Computational Geometry Questions Medium
The main difference between 2D and 3D computational geometry lies in the dimensionality of the geometric objects being considered.
In 2D computational geometry, the focus is on studying and analyzing geometric objects that exist in a two-dimensional plane. These objects include points, lines, polygons, circles, and other planar shapes. The algorithms and techniques used in 2D computational geometry are designed to solve problems related to these objects, such as determining intersections, convex hulls, triangulations, and shortest paths.
On the other hand, 3D computational geometry deals with objects that exist in three-dimensional space. This includes points, lines, planes, polyhedra, spheres, and other three-dimensional shapes. The algorithms and techniques used in 3D computational geometry are more complex compared to 2D, as they need to consider the additional dimension. Problems in 3D computational geometry involve determining intersections, convex hulls, surface reconstruction, visibility, and collision detection in three-dimensional space.
In summary, the main difference between 2D and 3D computational geometry is the dimensionality of the geometric objects being studied and the complexity of the algorithms and techniques used to solve problems related to these objects.