PPT-Art Gallery Problems and Polygon Triangulation

Computational Geometry EECS 396496 October 2nd 2017 Art Gallery Problems Problem Given an art gallery place cameras which put together can see the whole gallery The cameras cant move but can rotate 360. Learner Objective: Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems.. Learner Objective: Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems.. Sarah Cannon Diane . Souvaine. Andrew Winslow. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. 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. 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?. Sarah Cannon Diane . Souvaine. Andrew Winslow. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. Art gallery problems. 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. 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 .