【笔记】Polygon mesh processing 学习笔记(7)

本文探讨了几何模型修复的重要性和常见问题,包括修复孤立点、悬挂边、奇点、拓扑噪声等缺陷。修复过程涉及识别上游和下游应用的需求,选择合适的算法或序列。不同的输入类型如扫描模型、NURBS曲面等,修复方法各异,包括表面修复、一致性法线定向、洞填充和体素化修复。虽然存在自动化工具,但人工交互往往仍不可或缺。

多边形网格处理(7)

7. Repairing

Definetion

Problem statement

  • Model repair, removing artifacts from a geometric model, generate output suitable for further processing by downstream applciations that require centain quality guarantees.

Application dependent

  • Depends on the particular application scenario:
    • “models”
    • “artiface”
    • “Suitable for further processing”
  • One application (CAD/CAM)
    • Models, trimmed NURBS surfaces to represent freeform surface geometry
    • Numerical fluid simulations needs a watertight, manifold triangle mesh as input (Downstream applications)
    • Intermediate stage: convert the NURBS surface into a triangle mesh. Introducing meshing artifaces
    • REPAIR: usually a tedious manual post-process

Repairing Guidelines

  • What is the upstream applications? Determines characteristics and defects of input.
  • What is the downstream applications? Determines requirements on output.
  • Based on this information. is it necessary to repair the input?
    • If necessary, is there an algorithm that does it directly?
      • If direct repair is not possibl, can several algorithms be used insequence?
        • If not, there is a gap in the state-of-the-art.

Defects and flaws

  • Isolated vertices and dangling edges (孤立的点和悬挂的边)
  • Singular edg
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