PPT-Randomized Incremental Algorithm for Delaunay Triangulation

CS 268 Gates 219 October 19 300 420 Richard Zhang for Leo G 1 Disclaimer All figures in the slides are for illustration only Best approximations were attempted but preciseness or correctness of the geometric constructions should not be assumed. CS648. . Lecture . 25. Derandomization. using conditional expectation. A probability gem. 1. Derandomization. using . conditional expectation. 2. Problem 1. : Large cut in a graph. Problem:. Let . Subsystems. Testing and Incremental Testing. Identify Subsystems and Incremental Testing Opportunities. Subsystems. A major part of a system which itself has the characteristics of a system, usually consisting of several components.. +. 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. Dan . Maljovec. CPU Delaunay Triangulation. Randomized Incremental Algorithm. Construct Bounding triangle. Choose point to insert randomly. Locate triangle containing point. Construct new children triangles by connecting new point to each point of containing triangle. Shengliang. . Dai. Background . Queries over large scale (petabyte) data bases often mean waiting overnight for a result to come back. . Scale costs time. . Potential. . avenues of exploration are ignored because the costs are perceived to be too high to run or even propose them. . Dr. . Tathagata. Ray. Assistant Professor, BITS . Pilani. , Hyderabad Campus. rayt@hyderabad.bits-pilani.ac.in. . . Introduction to Meshes. The Mesh Generation is the discretization of a given domain into simpler elements such as triangles or quadrilaterals (2D) and tetrahedra or hexahedra (3D). . Power Grid. Chia Tung Ho, Yu Min Lee, Shu Han Wei,. a. nd Liang Chia Cheng. 1. /39. March 30 – April 2, ISPD. Contact us. Chia Tung Ho. (CAD Dept. . Macronix. Intl. Co., Ltd. . Hsinchu. , Taiwan),. CS 268 @ Gates 219. October 17, 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 c. אנה גלייזר 19.12.11. על מה נדבר היום. :. טריאנגולציות . DELAUNAY . טריאנגולציות מיוחדות:. טריאנגולציה ממשקל מינימלי – . MWT. 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. INF 4130, 15th November 2016 Petter Kristiansen Today: 1. Triangulation. No book, the slides are the curriculum 2. Finding the convex hull. Textbook, 8.6.2 29th November: Last year´s exam Delaunay Triangulations. Michael Goodrich. with slides from Carola . Wenk. 2. Triangulation. Let . be a finite set of points in the plane.. A . triangulation of . P. . is a simple, plane (i.e., planar embedded), connected graph . 1. Principle . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , . Strength of Figures, Station marks and Signals, Satellite station, .