Highly Influenced

# Zigzag zoology: rips zigzags for homology inference

@inproceedings{Oudot2013ZigzagZR, title={Zigzag zoology: rips zigzags for homology inference}, author={Steve Oudot and Don Sheehy}, booktitle={Symposium on Computational Geometry}, year={2013} }

- Published 2013 in Symposium on Computational Geometry
DOI:10.1145/2462356.2462371

For points sampled near a compact set X, the persistence barcode of the Rips filtration built from the sample contains information about the homology of X as long as X satisfies some geometric assumptions. The Rips filtration is prohibitively large, however zigzag persistence can be used to keep the size linear. We present several species of Rips-like zigzags and compare them with respect to the signal-to-noise ratio, a measure of how well the underlying homology is represented in the… CONTINUE READING

Highly Cited

This paper has 27 citations. REVIEW CITATIONS

#### From This Paper

##### Figures, tables, and topics from this paper.

19 Citations

3 References

Similar Papers

#### References

##### Publications referenced by this paper.

Showing 1-3 of 3 references

Highly Influential

Highly Influential

Highly Influential