric calibration to unify the color appearance of GLPs and standard video projectors is presented.
Journal ArticleDOI

Three-Dimensional Digital Image Correlation Based on Speckle Pattern Projection for Non-Invasive Vibrational Analysis

TL;DR: In this article , the authors presented a methodology for full-field vibrational analysis at high frequencies using the three-dimensional digital image correlation technique combined with the projection of a speckle pattern.
References
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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.
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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.
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.
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Introductory Techniques for 3-D Computer Vision

TL;DR: A guide to well-tested theory and algorithms including solutions of problems encountered in modern computer vision, showing how fundamental problems are solved using both intensity and range images, the most popular types of images used today.
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