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Reconstruction of 3D Lines from a Single Axial Catadioptric Image Using Cross-Ratio

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It has been shown, in previous work, that the 3D position of a line can be reconstructed from a single image in vision systems that do not possess a single viewpoint. We present a new method that, in a non-central axial catadioptric system, can achieve line spacial reconstruction from 3 or more image points, given the distance ratio of 3 points in the line (a fair assumption in, for example, structured environment with repetitive architectural features). We use cross-ratio as an invariant to constrain the line localization and perform the reconstruction from a set of image points through non-linear optimization. Experimental results are presented.

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Citation

Perdigoto, L., & Araujo, H. (2012, November). Reconstruction of 3D lines from a single axial catadioptric image using cross-ratio. In Proceedings of the 21st International Conference on Pattern Recognition (ICPR2012) (pp. 857-860). IEEE.

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IEEE Canada

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Without CC licence