Jacobi sets of multiple Morse functions
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.
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Edelsbrunner, HerbertISTA 
;
Harer, John
;
Harer, JohnSeries Title
London Mathematical Society Lecture Note
Abstract
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.
Publishing Year
Date Published
2004-01-01
Book Title
Foundations of Computational Mathematics
Volume
312
Page
37 - 57
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Cite this
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
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
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.
H. Edelsbrunner and J. Harer, “Jacobi sets of multiple Morse functions,” in Foundations of Computational Mathematics, vol. 312, Springer, 2004, pp. 37–57.
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.
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.
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