2004
DOI: 10.1142/s0218195904001469
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Good News: Partitioning a Simple Polygon by Compass Directions

Abstract: Motivated by geographic information retrieval, we study the problem of partitioning a simple polygon into four parts that can be considered as the North, East, West, and South. We list criteria for such partitionings, propose formalizations into geometric problems, and give efficient algorithms. An implementation and tests on country outlines show the results for three different partitionings.

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Cited by 31 publications
(15 citation statements)
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“…This list partially coincides with that of [12], [14]. In Sections 5.2, we discuss various choices of centre respectively.…”
Section: Organisational Principles For Models Of Interpretationmentioning
confidence: 80%
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“…This list partially coincides with that of [12], [14]. In Sections 5.2, we discuss various choices of centre respectively.…”
Section: Organisational Principles For Models Of Interpretationmentioning
confidence: 80%
“…The problem of determining direction-based sectors was also addressed in [14]. That body of work addressed only the four cardinal directions, and presented both criteria for splitting the original, as well as efficient algorithms for determining the extents of sectors, meeting those criteria.…”
Section: Related Workmentioning
confidence: 99%
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“…The problem of determining direction-based sectors was also addressed in van Kreveld and Reinbacher (2004), who addressed only the four cardinal directions. They presented criteria for splitting the original region, and efficient algorithms for determining the extents of sectors, meeting those criteria.…”
Section: Related Workmentioning
confidence: 99%