The intersection radius of a finite collection of geometrical objects in the plane is the radius of the smallest closed disk that intersects all the objects in the collection. Bhattacharya et al. showed how the intersection radius can be found in linear time for a collection of line segments in the
✦ LIBER ✦
A new O(n·log n) algorithm for computing the intersection of convex polygons
✍ Scribed by Sukhamay Kundu
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 441 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0031-3203
No coin nor oath required. For personal study only.
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Proof. Denote by f (n) the maximum number of times the unit distance can occur among n points in convex position in the plane. Let p 1 , p 2 , ..., p n , in this cyclic order, be the vertices of a convex polygon, for which the maximum is attained. Let G denote the geometric graph obtained by connect
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