The.Algorithm.Design.Manual.Springer-Verlag.1998
The.Algorithm.Design.Manual.Springer-Verlag.1998 The.Algorithm.Design.Manual.Springer-Verlag.1998
Triangulation dynamic programming, as discused in Section . Related Problems: Voronoi diagrams (see page ), polygon partitioning (see page ). Next: Voronoi Diagrams Up: Computational Geometry Previous: Convex Hull Algorithms Mon Jun 2 23:33:50 EDT 1997 file:///E|/BOOK/BOOK4/NODE186.HTM (4 of 4) [19/1/2003 1:31:39]
Voronoi Diagrams Next: Nearest Neighbor Search Up: Computational Geometry Previous: Triangulation Voronoi Diagrams Input description: A set S of points . Problem description: Decompose space into regions around each point such that all the points in the region around are closer to than they are to any other point in S. Discussion: Voronoi diagrams represent the region of influence around each of a given set of sites. If these sites represent the locations of McDonald's restaurants, the Voronoi diagram partitions space into cells around each restaurant. For each person living in a particular cell, the defining McDonald's represents the closest place to get a Big Mac. Voronoi diagrams have a surprising variety of uses: ● Nearest neighbor search - For a query point q, finding its nearest neighbor from a fixed set of points S is simply a matter of determining which cell in the Voronoi diagram of S contains q. See Section for more details. ● Facility location - Suppose McDonald's wanted to open another restaurant. To minimize interference with existing McDonald's, it should be located as far away from the closest restaurant as possible. This location is always at a vertex of the Voronoi diagram, and it can be found in a file:///E|/BOOK/BOOK4/NODE187.HTM (1 of 4) [19/1/2003 1:31:41]
- Page 517 and 518: Independent Set Next: Vertex Cover
- Page 519 and 520: Independent Set Related Problems: C
- Page 521 and 522: Vertex Cover Vertex cover and indep
- Page 523 and 524: Traveling Salesman Problem Next: Ha
- Page 525 and 526: Traveling Salesman Problem practice
- Page 527 and 528: Traveling Salesman Problem Size is
- Page 529 and 530: Hamiltonian Cycle Eulerian cycle, p
- Page 531 and 532: Graph Partition Next: Vertex Colori
- Page 533 and 534: Graph Partition annealing, is almos
- Page 535 and 536: Vertex Coloring Several special cas
- Page 537 and 538: Vertex Coloring Notes: An excellent
- Page 539 and 540: Edge Coloring The minimum number of
- Page 541 and 542: Graph Isomorphism Next: Steiner Tre
- Page 543 and 544: Graph Isomorphism vertices into equ
- Page 545 and 546: Steiner Tree Next: Feedback Edge/Ve
- Page 547 and 548: Steiner Tree The worst case for a m
- Page 549 and 550: Feedback Edge/Vertex Set Next: Comp
- Page 551 and 552: Feedback Edge/Vertex Set An interes
- Page 553 and 554: Computational Geometry complete bib
- Page 555 and 556: Robust Geometric Primitives Next: C
- Page 557 and 558: Robust Geometric Primitives ● Are
- Page 559 and 560: Robust Geometric Primitives Related
- Page 561 and 562: Convex Hull ● How many dimensions
- Page 563 and 564: Convex Hull http://www.cs.att.com/n
- Page 565 and 566: Triangulation Next: Voronoi Diagram
- Page 567: Triangulation GEOMPACK is a suite o
- Page 571 and 572: Voronoi Diagrams McDonald's, the ti
- Page 573 and 574: Nearest Neighbor Search Next: Range
- Page 575 and 576: Nearest Neighbor Search Implementat
- Page 577 and 578: Range Search Next: Point Location U
- Page 579 and 580: Range Search subdivisions in C++. I
- Page 581 and 582: Point Location the n edges for inte
- Page 583 and 584: Point Location More recently, there
- Page 585 and 586: Intersection Detection ● Do you w
- Page 587 and 588: Intersection Detection Implementati
- Page 589 and 590: Bin Packing Next: Medial-Axis Trans
- Page 591 and 592: Bin Packing approach for general sh
- Page 593 and 594: Medial-Axis Transformation Next: Po
- Page 595 and 596: Medial-Axis Transformation Implemen
- Page 597 and 598: Polygon Partitioning number of piec
- Page 599 and 600: Simplifying Polygons Next: Shape Si
- Page 601 and 602: Simplifying Polygons vertices and o
- Page 603 and 604: Shape Similarity Next: Motion Plann
- Page 605 and 606: Shape Similarity or how close it is
- Page 607 and 608: Motion Planning There is a wide ran
- Page 609 and 610: Motion Planning often arise in the
- Page 611 and 612: Maintaining Line Arrangements Think
- Page 613 and 614: Maintaining Line Arrangements Next:
- Page 615 and 616: Minkowski Sum where x+y is the vect
- Page 617 and 618: Set and String Problems Next: Set C
Triangulation<br />
dynamic programming, as discused in Section .<br />
Related Problems: Voronoi diagrams (see page ), polygon partitioning (see page ).<br />
Next: Voronoi Diagrams Up: Computational Geometry Previous: Convex Hull<br />
<strong>Algorithm</strong>s<br />
Mon Jun 2 23:33:50 EDT 1997<br />
file:///E|/BOOK/BOOK4/NODE186.HTM (4 of 4) [19/1/2003 1:31:39]
Change language