Change search
ReferencesLink to record
Permanent link

Direct link
Topology-based Smoothing of 2D Scalar Fields with C1-Continuity
Courant Institute, New York University, USA. (Visualization and Data Analysis)ORCID iD: 0000-0002-1498-9062
2010 (English)In: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 29, no 3, 1221-1230 p.Article in journal (Refereed) PublishedText
Abstract [en]

Data sets coming from simulations or sampling of real-world phenomena often contain noise that hinders their processing and analysis. Automatic filtering and denoising can be challenging: when the nature of the noise is unknown, it is difficult to distinguish between noise and actual data features; in addition, the filtering process itself may introduce artificial features into the data set that were not originally present. In this paper, we propose a smoothing method for 2D scalar fields that gives the user explicit control over the data features. We define features as critical points of the given scalar function, and the topological structure they induce (i.e., the Morse-Smale complex). Feature significance is rated according to topological persistence. Our method allows filtering out spurious features that arise due to noise by means of topological simplification, providing the user with a simple interface that defines the significance threshold, coupled with immediate visual feedback of the remaining data features. In contrast to previous work, our smoothing method guarantees a C1-continuous output scalar field with the exact specified features and topological structures.

Place, publisher, year, edition, pages
2010. Vol. 29, no 3, 1221-1230 p.
Keyword [en]
[Computer Graphics]: Computational Geometry and Object Modeling - Geometric algorithms, languages, and systems
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
URN: urn:nbn:se:kth:diva-184778ScopusID: 2-s2.0-77955737881OAI: diva2:916782

QC 20160404

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

Open Access in DiVA

No full text

Other links


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

Total: 7 hits
ReferencesLink to record
Permanent link

Direct link