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An improved algorithm of fundamental matrix estimation based on epipolar line restriction

Jiangbin Zheng, Wenbo Shi

Open publisher page 3 citations

Abstract

Estimating the epipolar geometric relations accurately between un-calibration views is an important key step in some stereo visual applications. Because the precision of fundamental (F) matrix estimation is sensitive to matching errors, this paper proposes an improved F matrix estimation scheme based on epipolar line restriction. Firstly, an improved RANSAC algorithm is proposed to select the optimal relatively subset from a primitive matched point set. Secondly, the different weighted factor is given to each selected couple of matched points according to pre-defined epipolar distance. Finally, a normalized process is performed for the selected matched points, and then the more accurate F matrix is solved. Several experimental results demonstrate that the proposed algorithm can improve the precision of F matrix.

About this research paper

What this paper is about

Estimating the epipolar geometric relations accurately between un-calibration views is an important key step in some stereo visual applications. Because the precision of fundamental (F) matrix estimation is sensitive to matching errors, this paper proposes an improved F matrix estimation scheme based on epipolar line restriction. Firstly, an improved RANSAC algorithm is proposed to select the optimal relatively subset from a primitive matched point set. Secondly, the different weighted factor is given to each selected couple of matched points according to pre-defined epipolar distance. Finally, a normalized process is performed for the selected matched points, and then the more accurate F matrix is solved. Several experimental results demonstrate that the proposed algorithm can improve the precision of F matrix.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Estimating the epipolar geometric relations accurately between un-calibration views is an important key step in some stereo visual applications. Because the precision of fundamental (F) matrix estimation is sensitive to matching errors, this paper proposes an improved F matrix estimation scheme based on epipolar line restriction. Firstly, an improved RANSAC algorithm is proposed to select the optimal relatively subset from a primitive matched point set. Secondly, the different weighted factor is given to each selected couple of matched points according to pre-defined epipolar distance. Finally, a normalized process is performed for the selected matched points, and then the more accurate F matrix is solved. Several experimental results demonstrate that the proposed algorithm can improve the precision of F matrix.

Key concepts: Epipolar geometry, RANSAC, Fundamental matrix (linear differential equation), Essential matrix, Eight-point algorithm, Algorithm, Matrix (chemical analysis), Computer science

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