Abstract
We now restrict our attention to two classes of functions on surfaces, which have particular importance in computer geometry: height functions and distance functions. In particular, we investigate when such functions are Morse functions. We consider a solid, bounded, connected object in ℝ3, as in Figure 9.1, and assume that it has a smooth boundary. The boundary, therefore, is an orientable compact surface embedded in ℝ3.
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© 1997 Springer Japan
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Fomenko, A.T., Kinii, T.L. (1997). Height Functions and Distance Functions. In: Topological Modeling for Visualization. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66956-2_9
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DOI: https://doi.org/10.1007/978-4-431-66956-2_9
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-66958-6
Online ISBN: 978-4-431-66956-2
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