Rectilinearity of 3D Meshes

@article{Lian2009RectilinearityO3,
  title={Rectilinearity of 3D Meshes},
  author={Zhouhui Lian and Paul L. Rosin and Xianfang Sun},
  journal={International Journal of Computer Vision},
  year={2009},
  volume={89},
  pages={130-151}
}
In this paper, we propose and evaluate a novel shape measure describing the extent to which a 3D polygon mesh is rectilinear. The rectilinearity measure is based on the maximum ratio of the surface area to the sum of three orthogonal projected areas of the mesh. It has the following desirable properties: 1) the estimated rectilinearity is always a number from (0,1]; 2) the measure is invariant under scale, rotation, and translation; 3) the 3D objects can be either open or closed meshes, and we… CONTINUE READING

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