PPT-Polygon Triangulation

전진우 손명 배 Art Gallery Problem Want to cover all areas Assume that the art gallery is a simple polygon Does not intersect itself How many cameras do we need Where do we put it. By. : . Team Math. tables found on wikepedia under polygons. Resource Page. Polygon names. . Name. Sides. triangle. (or trigon). 3. quadrilateral. (or tetragon). 4. pentagon. 5. hexagon. 6. heptagon. 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. :. . . Semantic Web Browsers. Helen Oliver. Patty Kostkova. Ed de Quincey. City eHealth Research Centre (CeRC). City University London. User-Centred Evaluation of Semantic Web Browsers. The Semantic Web for Life Sciences. 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. Syllabus. Principle . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , Strength of Figures. , . Station marks and Signals,. Introduction to Spatial Computing CSE 555. Some slides adapted from . Worboys. and . Duckham. (2004) . GIS: A Computing Perspective. , Second Edition, CRC Press. Few Common Geometric Algorithms. Distance and Angle between points. 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. Computational Geometry (EECS 396/496) – October 2nd, 2017. Art Gallery Problems. Problem. : Given an art gallery, place cameras which put together can see the whole gallery.. The cameras can’t move, but can rotate 360°.. 10/28 with practice on 10/29. I . can . name and classify . a polygon given the number of . sides and vertices.. I can find the interior angles of a polygon using the Polygon Angle Sum . Theorem. I can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem. You have two figures that each show a regular . polygon (with . a given . side length) . just touching two circles. . What is the area of the annulus, i.e. the area enclosed by the circles, in terms of . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , Strength of Figures. , . Station marks and Signals,. . I. . -monotone polygon.  . II. Partitioning a simple polygon into . -monotone pieces.  . III. Triangulating a . -monotone polygon .  . Brute-Force Triangulation . 1. Find a diagonal.. 2. Triangulate the two resulting subpolygons recursively.. 1. Principle . of . Trilateration. Reduction . of . observation. Principle . and classification . of . Triangulation . System. Triangulation chains. , . Strength of Figures, Station marks and Signals, Satellite station, . II. Existence and complexity of . a triangulation. Outline: . III. Legal Triangulation. I. Terrain.  .  .  .  .  . Terrain. Terrain. : 2-dimensional (2D) surface in 3D . space such that every vertical line intersects .