Results 251 to 260 of about 170,748 (298)

Notes on Projective Differential Geometry [PDF]

open access: possible, 2008
Projective differential geometry was initiated in the 1920s, especially by Elie Cartan and Tracey Thomas. Nowadays, the subject is not so well-known. These notes aim to remedy this deficit and present several reasons why this should be done at this time.
M. Eastwood
semanticscholar   +3 more sources

Projective Differential Geometry [PDF]

open access: possible, 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.
Kichoon Yang
semanticscholar   +2 more sources

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
openaire   +1 more source

Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers

, 2020
We study an isomorphism between the group of rigid body displacements and the group of dual quaternions modulo the dual number multiplicative group from the viewpoint of differential geometry in a projective space over the dual numbers.
Hans-Peter Schrocker   +2 more
semanticscholar   +1 more source

Projective Differential Geometry of One-Parameter Families of Space Curves, and Conjugate Nets on a Curved Surface

, 1915
In a preceding paper,t we have laid the foundations for a purely projective theory of conjugate nets on a surface and for the related theories of a oneparameter filmily of space curves and the congruence of tangents thereto.
G. M. Green
semanticscholar   +1 more source

Projective Differential Geometry

The American Mathematical Monthly, 1933
(1933). Projective Differential Geometry. The American Mathematical Monthly: Vol. 40, No. 10P1, pp. 568-579.
openaire   +2 more sources

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