3D Representations: Difference between revisions

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===Volume===
===Volume===
A volume is a dense 3D dataset <math>F: \mathbb{R}^2 \to \mathbb{R}</math> where the value at each position <math>(x,y,z)</math> corresponds to a density.<br>
A volume is a dense 3D dataset <math>F: \mathbb{R}^3 \to \mathbb{R}</math> where the value at each position <math>(x,y,z)</math> corresponds to a density.<br>
Volume rendering is used project a 3D volume into a 2D image by sampling the volume along a ray for each pixel in the 2D image.<br>
Volume rendering is used project a 3D volume into a 2D image by sampling the volume along a ray for each pixel in the 2D image.<br>
Also known as a radiance field.
Also known as a radiance field. These can be encoded as explicit functions or neural networks.


===Signed Distance Field===
===Signed Distance Field===