2016
DOI: 10.3390/s16060807
|View full text |Cite
|
Sign up to set email alerts
|

An Exact Formula for Calculating Inverse Radial Lens Distortions

Abstract: This article presents a new approach to calculating the inverse of radial distortions. The method presented here provides a model of reverse radial distortion, currently modeled by a polynomial expression, that proposes another polynomial expression where the new coefficients are a function of the original ones. After describing the state of the art, the proposed method is developed. It is based on a formal calculus involving a power series used to deduce a recursive formula for the new coefficients. We presen… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
36
0

Year Published

2017
2017
2023
2023

Publication Types

Select...
4
3
3

Relationship

0
10

Authors

Journals

citations
Cited by 62 publications
(40 citation statements)
references
References 26 publications
0
36
0
Order By: Relevance
“…If a set of parameters is assigned to each image, the bundle is called 'photo-variant' selfcalibration (Moniwa, 1981). All available processing software applications include various variants of additional parameters but the values of these parameters are generally not directly comparable (Drap and Lefevre, 2016). Indeed, they may be normalized to the focal length value and in some cases are provided as correction values, in others as proper distortion parameters.…”
Section: Adopted Terminologymentioning
confidence: 99%
“…If a set of parameters is assigned to each image, the bundle is called 'photo-variant' selfcalibration (Moniwa, 1981). All available processing software applications include various variants of additional parameters but the values of these parameters are generally not directly comparable (Drap and Lefevre, 2016). Indeed, they may be normalized to the focal length value and in some cases are provided as correction values, in others as proper distortion parameters.…”
Section: Adopted Terminologymentioning
confidence: 99%
“…For methodology (3), the calibration parameters obtained using FOTOGIFLE were imported into PhotoScan in Australis format (Fraser and Edmundson, ) and then transformed by PhotoScan into its own format. This process was necessary as the calibration parameters are defined differently in each software (Drap and Lefèvre, ).…”
Section: Methodsmentioning
confidence: 99%
“…We use a simple distortion model (such as the one in [18]) with one radial distortion parameter denoted by k in (19). Figure 3 shows the pincushion and barrel distortions, which depend on the parameter k. The rectangle shows the receptive field of the camera, which corresponds to the image in pixels, and the red crosses stand for the T targets to be sampled during calibration.…”
Section: Simulationsmentioning
confidence: 99%