This course represents an introduction to computational geometry – a branch of algorithm theory that aims at solving problems about geometric objects. Its application areas include computer graphics, computer-aided design and geographic information systems, robotics, and many others. You will learn to apply to this end various algorithmic approaches, and asses their strong and weak points in a particular context, thus gaining an ability to choose the most appropriate method for a concrete problem. We will cover a number of core computational geometry tasks, such as testing point inclusion in a polygon, computing the convex hull of a point set, intersecting line segments, triangulating a polygon, and processing orthogonal range queries. Special attention will be paid to a proper representation of geometric primitives and evaluation of geometric predicates, which are crucial for an efficient implementation of an algorithm. Each module includes a selection of programming tasks that will help you both to strengthen the newly acquired knowledge and improve your competitive coding skills.
Computational Geometry
Offered By
Computational Geometry
Syllabus - What you will learn from this course
Point inclusion in a polygon
How can it be determined whether you have selected a particular region on an interactive map? This problem is an excellent starting point to get introduced to computational geometry and a variety of its applications!
Convex hulls
Algorithmic processing of finely shaped objects may be computationally expensive. Can they be reasonably approximated, so as to decrease the handling costs? Convex hulls will come at hand!
Intersections
Geographic information systems typically store a vast amount of data in the form of various maps. How can be those efficiently combined to provide an adequate response to our requests? Get acquainted with the key algorithmic aspects underlying map overlay!
Polygon triangulation
In computer graphics, 3D-scenes are commonly represented by complex polygonal models. Do you wonder how those can be processed efficiently? Triangulation stays behind!
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See terms and conditionsInstructors
Alexander S. Kulikov
Visiting Professor
Aliaksei Tolstsikau
Senior lecturer
Kira Vyatkina
Leading ResearcherAbout Saint Petersburg State University
Frequently Asked Questions
When will I have access to the lectures and assignments?
Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.
What will I get if I purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
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Is financial aid available?
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