Algorithms in a Nutshell

(^272) | Chapter 9: Computational Geometry Input/Output Input A set ofn line segmentsS in the Cartesian plane. Output The full s ...

LineSweep | 273 Computational Geometry segment in the left subtree and rightmost segment in the right subtree. The ordering of s ...

(^274) | Chapter 9: Computational Geometry Figure 9-17. LineState class Example 9-3. LineSweep Java implementation public class ...

LineSweep | 275 Computational Geometry intersections (ILineSegment[] segs){ // construct Event Queue from segments. Ensure that ...

(^276) | Chapter 9: Computational Geometry When the initialEventQueueis initialized with 2nEventPointobjects, each stores theILi ...

LineSweep | 277 Computational Geometry In Figure 9-14, when the event point representing the lower point*for segment S6 was inse ...

(^278) | Chapter 9: Computational Geometry member (e) Determine whether the given element is a member of the queue. Note that th ...

LineSweep | 279 Computational Geometry Thus theline state will never store more thannline segments. The operations that probe th ...

(^280) | Chapter 9: Computational Geometry In the worst case—that is, when there are O(n^2 ) intersections among the line segmen ...

Nearest Neighbor Queries | 281 Computational Geometry Perhaps we could partition the plane intok^2 bins of some fixed sizembym,a ...

(^282) | Chapter 9: Computational Geometry A kd-tree is a recursive binary tree structure whose nodes contain points and a coord ...

Nearest Neighbor Queries | 283 Computational Geometry Output Given the pointsP, a kd-tree is computed. For each query pointx, a ...

(^284) | Chapter 9: Computational Geometry Context When comparing this approach against a brute-force approach that compares the ...

Nearest Neighbor Queries | 285 Computational Geometry The select operation was described in the solution section of “Quicksort” ...

(^286) | Chapter 9: Computational Geometry Figure 9-21. kd-tree core concepts Example 9-5. Nearest Neighbor Queries implemented ...

Nearest Neighbor Queries | 287 Computational Geometry The key to understanding NEARESTNEIGHBORis that we first locate the region ...

(^288) | Chapter 9: Computational Geometry computed so far; this method (found in this book’s code repository) exits immedi- ate ...

Nearest Neighbor Queries | 289 Computational Geometry From this random data, the number of double recursions appears to be on th ...

(^290) | Chapter 9: Computational Geometry The results in Figure 9-23 confirm that as the number of dimensions increases, the be ...

Nearest Neighbor Queries | 291 Computational Geometry Variations In the described implementation, the methodnearesttraverses fro ...