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  "path": "/abs/2604.12631v1",
  "publishedAt": "2026-04-15T00:00:00.000Z",
  "site": "https://arxiv.org",
  "tags": [
    "Chenming Gao",
    "Hongwei Lin",
    "Gengchen Li"
  ],
  "textContent": "**Authors:** Chenming Gao, Hongwei Lin, Gengchen Li\n\nIn the realm of computer-aided design (CAD) software, the intersection of B-spline surfaces stands as a fundamental operation. Despite the extensive history of surface intersection algorithms, the challenge of handling complex intersection topologies persists. While subdivision algorithms have demonstrated strong robustness in computing surface/surface intersection and are capable of addressing singular cases, determining the topology of the intersection obtained through these methods is a key factor for calculating correct intersection, and remains a difficult issue. To address this challenge, we propose a Mapper-based method for determining the topology of the intersection between two B-spline surfaces. Our algorithm is designed to efficiently handle various common and complex intersection topologies. Experimental results verify the robustness and topological correctness of this method.",
  "title": "Topology Understanding of B-Spline Surface/Surface Intersection with Mapper"
}