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计算几何 | Computational Geometry

In this introductory computer science course, explore geometry, develop geometric thinking, and learn geometric algorithms. 体味几何之趣,领悟算法之美

计算几何 | Computational Geometry

There is one session available:

9,088 already enrolled! After a course session ends, it will be archived.
Starts May 17
Ends Dec 31
Estimated 16 weeks
6–8 hours per week
Progress at your own speed
Optional upgrade available

About this course

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Geometry can be traced back to ancient Greece, but Computational Geometry evolved less than 40 years as a branch of computer science. The Computational Geometry taught in this course is derived from classical discrete/combinatorial geometry and modern computer science.

Computational Geometry first appeared on the horizon when M. I. Shamos presented his Ph.D. dissertation in 1978. Since then, this phrase has been used to refer to algorithmic study on discrete and combinatorial geometric structures and can also be regarded as the geometric version of Algorithm Design and Analysis. Computational Geometry is now considered the basis of robotics, computer aided design and manufacturing (CAM and CID), and geographic information systems (GIS).

众所周知,几何学的历史至少可追述至古希腊时代,但不同人对“计算几何”的理解却不尽相同。本课程讨论的计算几何,源自于古典离散/组合几何学与现代计算机科学的结合。M. I. Shamos在1978年完成的博士论文,标志着这个学科分支的诞生。从那时起,“计算几何”往往特指针对离散与组合几何结构的算法研究。简而言之,她也可认为是算法设计与分析的几何版。



At a glance

  • Institution: TsinghuaX
  • Subject: Computer Science
  • Level: Advanced
  • Prerequisites:
    • C++ programming
    • Fundamentals of Data Structures & Algorithms
  • Language: 中文

What you'll learn

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  • Awareness of Computational Geometry theory that will help students incorporate Computational Geometry into their future research
  • Comprehensive understanding on fundamental paradigms/strategies for solving geometric problems, incremental construction, plane sweeping
  • Essential geometric structures and algorithms such as polygon decompositions, Voronoi diagrams, Delaunay triangulations

About the instructors

Who can take this course?

Unfortunately, learners from one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. edX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.

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