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Pixel and voxel are not commensurable. A pixel is a display hardware concept. A voxel is more comparable to a texel.

https://en.wikipedia.org/wiki/Texel_(graphics)

Texels and Voxels can be square/cubic, such as in video game applications where it is accepted and exploited as a fundamental esthetic: worlds are textured with tiled mosaics which reveal their square unit when approached closely, and ditto for worlds made of voxels.

A voxel as a sample of a solid, for instance from a computed tomography, where the fidelity of the reconstruction matters, is subject to different requirements.



Both the word “pixel” and the word “voxel” are commonly used in both of these different senses. I believe the word “voxel” was created to be explicitly a 3D analog of a 2D “pixel”.

For example, you can also have “pixel art”, drawings made up of little squares, which only loosely have to do with pixels as samples for a raster image or physical camera detector elements or physical display elements. https://en.wikipedia.org/wiki/Pixel_art




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