sphere | 使用经纬度，归一化正方体，正四面体细分，正二十面体细分来生成球体 | Graphics library

I'm really struggling here and I can't get it right, not even knowing why. I'm using p5.js in WEBGL mode, I want to compute the position of on point rotated on the 3 axes around the origin in order to follow the translation and the rotation given to object through p5.js, translation and rotatation on X axis, Y axis and Z axis.

The fact is that drawing a sphere in 3d space, withing p5.js, is obtained by translating and rotating, since the sphere is created at the center in the origin, and there is no internal model giving the 3d-coordinates.

After hours of wandering through some math too high for my knowledge, I understood that the rotation over 3-axis is not as simple as I thought, and I ended up using Quaternion.js. But I'm still not able to match the visual position of the sphere in the 3d world with the coordinates I have computed out of the original point on the 2d-plane (150, 0, [0]).

For example, here the sphere is rotated on 3 axis. At the beginning the coordinates are good (if I ignore the fact that Z is negated) but at certain point it gets completely out of sync. The computed position of the sphere seems to be completely unrelated:

It's really hours that I'm trying to solve this issue, with no result, what did I miss?

Here it follows my code:

I'm trying the create a 3D subscene with objects being labelled using Label objects in a 2D overlay. I've seen similar questions to mine on this subject, and they all point to using the Node.localToScene method on the node to be labelled in the 3D space. But this doesn't seem to work for my case. I've taken example code from the FXyz FloatingLabels example here:

FloatingLabels.java

The Label objects need to have their positions updated as the 3D scene in modified, which I've done but when I print out the coordinates returned by the Node.localToScene method, they're much too large to be within the application scene, and so the labels are never visible in the scene. I've written an example program that illustrates the issue, set up very similarly to the FXyz sample code but I've created an extra SubScene object to hold the 2D and 3D SubScene objects in order to plant them into a larger application window with slider controls. The 3D scene uses a perspective camera and shows a large sphere with coloured spheres along the x/y/z axes, and some extra little nubs on the surface for reference:

Scenario

I'm using unity c# to re-invent a google-earth like experience as a project. New tiles are asynchronously loaded in from the web while a user pans the camera around the globe. So far I'm able to load in all the TMS tiles based on their x & y coordinates and zoom level. Currently I'm using tile x,y to try and figure out where the tile should appear on my earth "sphere" and it's becoming quite tedious, I assume because of the differences between Euler angles and quaternions.

• I'm using the angle of Camera.main to figure out which tiles should be viewed at any moment (seems to be working fine)
• I have to load / unload tiles for memory management as level 10 can receive over 1 million 512x512 tiles
• I'm trying to turn a downloaded tile's x,y coordinates (2d) into a 3d position & rotation

Question

Using just the TMS coordinates of my tile (0,0 - 63,63) how can I calculate the tile's xyz "earth" position as well as its xyz rotation?

Extra

• in the attached screenshot I'm at zoom level 4 (64 tiles)
• y axis 0 is the bottom of the globe while y axis 15 is the top
• I'm mostly using Mathf.Sin and Mathf.Cos to figure out position & rotation so far

I've figured out how to get the tile position correct. Now I'm stuck on the correct rotation of the tiles.

The code that helped me the most was found with a question about generating a sphere in python.

I modified to the code to look like so:

I am trying to hollow out a sphere, I already achieved this however it is incredibly slow (A few seconds for a sphere with a radius of 5, a few minutes for a sphere with a radius of 100)

This is my code:

I need to find all hit points (vertices) when my meshes collide since with OnHit there is only one Impact point in the structure and there is only one (red debug sphere). Is there any way to do this? (for example in Unity collision struct has an array of these points: collision.contacts)

This is an example when 2 cubes are in contact with the faces and there are many contact points (not 1)

I am using CMake to define the compilation of a C++ executable. The goal is to use 2 third-party libraries, Open3D and OpenCV. I am able to include one of the two with target_link_libraries, but including both results in OpenCV functions not being found.

This is my current CMakeLists.txt

How do you define the material on a custom geometry from vertex data, so that it renders the same as 'typical' SCNNodes?

In this scene there are

• A directional light
• A red sphere using physicallybased lighting model
• A blue sphere using physicallybased lighting model
• A custom SCNGeometry using vertex data, using a physicallybased lighting model

The red and blue spheres render as I would expect. The two points / spheres in the custom geometry are black.

Why?

Here is the playgrond code:

Setting the scene

I'm having trouble with the slow computation of my Python code. Based on the pycallgraph below, the bottleneck seems to be the module named miepython.miepython.mie_S1_S2 (highlighted by pink), which takes 0.47 seconds per call.

The source code for this module is as follows:

I need a way to make a 3-dimensional surface plot using millions of datapoints, so I began checking into pyvista which is supposed to do this well. However, pyvista is a bit difficult for me to grasp.

I have x,y,z data where x is time, y is different measurements, and z is the values for those measurements. All I want is for pyvista to show me a surface plot with this information.

For example, if I use this array in matplotlib or other libraries with surface plots: