3D Reconstruction of Planar Surface Patches: A Direct Solution (bibtex)
by József Molnár, Rui Huang, Zoltan Kato
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.
Reference:
József Molnár, Rui Huang, Zoltan Kato, 3D Reconstruction of Planar Surface Patches: A Direct Solution, In Proceedings of ACCV Workshop on Big Data in 3D Computer Vision (C. V. Jawahar, Shiguang Shan, eds.), volume 9008 of Lecture Notes in Computer Science, Singapore, pp. 286-300, 2014, Springer.
Bibtex Entry:
@string{accv-bigdata="Proceedings of ACCV Workshop on Big Data in 3D Computer Vision"}
@string{lncs="Lecture Notes in Computer Science"}
@string{springer="Springer"}
@INPROCEEDINGS{Molnar-etal2014,
  author =	 {J\'ozsef Moln\'ar and Rui Huang and Zoltan Kato},
  title =	 {{3D} Reconstruction of Planar Surface Patches: A
                  Direct Solution},
  booktitle =	 accv-bigdata,
  year =	 2014,
  series =	 lncs,
  address =	 {Singapore},
  month =	 nov,
  publisher =	 springer,
  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.},
  pages =	 {286-300},
  editor =	 {C. V. Jawahar and Shiguang Shan},
  volume =	 9008
}
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