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A math blog post arguing that the projective plane and homogeneous coordinates should be taught bottom-up, motivated by eliminating exceptional cases (like vertical lines and points at infinity) rather than presented as arbitrary abstractions, with examples from graphics programming and elliptic curve cryptography.
A quantitative framework called PDI-Bench is introduced for evaluating geometric coherence in generated videos through monocular reconstruction and projective-geometry residuals, revealing geometry-specific failure modes in video generators.