mathematics

Otfried Cheong

Otfried Cheong is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Otfried Cheong rather than just read about it. In short: Otfried Cheong (Korean: 오트프리드 정; formerly Otfried Schwarzkopf) is a German computational geometer working in South Korea at KAIST. He is known as one of the authors of the widely used computational geometry textbook Computational Geometry: Algorithms and Applications (with Mark de Berg, Marc van Kreveld, and Mark Overmars) and as the developer of Ipe, a vector graphics editor.

Key takeaways

Otfried Cheong belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Otfried Cheong to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Otfried Cheong from memory before moving on to harder problems.

Reference excerpt

Otfried Cheong (Korean: 오트프리드 정; formerly Otfried Schwarzkopf) is a German computational geometer working in South Korea at KAIST. He is known as one of the authors of the widely used computational geometry textbook Computational Geometry: Algorithms and Applications (with Mark de Berg, Marc van Kreveld, and Mark Overmars) and as the developer of Ipe, a vector graphics editor.

Education Cheong completed his doctorate from the Free University of Berlin in 1992 under the supervision of Helmut Alt.

Career He joined KAIST in 2005, after previously holding positions at Utrecht University, Pohang University of Science and Technology, Hong Kong University of Science and Technology, and the Eindhoven University of Technology. Cheong was co-chair of the Symposium on Computational Geometry in 2006, with Nina Amenta.

Awards and honors In 2017, he was recognized by the Association for Computing Machinery as an ACM Distinguished Member.

References

External links Otfried Cheong publications indexed by Google Scholar Home page

Worked examples

Example 1 — a first encounter with Otfried Cheong

Start with the simplest possible case. Write down what Otfried Cheong claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Otfried Cheong before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Otfried Cheong ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Otfried Cheong

In research: Otfried Cheong appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Otfried Cheong in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Otfried Cheong is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century German mathematicians, 21st-century German mathematicians, 21st-century South Korean mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Otfried Cheong outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Otfried Cheong in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Otfried Cheong means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Otfried Cheong out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Otfried Cheong in simple terms?

Why does Otfried Cheong matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Otfried Cheong?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Otfried Cheong.