TopoSculpt: Betti-Steered Topological Sculpting of 3D Fine-grained Tubular Shapes

ArXi:2509.03938v2 Announce Type: replace Medical tubular anatomical structures are inherently three-dimensional conduits with lumens, enclosing walls, and complex branching topologies. Accurate reconstruction of their geometry and topology is crucial for applications such as bronchoscopic navigation and cerebral arterial connectivity assessment. Existing methods often rely on voxel-wise overlap measures, which fail to capture topological correctness and completeness.