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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 Differential Geometry of Nondevelopable Surfaces. I

open access: yesProjective Differential Geometry of Nondevelopable Surfaces. I
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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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Projective Differential Geometry

1999
In this chapter we give a discussion of projective submanifolds in general, and revisit a few examples (quadrics, in particular) that are important for a number of different reasons. We use thee technique of moving frames a la Elie Cartan. This technique is effective in uncovering various degeneracy phenomena as regards projective subvarieties.
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