Internal:PODM 3D

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  1. Read PODM3D paper✔
  2. Install all PODM3D libraries✔
  3. Compile PODM3D code✔
  4. Restructure repository of PODM3D based on Software engineering standards✔
  5. Execute PODM3D✔
  6. Read Guaranteed Quality Tetrahedral Delaunay Meshing for Medical Images paper (Sect. 9)
  7. Create an extra Rule which will be a user defined sizingFunction that gets a tetrahedron when all rules are met✔
    1. Create UML diagrams to understand the code and the Meshing Procedure in general✔
    2. Create a list of functions that need to be modified to implement the extra Rule ✔
    3. Modify the created list (Extra Rule sizing Function list) of functions✔
    4. Create a test sizing function to understand if modifications have been done correctly✔
      1. The test sizing function is
        bool checkSizingFunction(double coordinatesOfTetrahedron**)
        {
            double volume = volume(coordinatesOfTetrahedron);
            double* baryCenter = baryCenter(coordinatesOfTetrahedron)
            
            // if x axis <= 55 and volume of tetrahedron > 10
            if (baryCenter[0] <= 55 && volume > 10)
               return true;
            else
               return false
        }
        
      2. Podm Result of Cube image with Dimensions 110x110x110 and Sphere image with radius = 55, volume grading on and δ=10
        1. Cube: CubeTestSizingFunction
        2. Sphere: SphereTestSizingFunction
  8. Implement Adaptivity in 3D inside sizingFunction using Christos Code:
    1. Implement Adaptivity in 3D✔
    2. Podm Result of Gagic Data image with volume grading on and δ=6, minimum Volume Size = 0.5, limit = 0.1
      1. 2D (Triangle): Nt2DAdaptivity (Done by Christos)
      2. 3D (PODM): Nt3DAdaptivity
    3. Handle cases with negative weight (rescale them)
    4. Test Adaptivity with extra images (cases) from Gagik Gavalian
    5. Create Sizing Function pointer
  9. Create a video of the Meshing Process:
    1. Produce the meshes for the Meshing Process video and the next January report✔
    2. Create the video
  10. Identify places in the code where δ varies with regards to background values
  11. Test if multiple δ work using synthetically generated image data