This is a survey article on singularity theory of differentiable maps with applications to visualization of scientific data in mind. Special emphasis is put on Morse theory on manifolds with boundary, singular fibers of multi-fields, their Reeb spaces, and their topological transitions.
CITATION STYLE
Saeki, O. (2017). Theory of singular fibers and reeb spaces for visualization. In Mathematics and Visualization (Vol. 0, pp. 3–33). Springer Heidelberg. https://doi.org/10.1007/978-3-319-44684-4_1
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