Riemannian Geometry for Scientific Visualization

Markus Hadwiger, Thomas Theußl, Peter Rautek

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This tutorial introduces the most important basics of Riemannian geometry and related concepts with a specific focus on applications in scientific visualization. The main concept in Riemannian geometry is the presence of a Riemannian metric on a differentiable manifold, comprising a second-order tensor field that defines an inner product in each tangent space that varies smoothly from point to point. Technically, the metric is what allows defining and computing distances and angles in a coordinate-independent manner. However, even more importantly, it in a sense is really the major structure (on top of topological considerations) that defines the space where scientific data, such as scalar, vector, and tensor fields live.

Original languageEnglish (US)
Title of host publicationProceedings - SIGGRAPH Asia 2022 Courses
EditorsStephen N. Spencer
PublisherAssociation for Computing Machinery, Inc
ISBN (Electronic)9781450394741
StatePublished - Dec 6 2022
EventSIGGRAPH Asia 2022 Courses - Computer Graphics and Interactive Techniques Conference - Asia, SA 2022 - Daegu, Korea, Republic of
Duration: Dec 6 2022Dec 9 2022

Publication series

NameProceedings - SIGGRAPH Asia 2022 Courses


ConferenceSIGGRAPH Asia 2022 Courses - Computer Graphics and Interactive Techniques Conference - Asia, SA 2022
Country/TerritoryKorea, Republic of

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Computer Vision and Pattern Recognition
  • Human-Computer Interaction
  • Software


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