Change search
ReferencesLink to record
Permanent link

Direct link
Extraction of Dominant Extremal Structures in Volumetric Data using Separatrix Persistence
Max Planck Institute for Informatics, Germany .ORCID iD: 0000-0002-1498-9062
2012 (English)In: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 31, no 8, 2554-2566 p.Article in journal (Refereed) PublishedText
Abstract [en]

Extremal lines and surfaces are features of a 3D scalar field where the scalar function becomes minimal or maximal with respect to a local neighborhood. These features are important in many applications, e.g., computer tomography, fluid dynamics, cell biology. We present a novel topological method to extract these features using discrete Morse theory. In particular, we extend the notion of Separatrix Persistence from 2D to 3D, which gives us a robust estimation of the feature strength for extremal lines and surfaces. Not only does it allow us to determine the most important (parts of) extremal lines and surfaces, it also serves as a robust filtering measure of noise-induced structures. Our purely combinatorial method does not require derivatives or any other numerical computations.

Place, publisher, year, edition, pages
Wiley-Blackwell, 2012. Vol. 31, no 8, 2554-2566 p.
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
URN: urn:nbn:se:kth:diva-184838DOI: 10.1111/j.1467-8659.2012.03222.xISI: 000310475600017ScopusID: 2-s2.0-84874931090OAI: diva2:916899

QC 20160421

Available from: 2016-04-05 Created: 2016-04-05 Last updated: 2016-04-21Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Weinkauf, Tino
In the same journal
Computer graphics forum (Print)
Computer Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 4 hits
ReferencesLink to record
Permanent link

Direct link