4 papers
Computing Smooth Geodesics under Two-Sided Curvature Bounds with Applications to Robotics and Image Analysis
Da Chen, Zhenjiang Li, Jean-Marie Mirebeau +4
Curvature of planar curves serves as a key regularization term for computing second-order minimal paths, due to its tight relevance to desirable geometric properties such as smooth…
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…
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…
Unbalanced L1 optimal transport for vector valued measures and application to Full Waveform Inversion
Gabriele Todeschi, Ludovic Métivier, Jean-Marie Mirebeau
Optimal transport has recently started to be successfully employed to define misfit or loss functions in inverse problems. However, it is a problem intrinsically defined for positi…