Topologically correct surface reconstruction using alpha shapes and relations to ball-pivoting

@article{Stelldinger2008TopologicallyCS,
title={Topologically correct surface reconstruction using alpha shapes and relations to ball-pivoting},
author={Peer Stelldinger},
journal={2008 19th International Conference on Pattern Recognition},
year={2008},
pages={1-4}
}

The problem to reconstruct a surface given a finite set of boundary points is of growing interest, e.g. in the context of laser range images. While a lot of heuristic methods have been published in this context (e.g. the ball-pivoting algorithm), there exist only a few algorithms which guarantee the reconstruction to be homeomorphic to the original surface if a certain sampling density is reached. However, the sampling density mentioned is in most cases much higher than what seems to be… CONTINUE READING