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define PGA when first used
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enkimute committed Feb 28, 2024
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Expand Up @@ -76,13 +76,13 @@ <H1>Look, Ma, No Matrices!</H1>
data-animB="4"
></SPAN>

<p>Since the 2019 SIGGRAPH course [1], Geometric Algebra, and Euclidean PGA in particular,
has been gaining traction within the computer graphics and machine learning communities
[2, 3, 4]. Despite its broad applicability, including for higher dimensional geometry
and physics, its adoption in traditional 3D graphics has been limited, often merely re-branding a
dual quaternion as a PGA motor. The ’Look, Ma, No Matrices!’ project aims to broaden PGA’s
application by introducing a modern, glTF-compliant, forward-rendering 3D engine that fully
integrates the PGA algebra.
<p>Since the 2019 SIGGRAPH course [1], Geometric Algebra, and Euclidean PGA (plane-based or
projective geometric algebra) in particular, has been gaining traction within the computer
graphics and machine learning communities [2, 3, 4]. Despite its broad applicability,
including for higher dimensional geometry and physics, its adoption in traditional 3D
graphics has been limited, often merely re-branding a dual quaternion as a PGA motor.
The ’Look, Ma, No Matrices!’ project aims to broaden PGA’s application by introducing
a modern, glTF-compliant, forward-rendering 3D engine that fully integrates the PGA algebra.
</p>

<p>In this write up, we will go over this project, highlighting the solutions and techniques that
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