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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.
The use of octrees for 3D computer graphics was pioneered by Donald Meagher at Rensselaer Polytechnic Institute, described in a 1980 report "Octree Encoding: A New Technique for the Representation, Manipulation and Display of Arbitrary 3-D Objects by Computer", [1] for which he holds a 1995 patent (with a 1984 priority date) "High-speed image generation of complex solid objects using octree ...
The hidden-line algorithm does O(n 2 log n) work, which is the upper bound for the best sequential algorithms used in practice. Cook, Dwork and Reischuk gave an Ω(log n ) lower bound for finding the maximum of n integers allowing infinitely many processors of any PRAM without simultaneous writes. [ 19 ]
Algorithms used in Computer graphics. See also Category:Computer graphics data structures . Wikimedia Commons has media related to Computer graphic algorithms .
A simpler randomized algorithm with linear expected time is also known. [13] Seidel's decomposition algorithm [10] and Chazelle's triangulation method are discussed in detail in Li & Klette (2011). [14] The time complexity of triangulation of an n-vertex polygon with holes has an Ω(n log n) lower bound, in algebraic computation tree models of ...
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 scientific visualization and computer graphics, volume rendering is a set of techniques used to display a 2D projection of a 3D discretely sampled data set, typically a 3D scalar field. A typical 3D data set is a group of 2D slice images acquired by a CT , MRI , or MicroCT scanner .
Two such algorithms build a balanced k-d tree to sort triangles in order to improve the execution time of ray tracing for three-dimensional computer graphics. These algorithms presort n triangles prior to building the k -d tree , then build the tree in O ( n log n ) {\displaystyle O(n\log n)} time in the best case.