The Diameter of the Link Center in a Simple Polygon
碩士 === 逢甲大學 === 應用數學系 === 88 === In [1] L. Tseng gives a linear time algorithm for computing an approximate link diameter which differs from the exact diameter by ±1 error. The proof of the correctness of his algorithm was based on some intuitive observation. In this thesis, we prove some...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2000
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| Online Access: | http://ndltd.ncl.edu.tw/handle/73552213948807297021 |
| Summary: | 碩士 === 逢甲大學 === 應用數學系 === 88 === In [1] L. Tseng gives a linear time algorithm for computing an approximate link diameter which differs from the exact diameter by ±1 error. The proof of the correctness of his algorithm was based on some intuitive observation.
In this thesis, we prove some properties of the link center in a polygon. The main theorem is: In a polygon, the link diameter of the link center is less than or equal to 3. We also provide proofs for those intuitive observations in [1], and thus make the correctness of Tseng’s algorithm complete.
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