Geometric Algorithms
- Offered byCoursera
Geometric Algorithms at Coursera Overview
Duration | 18 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course |
Credential | Certificate |
Geometric Algorithms at Coursera Highlights
- Shareable Certificate Earn a Certificate upon completion
- 100% online Start instantly and learn at your own schedule.
- Flexible deadlines Reset deadlines in accordance to your schedule.
- Intermediate Level
- Approx. 18 hours to complete
- English Subtitles: English
Geometric Algorithms at Coursera Course details
- Course Information: In many areas of computer science such as robotics, computer graphics, virtual reality, and geographic information systems, it is necessary to store, analyze, and create or manipulate spatial data. This course deals with the algorithmic aspects of these tasks: we study techniques and concepts needed for the design and analysis of geometric algorithms and data structures. Each technique and concept will be illustrated on the basis of a problem arising in one of the application areas mentioned above.
- Goals:
- At the end of this course participants should be able
- - to decide which algorithm or data structure to use in order to solve a given basic geometric problem,
- - to analyze new problems and come up with their own efficient solutions using concepts and techniques from the course.
- Prerequisites:
- In order to successfully take this course, you should already have a basic knowledge of algorithms and mathematics. Here's a short list of what you are supposed to know:
- - O-notation, ?-notation, ?-notation; how to analyze algorithms
- - Basic calculus: manipulating summations, solving recurrences, working with logarithms, etc.
- - Basic probability theory: events, probability distributions, random variables, expected values etc.
- - Basic data structures: linked lists, binary search trees, etc.
- - Graph terminology
- - Programming skills for practical assignments
- Most of the material in this course is based on the following book:
- M. de Berg, O. Cheong, M. van Kreveld, and M. Overmars. Computational Geometry: Algorithms and Applications (3rd edition). Springer-Verlag, 2008.
- It is not mandatory to buy this book. However if participants want to know more than is offered in this course or want to have another look at the material discussed in the lectures, we recommend buying this book.
- The video lectures contain a few very minor mistakes. A list of these mistakes can be found under resources. If you think you found an error, report a problem by clicking the square flag at the bottom of the lecture or quiz where you found the error.
Geometric Algorithms at Coursera Curriculum
Plane Sweep Algorithms
Introduction
Plane Sweep: Concept
Data Structures for Plane Sweep Algorithms
Line Sweep: Missing Parts
Plane Sweep: Concept
Data Structures for Plane Sweep Algorithms
Line Sweep: missing parts
Line Sweep Algorithms
Voronoi diagrams and Delaunay triangulations
Voronoi Diagrams
Voronoi Diagrams: Structure
Complexity of Voronoi Diagrams
Delaunay Triangulations
Angle-Optimal Triangulations
Legal Triangulations
Randomized Incremental Construction
Randomized Incremental Construction: Analysis
Voronoi
Triangulations
Randomized incremental construction
Voronoi Diagrams and Delaunay triangulations
Orthogonal range searching
Introduction to Range Searching
1D Range Searching
KD Trees
Queries in KD-Trees
Range Trees
Range Trees: Extensions
KD-trees
Range Trees
KD and range trees