Self Intersecting Faces on a Volumetric Mesh of a Tube

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Ruth Bennett
Ruth Bennett 2019-11-15
回答： Shubham 2024-9-3
Hello, have unique xyz coordinates (x,y,z) in a 2D matrix which I am trying to use as the boundaries of a volumetric mesh of a tube. I have been able to make a triangulation using alphashape, however when I go to make the mesh it has self-intersecting faces utilizing Tetgen. I do not have the CAD model and the mesh is quite large - is there a way to fix the self intersecting faces or prevent them from happening?
shp = alphaShape(x,y,z);
[faces, vertices] = boundaryFacets(shp);
TR = triangulation(faces,vertices);
meshOutput=runTetGen(inputStruct);
Thank you,
Ruth

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回答（1 个）

Shubham
Shubham 2024-9-3
Hi Ruth,
Dealing with self-intersecting faces in a volumetric mesh can be challenging, especially with large datasets. Here are some strategies you can consider to address this issue:
1. Preprocessing the Data
  • Clean the Input Data: Ensure that the input coordinates are free from noise and duplicates. You can use techniques like clustering to remove outliers or use a small epsilon to merge nearly identical points.
  • Simplify the Geometry: If the dataset is too large, consider simplifying the geometry using techniques like point cloud decimation or mesh simplification algorithms (e.g., Quadric Error Metrics).
2. Adjusting Alpha Shape Parameters
  • Tune Alpha Value: The alpha parameter in alphaShape controls the detail level of the shape. A smaller alpha value might result in fewer self-intersections as it creates a tighter fit around the data points.
alphaValue = 0.1; % Adjust this value as needed
shp = alphaShape(x, y, z, alphaValue);
3. Post-processing the Mesh
  • Remove Self-intersections: Use mesh repair tools available in software like MeshLab or MATLAB functions to detect and correct self-intersections.
  • Use Mesh Smoothing: Apply smoothing algorithms to reduce sharp angles or irregularities that might lead to self-intersections.
4. Debugging
  • Visualize Problem Areas: Use visualization tools to identify where the self-intersections occur. This might give you insights into why they are happening and how to fix them.
  • Iterative Approach: Start with a smaller subset of your data to understand the behavior of the meshing process, then gradually increase the complexity.

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