Geometric Algorithms
Master computational geometry: Learn efficient algorithms for analyzing and manipulating spatial data in various applications.
Master computational geometry: Learn efficient algorithms for analyzing and manipulating spatial data in various applications.
This course provides a comprehensive introduction to geometric algorithms, focusing on computational methods for solving problems related to geometric shapes and their properties. It covers key techniques and concepts needed for the design and analysis of efficient geometric algorithms and data structures. The curriculum is structured around three main modules: Plane Sweep Algorithms, Voronoi Diagrams and Delaunay Triangulations, and Orthogonal Range Searching. Students will learn to apply these techniques to real-world problems in areas such as robotics, computer graphics, virtual reality, and geographic information systems. The course emphasizes both theoretical understanding and practical implementation through programming assignments.
4.4
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What you'll learn
Understand and implement plane sweep algorithms for efficient line segment intersection
Master the concepts of Voronoi diagrams and Delaunay triangulations, including their properties and construction
Learn randomized incremental construction techniques and their analysis
Gain proficiency in orthogonal range searching using KD trees and range trees
Analyze and compare different data structures for geometric problems
Develop skills in designing efficient algorithms for various geometric problems
Skills you'll gain
This course includes:
1 Hours PreRecorded video
11 assignments
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There are 3 modules in this course
This course offers a comprehensive exploration of geometric algorithms, focusing on computational methods for solving problems related to geometric shapes and their properties. It is structured into three main modules: Plane Sweep Algorithms, Voronoi Diagrams and Delaunay Triangulations, and Orthogonal Range Searching. The curriculum covers essential techniques and concepts for designing and analyzing efficient geometric algorithms and data structures. Students will learn to apply these techniques to real-world problems in areas such as robotics, computer graphics, virtual reality, and geographic information systems. The course combines theoretical understanding with practical implementation through programming assignments and quizzes, providing students with both conceptual knowledge and hands-on experience in computational geometry.
Plane Sweep Algorithms
Module 1 · 6 Hours to complete
Voronoi diagrams and Delaunay triangulations
Module 2 · 6 Hours to complete
Orthogonal range searching
Module 3 · 4 Hours to complete
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Instructor
Expert in Computational Geometry at EIT Digital
Dr. Kevin Buchin is a prominent researcher and educator in the field of computational geometry, currently associated with EIT Digital. He holds a PhD from the Technical University of Dortmund, where he also serves as a professor. His research interests encompass algorithm engineering, spatial networks, and algorithms for geographic information systems (GIS) and motion planning. Dr. Buchin has published extensively on topics such as trajectory analysis and geometric algorithms, contributing significantly to advancements in these areas. He is also an instructor for the "Geometric Algorithms" course offered through Coursera, where he teaches essential concepts and techniques for designing and analyzing geometric algorithms applicable in various domains, including robotics and computer graphics.
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4.4 course rating
24 ratings
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