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Projective Differential Geometry and Linear Differential Equations

open access: yesProjective Differential Geometry and Linear Differential Equations
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INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY

open access: yesINTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
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Projective Sampling for Differentiable Rendering of Geometry

ACM Transactions on Graphics, 2023
Discontinuous visibility changes at object boundaries remain a persistent source of difficulty in the area of differentiable rendering. Left untreated, they bias computed gradients so severely that even basic optimization tasks fail. Prior path-space methods addressed this bias by decoupling boundaries from the interior, allowing each part to
Zhang, Ziyi   +2 more
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Projective Differential Geometry

The American Mathematical Monthly, 1933
(1933). Projective Differential Geometry. The American Mathematical Monthly: Vol. 40, No. 10P1, pp. 568-579.
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On the Projective Differential Geometry of Conjugate Nets

American Journal of Mathematics, 1931
Es wird eine neue analytische Behandlungsweise eines (konjugierten) Kurvennetzes auf einer Fläche des dreidimensionalen projektiven Raumes angegeben, wobei auf die Symmetrie der Formeln in bezug auf die beiden Scharen von Netzkurven besonderes Gewicht gelegt wird.
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