PPT-Point Set Triangulation I. Height interpolation

II Existence and complexity of a triangulation Outline III Legal Triangulation I Terrain           Terrain Terrain 2dimensional 2D surface in 3D space such that every vertical line intersects . 4101/5101. Polygon. Triangulation. Prof. Andy Mirzaian. References:. . [M. de Berge et al ’00] chapter 3. [Preparata-Shamos’85] chapter 6. [O’Rourke’98] chapter 1. Applications. :. . . Hui. Pan, . Yunfei. . Duan. possible problem in physical measurement . Sometimes know the value of a function f(x) at a set of points, but we don’t have an analytic expression for f(x) that lets us calculate its value at an arbitrary point. . Interpolation Techniques. Patchwise Methods. Local polynomial surface fit. Local trend surfaces (patchwise method). Equal size patches. Separate functions calculated for each patch (typically polynomial). +. 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. Syllabus. Principle . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , Strength of Figures. , . Station marks and Signals,. . 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). and . Downscaling . of. Climate Variables. Jared . Oyler. – FOR 532 . 11/17/2010. Climate Variables. What are the minimum required climate variables to drive an ecosystem model like Biome-BGC?. Surface air temperature. 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. Interpolation and extrapolation. A hypothesis can be used to predict the results of observations or the existence of other phenomena. . There . are two types of predictions that can be made. . One . is called extrapolation; . Hui. Pan, . Yunfei. . Duan. possible problem in physical measurement . Sometimes know the value of a function f(x) at a set of points, but we don’t have an analytic expression for f(x) that lets us calculate its value at an arbitrary point. . 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,. . 1. Principle . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , . Strength of Figures, Station marks and Signals, Satellite station, .