寻求C++框架实现曲面网格的晶格结构自动填充生成

Hey there, since you’ve already nailed the manual lattice infill workflow in Meshmixer and now want to automate this process for surface meshes (working with implicit domains), here are some solid C++ frameworks and practical pointers to help you out:

Recommended Frameworks #

• LibIGL

  • This is a staple for geometry processing tasks in C++. It has robust support for mesh operations, implicit domain handling, and provides a flexible foundation to build your lattice generation logic on.
  • Start by converting your surface mesh into a signed distance field (SDF) — LibIGL has utilities to compute this efficiently. From there, you can implement your desired lattice patterns (hexagonal, octet-truss, etc.) by sampling the implicit domain and retaining only the lattice elements that lie within the bounds of your target shape.
  • Bonus: It plays nicely with tools like TetGen if you need to combine lattice infill with a solid core mesh.

• OpenVDB

  • While OpenVDB is widely used for volumetric data handling, it’s perfect for working with implicit domains. You can represent your surface mesh as an SDF stored in a sparse VDB grid, which is optimized for fast volumetric computations.
  • To generate lattices, define the implicit function for your desired pattern (e.g., repeating cylinders or beams) and compute its intersection with your target domain’s SDF. You can then convert the resulting volumetric data back to polygon meshes for the final lattice structure. It’s especially great for complex, large-scale domains.

• CGAL (Computational Geometry Algorithms Library)

  • CGAL offers extensive mesh generation capabilities, including first-class support for implicit surfaces and volumetric meshing.
  • For lattice infill, use its implicit domain meshing tools to set up a background grid, then generate lattice struts/elements that are contained within the implicit domain defined by your surface mesh. You can fully customize the lattice pattern by adjusting spacing, strut shape, and connectivity.
  • CGAL’s robust boolean operations also come in handy if you need to refine the lattice by intersecting or subtracting it with other geometric shapes.

Quick Implementation Tips #

• Start with an SDF: Converting your input surface mesh to a signed distance function is the critical first step for working with implicit domains in all these frameworks. It simplifies checking whether a lattice element falls inside your target shape.
• Parametric Lattice Definitions: Use mathematical functions to define repeating lattice patterns (e.g., a grid of lines offset in 3D for octet-truss). This makes it easy to scale and adjust the pattern as needed.
• Mesh Cleanup: After generating the lattice, use the framework’s mesh processing utilities to merge duplicate vertices, remove redundant faces, and ensure the final mesh is watertight if needed.

内容的提问来源于stack exchange，提问作者MaxWell