Abstract
We propose a novel solution for reconstructing planar surface patches. The theoretical foundation relies on variational calculus, which yields a closed form solution for the normal and distance of a 3D planar surface patch, when an affine transformation is known between the corresponding image region pairs. Although we apply the proposed method to projective cameras, the theoretical derivation itself is not restricted to perspective projection. The method is quantitatively evaluated on a large set of synthetic data as well as on real images of urban scenes, where planar surface reconstruction is often needed. Experimental results confirm that the method provides good reconstructions in real-time.
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Acknowledgement
This research was supported by the European Union and the European Social Fund through project FuturICT.hu (grant no.: TAMOP-4.2.2.C-11/1/KONV-2012-0013).
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Molnar, J., Huang, R., Kato, Z. (2015). 3D Reconstruction of Planar Surface Patches: A Direct Solution. In: Jawahar, C., Shan, S. (eds) Computer Vision - ACCV 2014 Workshops. ACCV 2014. Lecture Notes in Computer Science(), vol 9008. Springer, Cham. https://doi.org/10.1007/978-3-319-16628-5_21
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DOI: https://doi.org/10.1007/978-3-319-16628-5_21
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