Abstract
In this chapter we introduce Morse theory, a systematic way of studying certain features of smooth functions on manifolds. We will primarily consider surfaces and three-manifolds, because the main applications of Morse theory in computer geometry are concentrated in these dimensions.
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© 1997 Springer Japan
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Fomenko, A.T., Kinii, T.L. (1997). Critical Points and Morse Theory. In: Topological Modeling for Visualization. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66956-2_6
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DOI: https://doi.org/10.1007/978-4-431-66956-2_6
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-66958-6
Online ISBN: 978-4-431-66956-2
eBook Packages: Springer Book Archive