Approximation with Active B-Spline Curves and Surfaces

@inproceedings{Pottmann2002ApproximationWA,
  title={Approximation with Active B-Spline Curves and Surfaces},
  author={Helmut Pottmann and Stefan Leopoldseder and Michael Hofer},
  booktitle={Pacific Conference on Computer Graphics and Applications},
  year={2002}
}
An active contour model for parametric curve and surface approximation is presented. The active curve or surface adapts to the model shape to be approximated in an optimization algorithm. The quasi-Newton optimization procedure in each iteration step minimizes a quadratic function which is built up with help of local quadratic approximants of the squared distance function of the model shape and an internal energy which has a smoothing and regularization effect. The approach completely avoids… CONTINUE READING
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