{"abstract":[{"lang":"eng","text":"In this paper, we establish a correspondence between the incremental algorithm for computing AT-models [8,9] and the one for computing persistent homology [6,14,15]. We also present a decremental algorithm for computing AT-models that allows to extend the persistence computation to a wider setting. Finally, we show how to combine incremental and decremental techniques for persistent homology computation."}],"date_updated":"2021-08-12T13:53:17Z","language":[{"iso":"eng"}],"intvolume":"      6854","publisher":"Springer Nature","scopus_import":"1","author":[{"full_name":"Gonzalez-Diaz, Rocio","first_name":"Rocio","last_name":"Gonzalez-Diaz"},{"last_name":"Ion","first_name":"Adrian","full_name":"Ion, Adrian","id":"29F89302-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Jimenez","full_name":"Jimenez, Maria Jose","first_name":"Maria Jose"},{"last_name":"Poyatos","first_name":"Regina","full_name":"Poyatos, Regina"}],"doi":"10.1007/978-3-642-23672-3_35","_id":"9648","alternative_title":["LNCS"],"conference":{"start_date":"2011-08-29","location":"Seville, Spain","end_date":"2011-08-31","name":"CAIP: International Conference on Computer Analysis of Images and Patterns"},"department":[{"_id":"HeEd"}],"publication":"Computer Analysis of Images and Patterns","date_created":"2021-07-11T22:01:19Z","status":"public","citation":{"apa":"Gonzalez-Diaz, R., Ion, A., Jimenez, M. J., &#38; Poyatos, R. (2011). Incremental-decremental algorithm for computing AT-models and persistent homology. In <i>Computer Analysis of Images and Patterns</i> (Vol. 6854, pp. 286–293). Seville, Spain: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-642-23672-3_35\">https://doi.org/10.1007/978-3-642-23672-3_35</a>","chicago":"Gonzalez-Diaz, Rocio, Adrian Ion, Maria Jose Jimenez, and Regina Poyatos. “Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.” In <i>Computer Analysis of Images and Patterns</i>, 6854:286–93. Springer Nature, 2011. <a href=\"https://doi.org/10.1007/978-3-642-23672-3_35\">https://doi.org/10.1007/978-3-642-23672-3_35</a>.","short":"R. Gonzalez-Diaz, A. Ion, M.J. Jimenez, R. Poyatos, in:, Computer Analysis of Images and Patterns, Springer Nature, 2011, pp. 286–293.","ama":"Gonzalez-Diaz R, Ion A, Jimenez MJ, Poyatos R. Incremental-decremental algorithm for computing AT-models and persistent homology. In: <i>Computer Analysis of Images and Patterns</i>. Vol 6854. Springer Nature; 2011:286-293. doi:<a href=\"https://doi.org/10.1007/978-3-642-23672-3_35\">10.1007/978-3-642-23672-3_35</a>","mla":"Gonzalez-Diaz, Rocio, et al. “Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.” <i>Computer Analysis of Images and Patterns</i>, vol. 6854, Springer Nature, 2011, pp. 286–93, doi:<a href=\"https://doi.org/10.1007/978-3-642-23672-3_35\">10.1007/978-3-642-23672-3_35</a>.","ieee":"R. Gonzalez-Diaz, A. Ion, M. J. Jimenez, and R. Poyatos, “Incremental-decremental algorithm for computing AT-models and persistent homology,” in <i>Computer Analysis of Images and Patterns</i>, Seville, Spain, 2011, vol. 6854, pp. 286–293.","ista":"Gonzalez-Diaz R, Ion A, Jimenez MJ, Poyatos R. 2011. Incremental-decremental algorithm for computing AT-models and persistent homology. Computer Analysis of Images and Patterns. CAIP: International Conference on Computer Analysis of Images and Patterns, LNCS, vol. 6854, 286–293."},"day":"01","publication_status":"published","year":"2011","oa":1,"quality_controlled":"1","article_processing_charge":"No","publication_identifier":{"eissn":["16113349"],"issn":["03029743"],"isbn":["9783642236716"]},"title":"Incremental-decremental algorithm for computing AT-models and persistent homology","oa_version":"Published Version","volume":6854,"page":"286-293","month":"08","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","type":"conference","main_file_link":[{"url":"http://hdl.handle.net/11441/30766","open_access":"1"}],"date_published":"2011-08-01T00:00:00Z"}