Implicit Polynomial Representation Through a Fast Fitting Error Estimation

@article{Rouhani2012ImplicitPR,
  title={Implicit Polynomial Representation Through a Fast Fitting Error Estimation},
  author={Mohammad Rouhani and Angel Domingo Sappa},
  journal={IEEE Transactions on Image Processing},
  year={2012},
  volume={21},
  pages={2089-2098}
}
This paper presents a simple distance estimation for implicit polynomial fitting. It is computed as the height of a simplex built between the point and the surface (i.e., a triangle in 2-D or a tetrahedron in 3-D), which is used as a coarse but reliable estimation of the orthogonal distance. The proposed distance can be described as a function of the coefficients of the implicit polynomial. Moreover, it is differentiable and has a smooth behavior . Hence, it can be used in any gradient-based… CONTINUE READING

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