Development, comparison, and evaluation of software for radial distortion elimination

Papadaki, Alexandra; Georgopoulos, A.

doi:10.1117/12.2184569

Cited by 4 publications

(3 citation statements)

References 12 publications

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“…The traditional model was first proposed by Brown in 1971 [44], and the division model was first proposed by Fitzgibbon in 2001 [34]. In the existing literature, the traditional model [45][46][47][48] and division model [49,50] are widely used, and the division model is the most popular because it can result in simpler equation systems [5]. Depending on the number of parameters, the radial distortion models can be divided into one-parameter models [6,18,29,[51][52][53], two-parameter models [22,54], three-parameter models [35] and arbitrary parameter models [5,55].…”

Section: Introductionmentioning

confidence: 99%

A New Method for Absolute Pose Estimation with Unknown Focal Length and Radial Distortion

Guo

Chen

et al. 2022

Sensors

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Estimating the absolute pose of a camera is one of the key steps for computer vision. In some cases, especially when using a wide-angle or zoom lens, the focal length and radial distortion also need to be considered. Therefore, in this paper, an efficient and robust method for a single solution is proposed to estimate the absolute pose for a camera with unknown focal length and radial distortion, using three 2D–3D point correspondences and known camera position. The problem is decomposed into two sub-problems, which makes the estimation simpler and more efficient. The first sub-problem is to estimate the focal length and radial distortion. An important geometric characteristic of radial distortion, that the orientation of the 2D image point with respect to the center of distortion (i.e., principal point in this paper) under radial distortion is unchanged, is used to solve this sub-problem. The focal length and up to four-order radial distortion can be determined with this geometric characteristic, and it can be applied to multiple distortion models. The values with no radial distortion are used as the initial values, which are close to the global optimal solutions. Then, the sub-problem can be efficiently and accurately solved with the initial values. The second sub-problem is to determine the absolute pose with geometric linear constraints. After estimating the focal length and radial distortion, the undistorted image can be obtained, and then the absolute pose can be efficiently determined from the point correspondences and known camera position using the undistorted image. Experimental results indicate this method’s accuracy and numerical stability for pose estimation with unknown focal length and radial distortion in synthetic data and real images.

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Section: Introductionmentioning

confidence: 99%

A New Method for Absolute Pose Estimation with Unknown Focal Length and Radial Distortion

Guo

Chen

et al. 2022

Sensors

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“…Using these models to compensate the observations is now well known and many software dealing with images or panoramas propose plugins dedicated to distortion correction (mainly only radial distortion) [ 13 ] . However, although we have the equations to compensate the distortion, how to compute the inverse function in order to apply such a distortion is not obvious.…”

Section: Introductionmentioning

confidence: 99%

An Exact Formula for Calculating Inverse Radial Lens Distortions

Drap

Lefèvre

2016

Sensors

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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.

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“…It is also an acceptable solution for projects in Cultural Heritage sites, where problems exist, such as narrow streets or confined spaces. However, they need a very precise and reliable calibration in order to compensate for the serious radial distortion effects (Papadaki and Georgopoulos, 2015). …”

Section: Action and 360° Cameras Used For 3d Modelling Of Cultural Hementioning

confidence: 99%

Developing a Low-Cost System for 3d Data Acquisition

Kossieris

Kourounioti

Agrafiotis

et al. 2017

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

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ABSTRACT:In this paper, a developed low-cost system is described, which aims to facilitate 3D documentation fast and reliably by acquiring the necessary data in outdoor environment for the 3D documentation of façades especially in the case of very narrow streets. In particular, it provides a viable solution for buildings up to 8-10m high and streets as narrow as 2m or even less. In cases like that, it is practically impossible or highly time-consuming to acquire images in a conventional way. This practice would lead to a huge number of images and long processing times. The developed system was tested in the narrow streets of a medieval village on the Greek island of Chios. There, in order to by-pass the problem of short taking distances, it was thought to use high definition action cameras together with a 360˚ camera, which are usually provided with very wide-angle lenses and are capable of acquiring images, of high definition, are rather cheap and, most importantly, extremely light. Results suggest that the system can perform fast 3D data acquisition adequate for deliverables of high quality.

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Development, comparison, and evaluation of software for radial distortion elimination

Cited by 4 publications

References 12 publications

A New Method for Absolute Pose Estimation with Unknown Focal Length and Radial Distortion

A New Method for Absolute Pose Estimation with Unknown Focal Length and Radial Distortion

An Exact Formula for Calculating Inverse Radial Lens Distortions

Developing a Low-Cost System for 3d Data Acquisition

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