Computational Geometry Questions
The fundamental data structures used in Computational Geometry are:
1. Point: Represents a single point in space, typically defined by its coordinates (x, y, z).
2. Line: Represents a straight line segment connecting two points.
3. Polygon: Represents a closed shape formed by a sequence of connected line segments.
4. Triangle: A polygon with three sides and three vertices.
5. Circle: Represents a set of points equidistant from a center point.
6. Half-plane: Represents a region bounded by a line.
7. Convex Hull: Represents the smallest convex polygon that encloses a set of points.
8. Quadtree: A tree data structure used to partition a 2D space into smaller regions for efficient spatial indexing.
9. Voronoi Diagram: Represents the partitioning of a plane into regions based on the distance to a set of points.
10. Delaunay Triangulation: Represents a triangulation of a set of points such that no point is inside the circumcircle of any triangle.
These data structures are essential for performing various geometric algorithms and solving problems in Computational Geometry.