Projective Rectification with Reduced Geometric Distortion for Stereo Vision and Stereoscopic Video

Wu, Hsien-Huang P.; Yu, Yu-Hua

doi:10.1007/s10846-004-3023-6

Cited by 26 publications

(10 citation statements)

References 11 publications

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“…Here, the geometrical distortion is measured by the dissimilarity of a rectified image from its original unrectified one. Several rectification algorithms [5]- [10] have been proposed to control the perspective distortion in rectified images using auxiliary affine transforms (e.g., the Jacobian or SVD of H, etc. ), yet none of them is clearly superior to others in reaching well-balanced rectification quality.…”

Section: B Geometric Distortionsmentioning

confidence: 99%

“…To evaluate the performance of the proposed USR and USR-CGD algorithms, we compare them with four rectification algorithms over the four databases described in Section IV. The four benchmark algorithms are Hartley [4], Mallon and Whelan [8], Wu and Yu [10] and Fusiello and Luca [11]. We adopt the following vertical disparity error…”

Section: Performance Evaluationmentioning

confidence: 99%

“…However, such a constraint on the disparity sometimes generates significantly distorted image. For further improvement, Wu and Yu [10] combined this approach with a shearing transform to reduce the distortion.…”

Section: Introductionmentioning

confidence: 99%

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Robust uncalibrated stereo rectification with constrained geometric distortions (USR-CGD)

Shim

Choi

et al. 2017

Image and Vision Computing

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Abstract-A novel algorithm for uncalibrated stereo imagepair rectification under the constraint of geometric distortion, called USR-CGD, is presented in this work. Although it is straightforward to define a rectifying transformation (or homography) given the epipolar geometry, many existing algorithms have unwanted geometric distortions as a side effect. To obtain rectified images with reduced geometric distortions while maintaining a small rectification error, we parameterize the homography by considering the influence of various kinds of geometric distortions. Next, we define several geometric measures and incorporate them into a new cost function for parameter optimization. Finally, we propose a constrained adaptive optimization scheme to allow a balanced performance between the rectification error and the geometric error. Extensive experimental results are provided to demonstrate the superb performance of the proposed USR-CGD method, which outperforms existing algorithms by a significant margin.

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Section: B Geometric Distortionsmentioning

confidence: 99%

Section: Performance Evaluationmentioning

confidence: 99%

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Robust uncalibrated stereo rectification with constrained geometric distortions (USR-CGD)

Shim

Choi

et al. 2017

Image and Vision Computing

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“…They suggest using the transformation that minimizes the range of disparity between the two images, i.e., the distance between the rectified corresponding points. In their state-of-the-art methods [13,14], the authors attempt to make the effects of rectification “as affine as possible” over the area of the images. In papers by [15], a different distortion criterion consists of preserving the sampling of the original images.…”

Section: Introductionmentioning

confidence: 99%

Epipolar Rectification with Minimum Perspective Distortion for Oblique Images

Liu

Guo

Jiang

et al. 2016

Sensors

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Epipolar rectification is of great importance for 3D modeling by using UAV (Unmanned Aerial Vehicle) images; however, the existing methods seldom consider the perspective distortion relative to surface planes. Therefore, an algorithm for the rectification of oblique images is proposed and implemented in detail. The basic principle is to minimize the rectified images’ perspective distortion relative to the reference planes. First, this minimization problem is formulated as a cost function that is constructed by the tangent value of angle deformation; second, it provides a great deal of flexibility on using different reference planes, such as roofs and the façades of buildings, to generate rectified images. Furthermore, a reasonable scale is acquired according to the dihedral angle between the rectified image plane and the original image plane. The low-quality regions of oblique images are cropped out according to the distortion size. Experimental results revealed that the proposed rectification method can result in improved matching precision (Semi-global dense matching). The matching precision is increased by about 30% for roofs and increased by just 1% for façades, while the façades are not parallel to the baseline. In another designed experiment, the selected façades are parallel to the baseline, the matching precision has a great improvement for façades, by an average of 22%. This fully proves our proposed algorithm that elimination of perspective distortion on rectified images can significantly improve the accuracy of dense matching.

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“…[5,6] , 이와 유사하게 특정 기하학 적 관계를 이용한 방법들이 연구된 바 있다 [7,8] . 이와 다른 관점에서 수행된 연구로는 영상정렬 시 원영상 대비 변형 을 최소화하기 위해 고안된 Quasi-Euclidean 방법이 있다 [9] .…”

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Automated Image Alignment and Monitoring Method for Efficient Stereoscopic 3D Contents Production

Kim¹,

Kim²

2014

Journal of Broadcast Engineering

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Minimization of visual fatigue is important for production of high quality stereoscopic 3D contents. Vertical disparity of stereo images occurred during contents production is considered as the main factor of visual fatigue. To ensure correct stereoscopy vertical disparity needs to be eliminated. In this paper, a method for automated image alignment was proposed for Stereoscopic 3D contents generation and post-processing steps. The proposed method consists of two parts: rectification for image alignment and camera motion detection. The proposed method showed that its rectification performance was the most superior among the existing methods tested and that camera motion detection had a success rate of 98.35%. Through these evaluations, we confirmed that the proposed method can be effectively applied to 3D contents production.

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Projective Rectification with Reduced Geometric Distortion for Stereo Vision and Stereoscopic Video

Cited by 26 publications

References 11 publications

Robust uncalibrated stereo rectification with constrained geometric distortions (USR-CGD)

Robust uncalibrated stereo rectification with constrained geometric distortions (USR-CGD)

Epipolar Rectification with Minimum Perspective Distortion for Oblique Images

Automated Image Alignment and Monitoring Method for Efficient Stereoscopic 3D Contents Production

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