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2022_riemannian_geometry_scivis_tutorial_v0_2.pdf
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Accepted Manuscript
Type
Conference PaperKAUST Department
Computer Science ProgramVisual Computing Center (VCC)
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
KAUST Visualization Laboratory (KVL)
Date
2023-01-31Permanent link to this record
http://hdl.handle.net/10754/687453
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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.Citation
Hadwiger, M., Theußl, T., & Rautek, P. (2022). Riemannian Geometry for Scientific Visualization. ACM SIGGRAPH Asia 2022 Courses. https://doi.org/10.1145/3550495.3558227Publisher
ACMConference/Event name
SIGGRAPH Asia '22: ACM SIGGRAPH Asia 2022 CoursesAdditional Links
https://dl.acm.org/doi/10.1145/3550495.3558227ae974a485f413a2113503eed53cd6c53
10.1145/3550495.3558227