Delaunay | API to create a Delaunay triangulation | 3D Printing library

I need to do Delaunay Triangulation for a set of 3D points. I wrote an script for it (below), but it seems to that the output has no tetrahedrons in them. Please give me some inputs/ideas. I am using Python3. Thank you very much.

I have coded the laplacien function for a non-regular mesh (created with the scipy.spatial.Delaunay function). I have not errors but the results are not correct : the eigenvectors are correct but the eigenvalues ​​are too high (in absolute value).

My application uses CGAL to create a tetrahedral mesh. The input are six patches (each of them in the form of an OFF-file) forming the boundary of the domain as well as a file with the feature edges (which are the interfaces between the patches).

Thanks to the help I got here and here again, it has worked perfectly many times. However, recently I came across this seemingly inocuous example:

Note that the bottom patch is a mesh of a cylinder, i.e., the domain is not convex.

This fails with the following error message

I'm using a Delaunay triangularization to convert a scatter plot to a surface. To animate this plot, I want to update the trisurf handle instead of creating a new trisurf plot to reduce overhead and to increase the plotting speed.

Basically, in a for loop, I want to update the properties of the trisurf handle h to obtain the same plot that calling trisurf again would yield.

MWE

I've been trying to add a (code pen) animation on my website and I'm honestly not sure what I'm missing on this one. I have tried running it in jsfiddle as well and it tells me that delaunay is not defined. https://codepen.io/hduffin1/pen/QOMZJg I'm not too sure what I'm doing wrong since the code works inside of code pen and I have been able to replicate other ones that I've tried using from code pen but for whatever reason, I can't seem to get this one to work.

Html

I have a list of XYZ-points that are arranged in an evenly spaced lattice in the XY-plane like so (for example):

I want to 'tile' the space between these points with triangles that connect a point to two of its immmediate (up to) eight neigbors, like so:

How do I efficiently go about doing this in Python? A naive approach would check every point for eight possible triangles, but this is hugely inefficient due to considering many many duplicate triangles. Doing something like considering the possible triangles in the lower-right corner for each point, will miss some triangles. Is there some general algorithm for this problem?

I believe Delaunay triangulation is not appropriate, as it will always create a convex triangulation.

This triangulation is a step in the process of generating 3D-meshes of buildings from LIDAR height-data. When I use the 'usual' algorithms for generating meshes from point clouds (poisson, pivoting ball), I end up with meshes that have a number of holes in them (especially at steep inclines like towers or walls). I hope I can fix a lot of these hole problems by recognizing that the point cloud forms an evenly spaced lattice in the XY-plane and triangulating it from that perspective as described above.

I want to use Delaunay triangulation to build a submarine terrain model, but I thought about the difference between it and land terrain modeling for a long time, but I didn't want to understand the difference between them, so I want to ask you about it, thank you for your answer.

I am fairly new to Python, and I have been tasked to make a script that creates a plot of a Delaunay triangulation. I have successfully done so, but I need the colors of the points to change based on how many neighbors the plots have. I have a function that defines the number of neighbors and puts all points into a dictionary with the number of neighbors as the key. However, I don't know how to apply that dictionary to my plot - is there a specific function where you can take the plot created with triplot and change the colors based on an outside dictionary? Here is my code so far:

I am trying to use the function Delaynay of scipy to generate a tetrahedral mesh. From the source code provided here, I have make something as followed: