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    Riemannian Geometry for Scientific Visualization

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    Name:
    2022_riemannian_geometry_scivis_tutorial_v0_2.pdf
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    64.58Mb
    Format:
    PDF
    Description:
    Accepted Manuscript
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    Type
    Conference Paper
    Authors
    Hadwiger, Markus cc
    Theußl, Thomas
    Rautek, Peter
    KAUST Department
    Computer Science Program
    Visual Computing Center (VCC)
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    KAUST Visualization Laboratory (KVL)
    Date
    2023-01-31
    Permanent link to this record
    http://hdl.handle.net/10754/687453
    
    Metadata
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    Abstract
    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/10.1145/3550495.3558227
    Publisher
    ACM
    Conference/Event name
    SIGGRAPH Asia '22: ACM SIGGRAPH Asia 2022 Courses
    DOI
    10.1145/3550495.3558227
    Additional Links
    https://dl.acm.org/doi/10.1145/3550495.3558227
    ae974a485f413a2113503eed53cd6c53
    10.1145/3550495.3558227
    Scopus Count
    Collections
    Conference Papers; Computer Science Program; Visual Computing Center (VCC); KAUST Visualization Laboratory (KVL); Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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