TopoGS: Planar Reconstruction via Topology-Aware 3D Gaussian Splatting

Extracting structured, parametric 3D representations fromraw images remains a fundamental challenge in computer vision andgraphics. While recent advancements in the 3D Gaussian Splatting (3DGS)pipeline integrate planar primitives to yield compact and editable geom-etry, these approaches typically treat planes as isolated, discrete sets.This lack of topological connectivity hinders robust geometric reasoning,leading to fragmented reconstructions and misaligned boundaries thatfall short of the precision for rigorous spatial analysis and professionaldesign workflows. To address this, we introduce TopoGS, the first 3DGSframework to explicitly integrate both planar and topological constraintsfor coherent 3D reconstruction. Specifically, we extract global 2D topo-logical relationships from multi-view image segmentations and anchorGaussian primitives to these structural elements. This formulation en-ables the joint optimization of plane parameters, rendering fidelity, andtopological adjacency. By enforcing strict multi-view consistency along-side these topological constraints, our method significantly mitigates ge-ometric misalignments and produces connected, structured 3D models.Extensive evaluations on the ScanNet++ dataset demonstrate that To-poGS achieves state-of-the-art performance, providing a highly robustsolution for generating accurate, topologically sound, and visually faith-ful scene representations.