On the curvature of guided surfaces

@article{Karciauskas2008OnTC,
  title={On the curvature of guided surfaces},
  author={Kestutis Karciauskas and J{\"o}rg Peters},
  journal={Computer Aided Geometric Design},
  year={2008},
  volume={25},
  pages={69-79}
}
Following [KP07], we analyze surfaces arising as an infinite sequence of guided C2 surface rings. However, here we focus on constructions of too low a de gree to be curvature continuous also at the extraordinary point. To characterize shape a nd smoothness of such surfaces, we track a sequence of quadratic functions anchored in a fixed coordinate system. These ‘anchored osculating quadratics’ are easily computed in te rms of determinants of surface derivatives. Convergence of the sequence of… CONTINUE READING
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