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Schrödinger Bridges on Discretized Geometric Domains

SessionDifferentiable Geometry Processing & Flow Maps

DescriptionWe introduce a spatially discrete formulation of the Schrödinger bridge problem on meshes and grids that enables structure-preserving interpolation between probability distributions. We demonstrate our approach across mesh- and grid-based applications, including displacement interpolation, shape interpolation, and color histogram manipulation, highlighting its ability to achieve geometric fidelity with computational efficiency.

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