Definition
A voxel grid is a regular 3D grid in which each cell (voxel) indicates whether that part of space is occupied. It is intuitive, but memory-intensive: the number of cells grows with the cube of the resolution.
Memory
for a grid with resolution along each axis.
Voxels are a volumetric representation. An image is a 2D voxel grid (pixels), so CNNs extend naturally to voxels with 3D convolutions, as in 3D ShapeNets.
Appears in
- Lecture 1, 3D representations: volumetric representation for shapes
- Lecture 1, History: 3D ShapeNets (2015) learns shapes on a voxel grid with CNNs
- Lecture 6.1, Voxel grids and octrees: trilinear interpolation, , octrees
- Lecture 6.1, Hybrid: voxel feature grids
- Lecture 6.2, Voxel-based approaches: VoxNet, OctNet, loss of detail by quantization