Direct least-squares fitting of algebraic surfaces

@inproceedings{Pratt1987DirectLF,
  title={Direct least-squares fitting of algebraic surfaces},
  author={Vaughan R. Pratt},
  booktitle={SIGGRAPH},
  year={1987}
}
In the course of developing a system for fitting smooth curves to camera input we have developed several direct (i.e. noniterative) methods for fitting a shape (line, circle, conic, cubic, plane, sphere, quadric, etc.) to a set of points, namely exact fit, simple fit, spherical fit, and blend fit. These methods are all dimension-independent, being just as suitable for 3D surfaces as for the 2D curves they were originally developed for.Exact fit generalizes to arbitrary shapes (in the sense of… CONTINUE READING
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