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2026-09-20 02:38:58 -

Differential Geometry and Continuous Spatio-Temporal Flows in Generative Video Architectures
1. Topological Formulations in Continuous Latent Video Dynamics The progression of synthetic media systems from frame-by-frame interpolation to continuous generative spacetime marks an essential inflection point in digital visual computing. Early deep learning video systems suffered from temporal flickering, spatial degradation, and structural incoherence because they modeled time as discrete...

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2026-09-20 02:47:54 -

Differential Topologies and Manifold Metric Optimization in Latent Generative Graphics
1. Foundations of Differential Topologies in Generative Graphics The mathematics of generative digital imagery has advanced from discrete pixel grid manipulation toward continuous differential geometry over complex latent manifolds. In classical computer graphics, rasterization engines mapped vector primitives into fixed pixel coordinates through rigid linear transformations. Modern deep visual...

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