@inbook{0322e5f11f9e4130a4cda34e0c1b20af,

title = "Theory of singular fibers and reeb spaces for visualization",

abstract = "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.",

author = "Osamu Saeki",

note = "Funding Information: The author has been supported in part by JSPS KAKENHI Grant Numbers JP23244008, JP23654028, JP25540041, JP15K13438. Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",

year = "2017",

doi = "10.1007/978-3-319-44684-4_1",

language = "English",

isbn = "9783319446820",

series = "Mathematics and Visualization",

publisher = "Springer Heidelberg",

number = "9783319446820",

pages = "3--33",

booktitle = "Mathematics and Visualization",

address = "Germany",

edition = "9783319446820",

}