What are the different types of geometric intersection problems in Computational Geometry?

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What are the different types of geometric intersection problems in Computational Geometry?

In Computational Geometry, there are several types of geometric intersection problems that are commonly encountered. Some of the main types include:

1. Point-line intersection: This problem involves determining whether a given point intersects with a given line segment or line.

2. Line-line intersection: This problem focuses on finding the intersection point(s) between two given lines or line segments.

3. Circle-circle intersection: Here, the goal is to find the intersection points between two given circles.

4. Circle-line intersection: This problem involves determining whether a given circle intersects with a given line segment or line, and if so, finding the intersection point(s).

5. Polygon-polygon intersection: This problem deals with finding the intersection area or boundary between two given polygons.

6. Polygon-line intersection: Here, the objective is to determine whether a given polygon intersects with a given line segment or line, and if so, finding the intersection point(s) or line segment(s).

7. Ray-curve intersection: This problem focuses on finding the intersection point(s) between a given ray (half-line) and a given curve, such as a Bézier curve or a spline.

8. Surface-surface intersection: In 3D computational geometry, this problem involves finding the intersection curve or area between two given surfaces.

These are just a few examples of the different types of geometric intersection problems in Computational Geometry. Each problem type may have its own algorithms and techniques for efficient computation and solution.