PPT-Delaunay Triangulation on the GPU

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. 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). . . 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. Paths . derived. . from. . TIN-based. Digital . Elevation. . Models. Graduate. . student. :. Henrique . Rennó. de Azeredo Freitas. Advisors. :. Sergio Rosim. João Ricardo de Freitas Oliveira. 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. 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). . 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. . 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. 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 . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , Strength of Figures. , . Station marks and Signals,. .