Fantastic Computational Geometry Test - 47+ MCQs: Computational Geometry Quiz: Test Your Understanding with Challenging Questions and Answers

1. What is the formula for calculating the area of a triangle?

A = 1/2 * base * height

A = base * height

A = length * width

A = pi * r^2

2. Which geometric primitive is defined by two distinct points?

Line

Line Segment

Ray

Vector

3. Which algorithm is commonly used for line segment intersection in computational geometry?

Sweep line algorithm

QuickSort

Marching Cubes algorithm

Bresenham's line algorithm

4. What are the key considerations in handling degenerate cases in geometric algorithms?

Degenerate cases are not encountered in geometric algorithms.

Handling degenerate cases is only relevant in 3D transformations.

Geometric algorithms must account for degenerate cases, such as collinear or coincident points, to ensure robustness and correctness.

Handling degenerate cases is only necessary in network planning.

5. How does the R-tree data structure contribute to spatial indexing in computational geometry?

Polygon triangulation

Efficient range queries

Voronoi diagram construction

Graph connectivity testing

6. What role does the Delaunay triangulation play in computational geometry?

Mesh generation

Polygon decomposition

Convex hull computation

Pathfinding

7. Explain the significance of the Bentley-Ottmann algorithm in computational geometry.

Bentley-Ottmann algorithm is used for sorting points in a space.

The algorithm is irrelevant in computational geometry.

Bentley-Ottmann algorithm is primarily known for its application in the sweep line approach for solving line segment intersection problems.

The algorithm is used for convex hull computation.

8. Discuss the applications of R-tree data structure in spatial data organization and retrieval.

R-tree is used for sorting points in a space.

R-tree is unrelated to computational geometry.

R-tree efficiently stores and queries spatial data, making it valuable in applications such as GIS (Geographic Information Systems) and database indexing.

R-tree is primarily used in mesh generation.

9. Discuss the concept of Euclidean and Manhattan distances in the context of computational geometry.

Euclidean and Manhattan distances are unrelated to computational geometry.

These distances are used for sorting points in a space.

In computational geometry, Euclidean distance is the straight-line distance between two points, while Manhattan distance is the sum of horizontal and vertical distances, playing a role in algorithms for nearest neighbor search.

Euclidean and Manhattan distances are used for line clipping.

10. What is the purpose of the Voronoi diagram in computational geometry?

Finding the convex hull

Dividing a space into regions

Triangulating a set of points

Detecting intersections in a set of line segments

Computational Geometry MCQ Test 4