PPT-A Divide-and-Conquer Algorithm for Delaunay Triangulation

CS 268 Gates 219 October 17 300 420 Richard Zhang for Leo G 1 Disclaimer All figures in the slides are for illustration only Best approximations were attempted but preciseness or c. The structure of a divideandconquer algorithm applied to a given problem has the following form Base Case When the instance of the problem is suf64257ciently small return the answer directly or resort to a different usually simpler algorithm that is CS 46101 Section 600. CS 56101 Section 002. . Dr. Angela Guercio. Spring 2010. Analyzing Divide-and-Conquer Algorithms. Use a recurrence to characterize the running time of a divide-and-conquer algorithm.. CIS 606. Spring 2010. Analyzing Divide-and-Conquer Algorithms. Use a recurrence to characterize the running time of a divide-and-conquer algorithm.. Solving the recurrence gives us the asymptotic running time. . March 9, 2012. Speaker:. Meng . Qi. co-authors . : . Thanh-Tung . Cao, Tiow-Seng Tan. 1. Outline. Background. Motivation & Algorithm Overview. GPU-CDT. Proof & Analysis. Experiment Results. +. Delaunay Triangulation. Chrissie Waddington. Harry . Moyse. Mesh Generation. Creating a 3d . polyogonal. shape from data. E.g. :. protein structure from microscope. Fancy 3d graphs. Computer games. Prof. Andy Mirzaian. Voronoi Diagrams. &. Delaunay Triangulations. Voronoi Diagram & Delaunay Triangualtion. . Algorithms . Divide-&-Conquer. Plane Sweep. Lifting into d+1 dimensions. 2011-09-14. Four levels of programmers. Implementation. know the language well, translate idea to programs. Algorithms. Design good solutions. Software engineering. manage different components and people. Divide and Conquer. . The divide-and-conquer. design paradigm. 1. Divide. . the problem (instance). into . subproblems. .. 2. Conquer. . the . subproblems. by. solving them recursively.. 1. Recurrence Relations. Time complexity for Recursive Algorithms. Can be more difficult to solve than for standard algorithms because we need to know complexity for the sub-recursions of decreasing size. . Advanced Algorithms. Computational Geometry. . Prof. Karen Daniels. . Spring, . 2010. Voronoi. Diagrams & Delaunay Triangulations. O’Rourke: Chapter 5. de Berg et al.: Chapters 7, 9 (and a touch of Ch. 8). CS 268 @ Gates 219. October 19, 3:00 – 4:20. Richard Zhang. (for Leo G.). 1. Disclaimer: All figures in the slides are for illustration only. Best approximations were attempted, but preciseness or correctness of the geometric constructions should not be assumed.. Chrissie Waddington. Harry . Moyse. Mesh Generation. Creating a 3d . polyogonal. shape from data. E.g. :. protein structure from microscope. Fancy 3d graphs. Computer games. To generate a simple mesh grid in MATLAB. Vostinar. Grinnell College. Many slides borrowed lovingly from . Skiena. Outline. Homework . reqs. Divide and Conquer. Find the median. Implementation on . HackerRank. No office hours today. Homework requirements. Presentation for use with the textbook, . Algorithm Design and Applications. , by M. T. Goodrich and R. Tamassia, Wiley, 2015. Application: Maxima Sets. We can visualize the various trade-offs for optimizing two-dimensional data, such as points representing hotels according to their pool size and restaurant quality, by plotting each as a two-dimensional point, (x, y), where x is the pool size and y is the restaurant quality score. .