This algorithm will give a time complexity ofO(H)O(H),HHbeing the number of vertices on the hull. This algorithm has been tested on tasks which ask for this answer, including the famous "Robert Hood". I plan to release the code for it soon, after I finish some refactoring (the code ...
The input of the problem consists of the visibility graph G, a Hamiltonian cycle describing the boundary of P, and a parameter δ∈ (0, 1) controlling the probability of error of the algorithm. The algorithm does not require the coordinates of the vertices of P. With probability at least ...
It consists of a set of UGTs, and is represented by the (ordered) sequence of its vertices, which are grid points. Its interior is defined as the set of points with integer coordinates lying inside it. An inner triangular polygon (or simply inner polygon) tightly inscribes A such that ...
It depends entirely on the shape that you are trying to find the surface area of. For a cube, simply add up the areas of each side: http://study.com/academy/lesson/how-to-find-the-surface-area-of-a-cube.html For a cylinder there is a different formula altogether: http://study.com...
LSP(n), the largest small polygon with n vertices, is a polygon with a unit diameter that has a maximal of area A(n). It is known that for all odd values n≥3, LSP(n) is a regular n-polygon; however, this statement is not valid even for values of n. Find
To avoid collisions, it is desirable not only to know the location of the obstacles, but also be able to predict the coordinates of the object for the near future. To solve this task will help a genetic algorithm. But computation speed has been optimized by parallelizing this algorithm, ...
T = Triangulation (Nx3 matrix with polygon vertices). If not given the delaunay triangulation of X,Y is used. Output: triangulation .Points: nx2 matrix with points' coordinates. .ConnectivityList: nx3 matrix with the triangulation polygons. ...
Withexact_computation=Truethe distance to every polygon edge is computed (way more complicated), instead of just evaluating the distances to all the vertices. This only makes a real difference when polygons are very close. Withreturn_distances=Truethe output looks like this: ...
1. Introduction Active sensing for 3D face model acquisition still re- quires costly devices thus many proposed methods recover 3D face shape from 2D images or projections. Some of these are based on a direct approach which obtains 3D lo- cation of points on the face through dense 2D ...
global positioning system coordinates, are determined based on relative distance determined between the selected position and polygon vertices to transform the origin map co-ordinates to destination map co-ordinates. The maps are selected between illustrative and topographic maps. An independent claim is...