Slide 1CSE 4101/5101 Prof. Andy Mirzaian Slide 2 TOPICS Augmentation Order Statistics Dictionary Interval Tree Overlapping Windows 2 Slide 3 References: [CLRS] chapter 14…

Slide 1COSC 6114 Prof. Andy Mirzaian Slide 2 References: [Preparata-Shamos85] chapter 1.3 [Edelsbrunner87] chapter 1.6, 4.2, 14 [ORourke98] chapter 6 [Matoušek] Lecture…

Slide 1CSE 4101/5101 Prof. Andy Mirzaian Slide 2 References: [CLRS] chapter 21 Lecture Note 6 [CLRS] chapter 21 Lecture Note 6 2 Slide 3 Disjoint Set Union  Items are…

Slide 1CSE 4101/5101 Prof. Andy Mirzaian Slide 2 CONVEX HULL Example 1: |S| infinite Example 2: |S| finite The rubber-band analogy: Place a rubber-band around S and let it…

Slide 1CSE 4101/5101 Prof. Andy Mirzaian Slide 2 TOPICS  Priority Queues  Leftist Heaps  Skew Heaps  Binomial Heaps  Fibonacci Heaps  Recent Developments…

Slide 1COSC 6114 Prof. Andy Mirzaian Slide 2 General Overview  Introduction  Fundamentals  Duality  Major Algorithms  Open Problems 2D Linear Programming …

Slide 1CSE 4101/5101 Prof. Andy Mirzaian Slide 2 Overview 2 Slide 3 3 Slide 4 Landscape of Computational Geometry Applications: Graphics Robotics Vision GIS CAD VLSI Pattern…

Slide 1CSE 4101/5101 Prof. Andy Mirzaian Slide 2 References: Lecture Note 8 [LN8]LN8 [CLRS] chapter 33 Lecture Note 8 [LN8]LN8 [CLRS] chapter 33 Applications:  Proximity…

Slide 1COSC 6114 Prof. Andy Mirzaian Slide 2 Voronoi Diagram & Delaunay Triangualtion Algorithms  Divide-&-Conquer  Plane Sweep  Lifting into d+1 dimensions…

Slide 1 EECS 3101 Prof. Andy Mirzaian Slide 2 STUDY MATERIAL: [CLRS] chapter 34 [CLRS] chapter 34 2 Slide 3 TOPICS  Preliminaries  Complexity Classes P, NP, co-NP,…