Reconstruction of Smooth Surfaces with Arbitrary Topology Adaptive Splines

Abstract

We present a novel method for fitting a smooth G ^1 continuous spline to point sets. It is based on an iterative conjugate gradient optimisation scheme. Unlike traditional tensor product based splines we can fit arbitrary topology surfaces with locally adaptive meshing. For this reason we call the surface “slime”. Other attempts at this problem are based on tensor product splines and are therefore not locally adaptive.

Cite

Text

Stoddart and Baker. "Reconstruction of Smooth Surfaces with Arbitrary Topology Adaptive Splines." European Conference on Computer Vision, 1998. doi:10.1007/BFB0054745

Markdown

[Stoddart and Baker. "Reconstruction of Smooth Surfaces with Arbitrary Topology Adaptive Splines." European Conference on Computer Vision, 1998.](https://mlanthology.org/eccv/1998/stoddart1998eccv-reconstruction/) doi:10.1007/BFB0054745

BibTeX

@inproceedings{stoddart1998eccv-reconstruction,
  title     = {{Reconstruction of Smooth Surfaces with Arbitrary Topology Adaptive Splines}},
  author    = {Stoddart, Andrew J. and Baker, M. S.},
  booktitle = {European Conference on Computer Vision},
  year      = {1998},
  pages     = {241-254},
  doi       = {10.1007/BFB0054745},
  url       = {https://mlanthology.org/eccv/1998/stoddart1998eccv-reconstruction/}
}