'Art gallery problem' diaporamas de présentation

Polygon Triangulation

Polygon Triangulation. ??? ?? ?. Art Gallery Problem. Want to cover all areas Assume that the art gallery is a simple polygon Does not intersect itself How many cameras do we need? Where do we put it? Getting an exact solution is NP-hard We just want to get a lower bound. Triangulation.

1.14k views • 67 slides

The Maths of Pylons , Art Galleries and Prisons Under the Spotlight

The Maths of Pylons , Art Galleries and Prisons Under the Spotlight. John D. Barrow. Some Fascinating Properties of Straight Lines. O O O O O O O O O. O O O O O O O O O. O O O O O O O O O. Draw 4 lines through all 9 points The pencil must not leave the paper.

484 views • 37 slides

COSC 6114

585 views • 36 slides

Applied Combinatorics, 4th Ed. Alan Tucker

Applied Combinatorics, 4th Ed. Alan Tucker. Section 2.4 Coloring Theorems Prepared by Amanda Dargie. Triangulation of a polygon. The process of adding a set of straight-line chords between pairs of vertices of a polygon so that all interior regions of the graph are bounded by a triangle

420 views • 20 slides

Chapter 1

Chapter 1. Introduction. Why Do We Need to Study Algorithms?. To learn strategies to design efficient algorithms. To understand the difficulty of designing good algorithms for some problems, namely NP-complete problems. Consider the Sorting Problem. Sorting problem:

282 views • 16 slides

The Art Gallery Problem

The Art Gallery Problem Presentation for MA 341 Joseph Dewees December 1, 1999 What is the art gallery problem? You own an art gallery and want to place security cameras so that the entire gallery will be safe from theives. Where should you place the cameras?

1.01k views • 13 slides

The Art Gallery Problem

The Art Gallery Problem camera How many cameras are needed to guard a gallery and How should they be placed? Simple Polygon Model Model the art gallery as a region bounded by some simple polygon (no self-crossing). Regions with holes are not allowed. convex polygon one camera

640 views • 11 slides

Section 2.4

Tucker, Applied Combinatorics, Sec. 2.4, Prepared by Whitney and Cody. Section 2.4. Coloring Theorems.

306 views • 11 slides