MeshCone: Second-Order Cone Programming for Geometrically-Constrained Mesh Enhancement

MeshCone is a groundbreaking framework that utilizes second-order cone programming to refine meshes guided by reference geometry. This approach addresses the common issue of deformed or degraded meshes produced by both learning-based and classical generation pipelines. By optimizing vertex positions while enforcing smoothness through edge-length regularization, MeshCone achieves impressive results across 56 diverse object categories from ShapeNet and ThreeDScans.

For game developers, the ability to enhance mesh quality rapidly—often in under a second—opens up new possibilities in asset production, particularly in workflows like mesh-from-template and scan-to-CAD alignment. The robust performance and preservation of fine details make MeshCone a valuable tool for quality assurance in production pipelines, ensuring that the final output meets high standards.