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Geodesic-informed Generative Diffusion Model For Topology-preserved Image Video Generation

arXiv · AI, language, vision and robotics · article · Sep 8, 2026 · UTC

Generative diffusion models have emerged as a class of powerful techniques for various imaging applications, including but not limited to synthesis, reconstruction, and segmentation. Despite their success, current generative models pose two key limitations. First, they primarily rely on image intensity and texture information, with limited attention to underlying object geometry. As a result, they do not guarantee geometric or topological consistency during the generation process, which is a crucial requirement for high-stakes domains such as computational anatomy, biology, and robotics, where

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