10.1007/978-3-642-15014-2_3
Edelsbrunner, Herbert
Herbert
Edelsbrunner0000-0002-9823-6833
Morozov, Dmitriy
Dmitriy
Morozov
Patel, Amit
Amit
Patel
The stability of the apparent contour of an orientable 2-manifold
Mathematics and Visualization
Springer
2010
2018-12-11T12:05:13Z
2020-07-14T23:03:59Z
book_chapter
https://research-explorer.app.ist.ac.at/record/3795
https://research-explorer.app.ist.ac.at/record/3795.json
210710 bytes
application/pdf
The (apparent) contour of a smooth mapping from a 2-manifold to the plane, f: M → R2 , is the set of critical values, that is, the image of the points at which the gradients of the two component functions are linearly dependent. Assuming M is compact and orientable and measuring difference with the erosion distance, we prove that the contour is stable.