EIT Digital

Geometric Algorithms

Taught in English

Some content may not be translated

7,540 already enrolled

Course

Gain insight into a topic and learn the fundamentals

Kevin Buchin

Instructor: Kevin Buchin

4.4

(22 reviews)

Intermediate level
Some related experience required
17 hours to complete
3 weeks at 5 hours a week
Flexible schedule
Learn at your own pace

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Assessments

11 quizzes

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There are 3 modules in this course

In this module we will discuss an algorithm for line segment intersection that does not only depend on the input size, i.e. the number of line segments, but also on the output size, i.e. the number of intersections. This algorithm uses the Plane Sweep technique, which is applicable to many algorithmic problems in the Euclidean plane.

What's included

4 videos4 quizzes2 programming assignments1 discussion prompt

In this module we will introduce the notions of Voronoi diagrams and Delaunay triangulations and its properties. Furthermore we will an algorithm for constructing Delaunay triangulations using the technique of randomized incremental construction. We will see how to analyze these types of algorithms.

What's included

8 videos4 quizzes2 programming assignments1 discussion prompt

In this module we will introduce the problem of range searching. We will first look at the one dimensional case and later on generalize to higher dimensions. We will see two data structures that allow for range searching, namely KD Trees and Range Trees. We will compare them by looking at construction time, space usage and query time.

What's included

6 videos3 quizzes1 discussion prompt

Instructor

Kevin Buchin
EIT Digital
1 Course7,540 learners

Offered by

EIT Digital

Recommended if you're interested in Algorithms

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