Robust fitting of implicitly defined surfaces using Gauss–Newton-type techniques

@article{Aigner2009RobustFO,
  title={Robust fitting of implicitly defined surfaces using Gauss–Newton-type techniques},
  author={Martin Aigner and Bert J{\"u}ttler},
  journal={The Visual Computer},
  year={2009},
  volume={25},
  pages={731-741}
}
We describe Gauss–Newton-type methods for fitting implicitly defined curves and surfaces to given unorganized data points. The methods are suitable not only for least-squares approximation, but they can also deal with general error functions, such as approximations to the ℓ 1 or ℓ ∞ norm of the vector of residuals. Two different definitions of the residuals will be discussed, which lead to two different classes of methods: direct methods and data-based ones. In addition we discuss the… CONTINUE READING

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