cgal | The public CGAL repository , see the README | Image Editing library

I would like to extract the medial axis of a MultiPolygon using CGAL.

Looking through the CGAL documentation I only see functions to make a straight skeleton.

How can I use CGAL to get the medial axis?

I have two meshes who represent two different heads, as in not geometrically identical, but have the same topology. Also, a subset of those points represents the same features on the human face, i.e the tip of the nose, chin, angle of mouth, and so on; they are used in the topology transfer algorithm from which the modified mesh comes from.

Now, while the topologies match, as in the two meshes have the same points numbers, and the points are connected in the same way, the object are not optimally oriented in space.

I'm looking for the name of the optimization step that would better align the two meshes, and whether this concept somehow already exists in CGAL.

The distance between the two meshes could be just the sum of the distances between the matching points, or something more subtle which could give more weight to the points close to the landmarks used in the earlier step. Any linear transformation is admissible, but the ones that make more sense in this context are translations, rotations and scaling.

Files are here is you're interested in having a look

I want to draw 3d segments, and the camera can rotate, so that I can observe the segments from various perspectives. I wonder if there is a way to draw them with CGAL? I know that CGAL is not specific for visualization, so the question itself may be some kind of silly. But it will be really helpful for me if it has this function, because I have some experience with CGAL.
I have tried to learn OpenGL, but it's not possible for me to master it in a short time. And I don't want to spend much time to learn OpenGL, because I will not use it again in future work.
If CGAL doesn't have this function, could you please recommend some lightweight open source libraries which can draw 3d segments? I don't need a very feature-rich, but huge library. One easy to use and lightweight is best for me. Thanks a lot!

I installed with brew the CGAL C++ library. After doing cmake . in the first basic example , I do make and I got a sequence of errors, the first one and most important is:

The question is clear from the title. I tried a ton of variants of

Created simple program based on 8.3 Example: a Constrained Delaunay Triangulation. And just wanna to export it to some common mesh file format like vtk, msh etc, to be able open it in GMesh or ParaView. To do so I found that most straightforward way is to use write_VTU. And at the beginning and at the end of example code I added next:

Problem description
I wonder if there is a way to change the color of mesh displayed by the function CGAL::draw(). I have a Surface_mesh, I want to draw it with CGAL. So I use the function CGAL::draw(), but the color of mesh is blue, which is not pretty in my view. I tried to change the code of CGAL to change the color. I found a functor called DefaultColorFunctorFaceGraph in a header file called draw_face_graoh.h, there is an annotation above the definition of DefaultColorFunctorFaceGraph, which says "// Default color functor; user can change it to have its own face color". I change the functor, in which I change the return value to CGAL::IO::gray(), but it doesn't work at all, the color of mesh is still blue.
So can I change the color of mesh by changing the code of CGAL? Is it necessary to change lower level code such as some codes calling OpenGL?

Code
Here is an example about the way I use the function draw().

Problem description
I have a list which contains many triangle_3 objects. It should look like a closed surface mesh, but I don't use a Surface_mesh to represent it for many reasons. However, I really want to check it, so I want to draw it. I read CGAL manual, but I didn't find any functions that I can use on Windows. I found a function named draw_triangles in the Geomview package, but the user manual of this package says "The functionality described in this chapter is not available on Windows". It seems that it is not possible to use draw_triangles function in my programming environment. How can I draw the triangles?
Programming environment
windows x64
VS 2017
CGAL 5.3

Problem description

I want to calculate all intersections between a ray and a surface mesh which was built from points cloud using the function CGAL::advancing_front_surface_reconstruction(). The cost of time matters very much for me. So I want to use the package named Fast Intersection and Distance Computation. But when I built AABBtree from a surface mesh by the function tree(), a bug occurs. The IDE's bugs list shows: '' can not transform to CGAL::AABB_face_graph_triangle_primitive from "initializer list".
I use the kernel named CGAL::Exact_predicates_inexact_constructions_kernel when I reconstruct mesh from points cloud with CGAL::advancing_front_surface_reconstruction(), but a Simple_cartesian kernel is required in the Fast Intersection and Distance Computation. Is that the main reason? How can I use the two program package together?

Code

The code is as follows: