Noniterative Generalized Camera Model for Near-Central Camera System

This paper proposes a near-central camera model and its solution approach. ’Near-central’ refers to cases in which the rays do not converge to a point and do not have severely arbitrary directions (non-central cases). Conventional calibration methods are difficult to apply in such cases. Although th...

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Main Authors: Taehyeon Choi, Seongwook Yoon, Jaehyun Kim, Sanghoon Sull
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/11/5294
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author Taehyeon Choi
Seongwook Yoon
Jaehyun Kim
Sanghoon Sull
author_facet Taehyeon Choi
Seongwook Yoon
Jaehyun Kim
Sanghoon Sull
author_sort Taehyeon Choi
collection DOAJ
description This paper proposes a near-central camera model and its solution approach. ’Near-central’ refers to cases in which the rays do not converge to a point and do not have severely arbitrary directions (non-central cases). Conventional calibration methods are difficult to apply in such cases. Although the generalized camera model can be applied, dense observation points are required for accurate calibration. Moreover, this approach is computationally expensive in the iterative projection framework. We developed a noniterative ray correction method based on sparse observation points to address this problem. First, we established a smoothed three-dimensional (3D) residual framework using a backbone to avoid using the iterative framework. Second, we interpolated the residual by applying local inverse distance weighting on the nearest neighbor of a given point. Specifically, we prevented excessive computation and the deterioration in accuracy that may occur in inverse projection through the 3D smoothed residual vectors. Moreover, the 3D vectors can represent the ray directions more accurately than the 2D entities. Synthetic experiments show that the proposed method can achieve prompt and accurate calibration. The depth error is reduced by approximately 63% in the bumpy shield dataset, and the proposed approach is noted to be two digits faster than the iterative methods.
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spelling doaj.art-3aef83dd1e534b7ba2dc373c4dd756b02023-11-18T08:35:12ZengMDPI AGSensors1424-82202023-06-012311529410.3390/s23115294Noniterative Generalized Camera Model for Near-Central Camera SystemTaehyeon Choi0Seongwook Yoon1Jaehyun Kim2Sanghoon Sull3School of Electrical Engineering, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of KoreaSchool of Electrical Engineering, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of KoreaSchool of Electrical Engineering, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of KoreaSchool of Electrical Engineering, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of KoreaThis paper proposes a near-central camera model and its solution approach. ’Near-central’ refers to cases in which the rays do not converge to a point and do not have severely arbitrary directions (non-central cases). Conventional calibration methods are difficult to apply in such cases. Although the generalized camera model can be applied, dense observation points are required for accurate calibration. Moreover, this approach is computationally expensive in the iterative projection framework. We developed a noniterative ray correction method based on sparse observation points to address this problem. First, we established a smoothed three-dimensional (3D) residual framework using a backbone to avoid using the iterative framework. Second, we interpolated the residual by applying local inverse distance weighting on the nearest neighbor of a given point. Specifically, we prevented excessive computation and the deterioration in accuracy that may occur in inverse projection through the 3D smoothed residual vectors. Moreover, the 3D vectors can represent the ray directions more accurately than the 2D entities. Synthetic experiments show that the proposed method can achieve prompt and accurate calibration. The depth error is reduced by approximately 63% in the bumpy shield dataset, and the proposed approach is noted to be two digits faster than the iterative methods.https://www.mdpi.com/1424-8220/23/11/5294camera calibrationgeneralized camera model3D measuretransparent shieldstereo camera calibrationfisheye camera model
spellingShingle Taehyeon Choi
Seongwook Yoon
Jaehyun Kim
Sanghoon Sull
Noniterative Generalized Camera Model for Near-Central Camera System
Sensors
camera calibration
generalized camera model
3D measure
transparent shield
stereo camera calibration
fisheye camera model
title Noniterative Generalized Camera Model for Near-Central Camera System
title_full Noniterative Generalized Camera Model for Near-Central Camera System
title_fullStr Noniterative Generalized Camera Model for Near-Central Camera System
title_full_unstemmed Noniterative Generalized Camera Model for Near-Central Camera System
title_short Noniterative Generalized Camera Model for Near-Central Camera System
title_sort noniterative generalized camera model for near central camera system
topic camera calibration
generalized camera model
3D measure
transparent shield
stereo camera calibration
fisheye camera model
url https://www.mdpi.com/1424-8220/23/11/5294
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