Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Differential Methods for Multi-Dimensional Visual Data Analysis
Max Planck Institute for Informatics, Germany.ORCID iD: 0000-0002-1498-9062
Show others and affiliations
2010 (English)In: Handbook of Mathematical Methods in Imaging / [ed] Scherzer, O., Springer , 2010, p. 1533-1595Chapter in book (Other academic)
Resource type
Text
Abstract [en]

Images in scientific visualization are the end-product of the data processing. Starting from higher-dimensional datasets, such as scalar-, vector-, tensor- fields given on 2D, 3D, 4D domains, the objective is to reduce this complexity to two-dimensional images comprehensible to the human visual system. Various mathematical fields such as in particular differential geometry, topology (theory of discretized manifolds), differential topology, linear algebra, geometric algebra, vectorfield and tensor analysis, and partial differential equations contribute to the data filtering and transformation algorithms used in scientific visualization. The application of differential methods is core to all these fields. The following chapter will provide examples from current research on the application of these mathematical domains to scientific visualization and ultimately generating of images for analysis of multi-dimensional datasets.

Place, publisher, year, edition, pages
Springer , 2010. p. 1533-1595
National Category
Computer Sciences
Research subject
Computer Science; SRA - E-Science (SeRC)
Identifiers
URN: urn:nbn:se:kth:diva-184773DOI: 10.1007/978-1-4939-0790-8_35ISBN: 978-0-387-92921-7 (print)OAI: oai:DiVA.org:kth-184773DiVA, id: diva2:916784
Note

QC 20160418

Available from: 2016-04-04 Created: 2016-04-04 Last updated: 2018-01-10Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records BETA

Weinkauf, Tino

Search in DiVA

By author/editor
Weinkauf, Tino
Computer Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 23 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf