Lecture topic-BruteForce

Formally a geometric figure is formally convex if

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Unformatted text preview: allest convex polygon enclosing smallest n points on the plane • Convex: – A geometric figure with no geometric convex indentations. – Formally, a geometric figure is Formally, convex if every line segment line connecting interior points is entirely interior points contained within the figure's Non­convex interior. interior. Design and Analysis of Algorithms – Chapter 3 37 Example: Convex Hull Example: Input: p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11 p9 Output: p2,p9,p11,p4,p5,p6,p8,p2 p11 p4 p1 p2 p3 p7 p8 p10 p6 p5 Convex hull: application domain* Convex a Computer visualization, ray tracing • (e.g. video games, replacement of bounding boxes) a Path finding • (e.g. embedded AI of Mars mission rovers) a Geographical Information Systems (GIS) • (e.g. computing accessibility maps) a Visual pattern matching • (e.g. detecting car license plates) a Verification methods • (e.g. bounding of Number Decision Diagrams) a Geometry • (e.g. diameter computation) *slide refer to http://www.montefiore.ulg.ac.be/~briquet/algo3-chullhttp://www.montefiore.ulg.ac.be/~briquet/algo3-chull*slide 20070206.pdf Design and Analysis of Algorithms – Chapter 3 39 C...
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