Simple calibration algorithm for high-distortion lens camera

Nomura, Yoshihiko; Sagara, Michihiro; Naruse, Hiroshi; Ide, A.

doi:10.1109/34.166624

Cited by 60 publications

(18 citation statements)

References 3 publications

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“…Such models were for example applied for endoscope calibration, see [17,204,454,565]. Other calibration approaches using such models are [8,42,134,148,215,216,274,302,330,381,436,437,514,515,521,525,534]. These approaches often differ with respect to the choice of calibration object, potentially carrying out controlled motions to position it in front of the camera, and with respect to the strategy for estimating the unknowns (e.g., estimating some parameters first while keeping others at initial values).…”

Section: Inversion Of Modelsmentioning

confidence: 99%

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

Sturm

2010

FNT in Computer Graphics and Vision

157

122

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A printed and bound version is available at a special discount price of US35 from Now Publishers. This can be obtained by entering the promotional code CGV006023 on https://www.nowpublishers.com/bookorder.aspx?doi=0600000023&product=CGVInternational audienceThis survey is mainly motivated by the increased availability and use of panoramic image acquisition devices, in computer vision and various of its applications. Different technologies and different computational models thereof exist and algorithms and theoretical studies for geometric computer vision ("structure-from-motion") are often re-developed without highlighting common underlying principles. One of the goals of this survey is to give an overview of image acquisition methods used in computer vision and especially, of the vast number of camera models that have been proposed and investigated over the years, where we try to point out similarities between different models. Results on epipolar and multi-view geometry for different camera models are reviewed as well as various calibration and self-calibration approaches, with an emphasis on non-perspective cameras. We finally describe what we consider are fundamental building blocks for geometric computer vision or structure-from-motion: epipolar geometry, pose and motion estimation, 3D scene modeling, and bundle adjustment. The main goal here is to highlight the main principles of these, which are independent of specific camera models

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Section: Inversion Of Modelsmentioning

confidence: 99%

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

Sturm

2010

FNT in Computer Graphics and Vision

157

122

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“…A prism-distortion model was used in [8] to correct the tangential distortion in an image. Nomura et al [9] presented a calibration technique for high-distortion TV camera lenses. However, this method requires precise placement of the calibration chart.…”

Section: Inimally Invasive Therapy (Mit) Is Increasinglymentioning

confidence: 99%

“…Hence, two optimum polynomial coefficients are computed using (9). A normalized error function is defined as the normalized sum of magnitudes of the perpendiculars drawn from each of the points on the best linear fit of th column as (10) The total error for the whole grid image is obtained by (11) In the ideal condition, when there is no distortion in the image, the total error is zero since all grid lines will be imaged as straight lines.…”

Section: A Estimation Of Expansion Coefficientsmentioning

confidence: 99%

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A new approach for nonlinear distortion correction in endoscopic images based on least squares estimation

Asari¹,

Kumar

Radhakrishnan

1999

IEEE Trans. Med. Imaging

104

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Abstract-Images captured with a typical endoscope show spatial distortion, which necessitates distortion correction for subsequent analysis. In this paper, a new methodology based on least squares estimation is proposed to correct the nonlinear distortion in the endoscopic images. A mathematical model based on polynomial mapping is used to map the images from distorted image space onto the corrected image space. The model parameters include the polynomial coefficients, distortion center, and corrected center. The proposed method utilizes a line search approach of global convergence for the iterative procedure to obtain the optimum expansion coefficients. A new technique to find the distortion center of the image based on curvature criterion is presented. A dual-step approach comprising token matching and integrated neighborhood search is also proposed for accurate extraction of the centers of the dots contained in a rectangular grid, used for the model parameter estimation. The model parameters were verified with different grid patterns. The distortion-correction model is applied to several gastrointestinal images and the results are presented. The proposed technique provides high-speed response and forms a key step toward online camera calibration, which is required for accurate quantitative analysis of the images.

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“…When decentering distortion and thin prism distortion are presented, tangential distortion should be taken into account in distortion correction (15), (16) . Decentering distortion arises from the decentering of lens elements.…”

Section: Distortion Modelsmentioning

confidence: 99%

In-Plane Displacement Measurement Using Digital Image Correlation with Lens Distortion Correction

Yoneyama

Kitagawa

Kitamura

et al. 2006

JSME Int. J., Ser. A

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Two-dimensional displacement measurement using digital image correlation with lens distortion correction is described in this paper. A single cross-grating is used as a calibration reference. Using two-dimensional Fourier transform, the phases of the grating pattern are analyzed and lens distortion distribution is obtained from the unwrapped phase maps. After detecting lens distortion, the coefficients of lens distortion are determined using the least-squares method. Then, the displacement distributions without the lens distortion are obtained. The effectiveness of the method is demonstrated by applying the proposed method to the rigid body translation test and the uniaxial tension test. The results show that the proposed distortion correction method removes the effect of lens distortion from the measured displacements. By the proposed method, accurate measurements can be performed even if images are deformed by lens distortion.

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Simple calibration algorithm for high-distortion lens camera

Cited by 60 publications

References 3 publications

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

Camera Models and Fundamental Concepts Used in Geometric Computer Vision

A new approach for nonlinear distortion correction in endoscopic images based on least squares estimation

In-Plane Displacement Measurement Using Digital Image Correlation with Lens Distortion Correction

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