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The octree color quantization algorithm, invented by Gervautz and Purgathofer in 1988, encodes image color data as an octree up to nine levels deep. Octrees are used because = and there are three color components in the RGB system. The node index to branch out from at the top level is determined by a formula that uses the most significant bits ...
Set n equal to the first element of Q. 5. Remove first element from Q. 6. If n is Inside: Set the n Add the node to the west of n to the end of Q. Add the node to the east of n to the end of Q. Add the node to the north of n to the end of Q. Add the node to the south of n to the end of Q. 7. Continue looping until Q is exhausted. 8. Return.
Monotone chain, a.k.a. Andrew's algorithm — O(n log n) Published in 1979 by A. M. Andrew. The algorithm can be seen as a variant of Graham scan which sorts the points lexicographically by their coordinates. When the input is already sorted, the algorithm takes O(n) time. Incremental convex hull algorithm — O(n log n) Published in 1984 by ...
David Kennison's Polypack, a FORTRAN library based on the Vatti algorithm. Klamer Schutte's Clippoly, a polygon clipper written in C++. Michael Leonov's poly_Boolean, a C++ library, which extends the Schutte algorithm. Angus Johnson's Clipper, an open-source freeware library (written in Delphi, C++ and C#) that's based on the Vatti algorithm.
In this algorithm, one recursively draws a line to split the vertices into two sets. The Delaunay triangulation is computed for each set, and then the two sets are merged along the splitting line. Using some clever tricks, the merge operation can be done in time O(n), so the total running time is O(n log n). [17]
In 2011 Devai published [18] an O(log n)-time hidden-surface, and a simpler, also O(log n)-time, hidden-line algorithm. The hidden-surface algorithm, using n 2 /log n CREW PRAM processors, is work-optimal. The hidden-line algorithm uses n 2 exclusive read, exclusive write (EREW) PRAM processors. The EREW model is the PRAM variant closest to ...
In the worst case, i = 1 or i = n − 2 at each recursive invocation yields a running time of O(n 2). In the best case, i = n / 2 or i = n ± 1 / 2 at each recursive invocation yields a running time of O(n log n). Using (fully or semi-) dynamic convex hull data structures, the simplification performed by the algorithm can be ...
Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry.Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry.