課程信息
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中級

完成時間大約為12 小時

建議:3 weeks of study, 5-6 hours/week...

英語(English)

字幕:英語(English)

100% 在線

立即開始,按照自己的計劃學習。

可靈活調整截止日期

根據您的日程表重置截止日期。

中級

完成時間大約為12 小時

建議:3 weeks of study, 5-6 hours/week...

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間為 7 小時

Plane Sweep Algorithms

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.

...
4 個視頻 (總計 25 分鐘), 6 個測驗
4 個視頻
Plane Sweep: Concept6分鐘
Data Structures for Plane Sweep Algorithms8分鐘
Line Sweep: Missing Parts4分鐘
4 個練習
Plane Sweep: Concept15分鐘
Data Structures for Plane Sweep Algorithms20分鐘
Line Sweep: missing parts20分鐘
Line Sweep Algorithms15分鐘
2
完成時間為 7 小時

Voronoi diagrams and Delaunay triangulations

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.

...
8 個視頻 (總計 45 分鐘), 6 個測驗
8 個視頻
Voronoi Diagrams: Structure4分鐘
Complexity of Voronoi Diagrams4分鐘
Delaunay Triangulations5分鐘
Angle-Optimal Triangulations6分鐘
Legal Triangulations5分鐘
Randomized Incremental Construction4分鐘
Randomized Incremental Construction: Analysis10分鐘
4 個練習
Voronoi15分鐘
Triangulations15分鐘
Randomized incremental construction20分鐘
Voronoi Diagrams and Delaunay triangulations15分鐘
3
完成時間為 4 小時

Orthogonal range searching

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.

...
6 個視頻 (總計 43 分鐘), 3 個測驗
6 個視頻
1D Range Searching6分鐘
KD Trees5分鐘
Queries in KD-Trees7分鐘
Range Trees7分鐘
Range Trees: Extensions10分鐘
3 個練習
KD-trees20分鐘
Range Trees20分鐘
KD and range trees30分鐘

講師

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Kevin Buchin

Dr
Eindhoven University of Technology, Mathematics and Computer Science

關於 EIT 数字

EIT Digital is a pan-European organization whose mission is to foster digital technology innovation and entrepreneurial talent for economic growth and quality of life. By linking education, research and business, EIT Digital empowers digital top talents for the future. EIT Digital provides online and blended Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 leading technical universities around Europe. The universities deliver a unique blend of the best of technical excellence and entrepreneurial skills and mindset to digital engineers and entrepreneurs at all stages of their careers. The academic partners support Coursera’s bold vision to enable anyone, anywhere, to transform their lives by accessing the world’s best learning experience. This means that EIT Digital gradually shares parts of its entrepreneurial and academic education programmes to demonstrate its excellence and make it accessible to a much wider audience. EIT Digital’s online education portfolio can be used as part of blended education settings, in both Master and Doctorate programmes, and for professionals as a way to update their knowledge. EIT Digital offers an online programme in 'Internet of Things through Embedded Systems'. Achieving all certificates of the online courses and the specialization provides an opportunity to enroll in the on campus program and get a double degree. Please visit https://www.eitdigital.eu/eit-digital-academy/ ...

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