Internal:PODM 3D

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 (A)
      1. I created a Cube image with Dimensions 110x110x110. I executed PODM with volume grading on.
      2. The 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
         }
         

      3. Output:
      4. Output Description: it seems like it's diagonal. And my first guess is that this happends because with add circumcenters, which can be out of a tetrahedron
   5. Implement adaptivity in 3D inside sizingFunction using Christos Code (B)
8. Identify places in the code where δ varies with regards to background values (C)
9. Test if multiple δ work using synthetically generated image data (D)
10. Need extra test cases from Gagik for Adaptivity (E)