06-CG-Geometry
Various representations of geometry
Implicit Representations of Geometry
Based on classifying points
Points satisfy some specified relationship
algebraic surface
level sets
distance functions
Pros:
- Easy to distinguish inside and outside
Cons:
- Hard to find points
Explicit
- point cloud
- polygon mesh
- subdivision, NURBS
All points are given directly or via parameter mapping
Pros:
- Easy to draw the shape
Cons:
- Hard to distinguish inside and outside
Best Representation Depends on the Task!