Geometry processing is an area for manipulation and analysis of 3d geometry.
A lot of geometry processing tasks are similar to traditional signal processing tasks such as filtering, reconstruction, down sampling, up sampling, and compression. However, there are also unique tasks such as flattening a surface and resampling.
Geometry Representations
See: 3d geometry
There are a lot of way to represent geometries, which we can roughly categorize into implicit or explicit. Triangle mesh is the most commonly used representation.