“Look, Ma, No Matrices!” by De Keninck – ACM SIGGRAPH HISTORY ARCHIVES

“Look, Ma, No Matrices!” by De Keninck

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Title:

    Look, Ma, No Matrices!

Session/Category Title:   Less Work, More Perf


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Abstract:


    In this talk, we’ll show how one can use PGA (Plane-based geometric algebra) for industry standard tangent space normal-mapping, with 25% less vertex storage, for a comparable computational cost.

References:


    [1]
    Marc Ten Bosch. 2020. N-dimensional rigid body dynamics. ACM Trans. Graph. 39, 4, Article 55 (aug 2020), 6 pages. https://doi.org/10.1145/3386569.3392483
    [2]
    Johann Brehmer, Pim de Haan, Sönke Behrends, and Taco Cohen. 2023. Geometric Algebra Transformer. arxiv:2305.18415 [cs.LG]
    [3]
    Charles G. Gunn and Steven De Keninck. 2019. Geometric Algebra and Computer Graphics. In ACM SIGGRAPH 2019 Courses (Los Angeles, California) (SIGGRAPH ’19). Association for Computing Machinery, New York, NY, USA, Article 12, 140 pages. https://doi.org/10.1145/3305366.3328099
    [4]
    Steven De Keninck. 2024. Look, Ma, No Matrices!https://enkimute.github.io/LookMaNoMatrices/.
    [5]
    David Ruhe, Jayesh K. Gupta, Steven de Keninck, Max Welling, and Johannes Brandstetter. 2023. Geometric Clifford Algebra Networks. arxiv:2302.06594 [cs.LG]


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