Title
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 present several implementations of this method and describe the experiments conducted to assess the validity of the new approach. Such an approach, non-iterative, using another polynomial expression, able to be deduced from the first one, can actually be interesting in terms of performance, reuse of existing software, or bridging between different existing software tools that do not consider distortion from the same point of view.
Year
DOI
Venue
2016
10.3390/s16060807
SENSORS
Keywords
Field
DocType
radial distortion,distortion correction,power series
Distortion (optics),Inverse,Applied mathematics,Reuse,Computer science,Bridging (networking),Theoretical computer science,Electronic engineering,Software,Power series,Distortion,Recursion
Journal
Volume
Issue
Citations 
16
6.0
4
PageRank 
References 
Authors
0.57
13
2
Name
Order
Citations
PageRank
Pierre Drap13613.29
Julien Lefèvre2327.22