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Greedy Triangulation
The Greedy Triangulation is a method to compute a polygon triangulation or a Point set triangulation A triangulation of a set of points \mathcal in the Euclidean space \mathbb^d is a simplicial complex that covers the convex hull of \mathcal, and whose vertices belong to \mathcal. In the plane (when \mathcal is a set of points in \mathbb^2), tri ... using a greedy schema, which adds edges one by one to the solution in strict increasing order by length, with the condition that an edge cannot cut a previously inserted edge. Chapter 3: Polygon Triangulation: pp.103. References {{reflist Triangulation (geometry) Optimization algorithms and methods ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Search Algorithm
In computer science, a search algorithm is an algorithm designed to solve a search problem. Search algorithms work to retrieve information stored within particular data structure, or calculated in the Feasible region, search space of a problem domain, with Continuous or discrete variable, either discrete or continuous values. algorithms are Although Search engine (computing), search engines use search algorithms, they belong to the study of information retrieval, not algorithmics. The appropriate search algorithm often depends on the data structure being searched, and may also include prior knowledge about the data. Search algorithms can be made faster or more efficient by specially constructed database structures, such as search trees, hash maps, and database indexes. Search algorithms can be classified based on their mechanism of searching into three types of algorithms: linear, binary, and hashing. Linear search algorithms check every record for the one associated with a tar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polygon Greedy Triangulation Steps
In geometry, a polygon () is a plane (mathematics), plane Shape, figure that is described by a finite number of straight line segments connected to form a closed ''polygonal chain'' (or ''polygonal circuit''). The bounded plane region (mathematics), region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its ''edge (geometry), edges'' or ''sides''. The points where two edges meet are the polygon's ''Vertex (geometry), vertices'' (singular: vertex) or ''corners''. The interior of a solid polygon is sometimes called its ''body''. An ''n''-gon is a polygon with ''n'' sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly. A polygonal boundary may be allowed to cross over itself, creating star polygons and other list of self-intersecting ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Priority Queue
In computer science, a priority queue is an abstract data-type similar to a regular queue or stack data structure in which each element additionally has a ''priority'' associated with it. In a priority queue, an element with high priority is served before an element with low priority. In some implementations, if two elements have the same priority, they are served according to the order in which they were enqueued; in other implementations ordering of elements with the same priority remains undefined. While coders often implement priority queues with heaps, they are conceptually distinct from heaps. A priority queue is a concept like a list or a map; just as a list can be implemented with a linked list or with an array, a priority queue can be implemented with a heap or with a variety of other methods such as an unordered array. Operations A priority queue must at least support the following operations: * ''is_empty'': check whether the queue has no elements. * ''insert_ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spatial Database
A spatial database is a general-purpose database (usually a relational database) that has been enhanced to include spatial data that represents objects defined in a geometric space, along with tools for querying and analyzing such data. Most spatial databases allow the representation of simple geometric objects such as points, lines and polygons. Some spatial databases handle more complex structures such as 3D objects, topological coverages, linear networks, and triangulated irregular networks (TINs). While typical databases have developed to manage various numeric and character types of data, such databases require additional functionality to process spatial data types efficiently, and developers have often added ''geometry'' or ''feature'' data types. The Open Geospatial Consortium (OGC) developed the Simple Features specification (first released in 1997) and sets standards for adding spatial functionality to database systems. The '' SQL/MM Spatial'' ISO/IEC standard is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polygon Triangulation
In computational geometry, polygon triangulation is the partition of a polygonal area ( simple polygon) into a set of triangles, i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is . Triangulations may be viewed as special cases of planar straight-line graphs. When there are no holes or added points, triangulations form maximal outerplanar graphs. Polygon triangulation without extra vertices Over time, a number of algorithms have been proposed to triangulate a polygon. Special cases It is trivial to triangulate any convex polygon in linear time into a fan triangulation, by adding diagonals from one vertex to all other non-nearest neighbor vertices. The total number of ways to triangulate a convex ''n''-gon by non-intersecting diagonals is the (''n''−2)nd Catalan number, which equals :\frac, a formula found by Leonhard Euler. A monotone polygon can be triangulated in linear time with either the algorithm of A. Fournier ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Point Set Triangulation
A triangulation of a set of points \mathcal in the Euclidean space \mathbb^d is a simplicial complex that covers the convex hull of \mathcal, and whose vertices belong to \mathcal. In the plane (when \mathcal is a set of points in \mathbb^2), triangulations are made up of triangles, together with their edges and vertices. Some authors require that all the points of \mathcal are vertices of its triangulations. In this case, a triangulation of a set of points \mathcal in the plane can alternatively be defined as a maximal set of non-crossing edges between points of \mathcal. In the plane, triangulations are special cases of planar straight-line graphs. A particularly interesting kind of triangulations are the Delaunay triangulations. They are the geometric duals of Voronoi diagrams. The Delaunay triangulation of a set of points \mathcal in the plane contains the Gabriel graph, the nearest neighbor graph and the minimal spanning tree of \mathcal. Triangulations have a number of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greedy Algorithm
A greedy algorithm is any algorithm that follows the problem-solving heuristic of making the locally optimal choice at each stage. In many problems, a greedy strategy does not produce an optimal solution, but a greedy heuristic can yield locally optimal solutions that approximate a globally optimal solution in a reasonable amount of time. For example, a greedy strategy for the travelling salesman problem (which is of high computational complexity) is the following heuristic: "At each step of the journey, visit the nearest unvisited city." This heuristic does not intend to find the best solution, but it terminates in a reasonable number of steps; finding an optimal solution to such a complex problem typically requires unreasonably many steps. In mathematical optimization, greedy algorithms optimally solve combinatorial problems having the properties of matroids and give constant-factor approximations to optimization problems with the submodular structure. Specifics Greedy algo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jesús A
Jesus ( AD 30 or 33) was a Jewish preacher and religious leader who most Christians believe to be the incarnation of God and Muslims believe was a prophet. Jesus may also refer to: People Religious figures * Elymas Bar-Jesus, a Jew in the ''Acts of the Apostles'', chapter 13, who opposed the missionary Paul on Cyprus * Jesus Barabbas (Matthew 27:16–17 margin), pardoned criminal * Jesus Justus (Colossians 4:11), Christian in Rome mentioned by Paul Other people with the name * Jesus (name), as given name and surname, derived from the Latin name ''Iesus'' and the Greek ('). * Jesus ben Ananias (died ), Jewish nationalist mentioned by Josephus * Jesus Ben Sira (), religious writer, author of the Book of Sirach * Jesus Christ Allin or GG Allin (1956–1993), American punk rock musician * Jesús González Díaz (born 1994), simply known as Jesús, Spanish footballer * Jesús Malverde, legendary Mexican bandit-saint * Jesús Rodríguez (other) * Gabriel Jesus (born ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Francisco Santos Leal
Francisco (Paco) Santos Leal (born May 28, 1968) is a Spanish mathematician at the University of Cantabria, known for finding a counterexample to the Hirsch conjecture in polyhedral combinatorics. In 2015 he won the Fulkerson Prize for this research.2015 Fulkerson Prize citation retrieved 2015-07-18. 
Santos was born in , Spain.Curriculum vitae... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Springer-Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology ". Springer Science+Business Media. In 1964, Springer expanded its business internationall ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mark De Berg
Mark de Berg is a Dutch computational geometer, known as one of the authors of the textbook ''Computational Geometry: Algorithms and Applications'' (with Otfried Cheong, Marc van Kreveld, and Mark Overmars, Springer, 1997; 3rd ed., 2008). De Berg completed his Ph.D. in 1992 at Utrecht University. His dissertation, ''Efficient Algorithms for Ray Shooting and Hidden Surface Removal'', was supervised by Mark Overmars. He is a professor of computer science at the Eindhoven University of Technology. With David Mount, de Berg was co-chair of the 2003 Symposium on Computational Geometry The International Symposium on Computational Geometry (SoCG) is an academic conference in computational geometry. It was founded in 1985, and was originally sponsored by the SIGACT and SIGGRAPH Special Interest Groups of the Association for Compu .... References External linksHome page* {{DEFAULTSORT:Berg, Mark De Year of birth missing (living people) Living people Dutch computer scientists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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