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math.NA2025
Discretization and convergence of the ballistic Benamou-Brenier formulation of the porous medium and Burgers equations
Jean-Marie Mirebeau, Erwan Stampfli
We study the discretization, convergence, and numerical implementation of recent reformulations of the quadratic porous medium equation (multidimensional and anisotropic) and Burge…
cs.CV2025
Dynamic Exploration on Segment-Proposal Graphs for Tubular Centerline Tracking
Chong Di, Jinglin Zhang, Zhenjiang Li +3
Optimal curve methods provide a fundamental framework for tubular centerline tracking. Point-wise approaches, such as minimal paths, are theoretically elegant but often suffer from…