HoloTetSphere: Unified TetSphere Mesh Reconstruction for Physical Simulations

Standard pipelines for physics-ready 3D reconstruction relyon a decoupled two-stage paradigm: extracting surface geometry followedby an error-prone tetrahedralization process. While recent Lagrangianmethods like TetSphere Splatting attempt to bypass this by directlyoptimizing volumetric primitives, their homeomorphic constraints pre-vent topology-adaptive optimization. Consequently, they produce dis-joint tetrahedra rather than a single connected mesh, rendering thestructures unsuitable for further physical simulations. To address this,we propose a topology-adaptive framework for holistic tetrahedral meshreconstruction through end-to-end topological and geometric optimiza-tion. First, by coupling Gaussian spheres to tetrahedral elements andleveraging edge connections, we estimate a continuous opacity field fordifferentiable element pruning. Next, jointly minimizing mesh smoothingenergy and multi-view Gaussian rendering error drives alternating geo-metric refinement while preserving topological adaptivity. Consequently,our approach effectively constructs a unified and topologically coherenttetrahedral mesh. Extensive experiments demonstrate that our methodoutperforms state-of-the-art techniques by achieving superior geometricaccuracy and producing coherent, single-connected tetrahedral meshes,thereby effectively bypassing the error-prone conventional tetrahedraliza-tion step for reconstructed surface meshes and streamlining downstreamphysical simulation.