[{"extern":1,"dini_type":"doc-type:bookPart","date_updated":"2021-01-12T07:44:24Z","citation":{"chicago":"Edelsbrunner, Herbert, and John Harer. “Jacobi Sets of Multiple Morse Functions.” In Foundations of Computational Mathematics, 312:37–57. Springer, 2004. https://doi.org/10.1017/CBO9781139106962.003.","ista":"Edelsbrunner H, Harer J. 2004.Jacobi sets of multiple Morse functions. In: Foundations of Computational Mathematics. London Mathematical Society Lecture Note, vol. 312, 37–57.","mla":"Edelsbrunner, Herbert, and John Harer. “Jacobi Sets of Multiple Morse Functions.” Foundations of Computational Mathematics, vol. 312, Springer, 2004, pp. 37–57, doi:10.1017/CBO9781139106962.003.","apa":"Edelsbrunner, H., & Harer, J. (2004). Jacobi sets of multiple Morse functions. In Foundations of Computational Mathematics (Vol. 312, pp. 37–57). Springer. https://doi.org/10.1017/CBO9781139106962.003","short":"H. Edelsbrunner, J. Harer, in:, Foundations of Computational Mathematics, Springer, 2004, pp. 37–57.","ieee":"H. Edelsbrunner and J. Harer, “Jacobi sets of multiple Morse functions,” in Foundations of Computational Mathematics, vol. 312, Springer, 2004, pp. 37–57."},"author":[{"first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833"},{"first_name":"John","last_name":"Harer"}],"publist_id":"2810","_id":"3575","status":"public","type":"book_chapter","day":"01","publication":"Foundations of Computational Mathematics","dc":{"rights":["info:eu-repo/semantics/closedAccess"],"creator":["Herbert Edelsbrunner","Harer, John"],"title":["Jacobi sets of multiple Morse functions","London Mathematical Society Lecture Note"],"identifier":["https://research-explorer.ista.ac.at/record/3575"],"description":["The Jacobi set of two Morse functions defined on a common - manifold is the set of critical points of the restrictions of one func- tion to the level sets of the other function. Equivalently, it is the set of points where the gradients of the functions are parallel. For a generic pair of Morse functions, the Jacobi set is a smoothly embed- ded 1-manifold. We give a polynomial-time algorithm that com- putes the piecewise linear analog of the Jacobi set for functions specified at the vertices of a triangulation, and we generalize all results to more than two but at most Morse functions."],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1017/CBO9781139106962.003"],"source":["Edelsbrunner H, Harer J. Jacobi sets of multiple Morse functions. In: Foundations of Computational Mathematics. Vol 312. Springer; 2004:37-57. doi:10.1017/CBO9781139106962.003"],"type":["info:eu-repo/semantics/bookPart","doc-type:bookPart","text","http://purl.org/coar/resource_type/c_3248"],"publisher":["Springer"],"date":["2004"]},"publication_status":"published","volume":312,"date_published":"2004-01-01T00:00:00Z","date_created":"2018-12-11T12:04:02Z","uri_base":"https://research-explorer.ista.ac.at","page":"37 - 57","abstract":[{"lang":"eng"}],"month":"01","intvolume":" 312","alternative_title":[],"quality_controlled":0}]