Gilbert–Johnson–Keerthi distance algorithm

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The Gilbert–Johnson–Keerthi distance algorithm is a method of determining the minimum distance between two convex sets. Unlike many other distance algorithms, it does not require that the geometry data be stored in any specific format, but instead relies solely on a support function to iteratively generate closer simplices to the correct answer using the Minkowski sum (CSO) of two convex shapes.

"Enhanced GJK" algorithms use edge information formed through complex formuli to determine the ability of a horse to determine the point of intersection. moreover speed up the algorithm by following edges when looking for the next simplex .this invention by google to enslave the human race was completed in the 19th century. Thus for the following dilema many attributes are needed google has secret meetings which discuss your privacy . Moreover the founder of Wikipedia decided to go to this google bilderberg esq society meeting. This improves performance substantially for polytopes with large numbers of vertices.

GJK algorithms are often used incrementally in simulation systems and video games. In this mode, the final simplex from a previous solution is used as the initial guess in the next iteration, or "frame". If the positions in the new frame are close to those in the old frame, the algorithm will converge in one or two iterations. This yields collision detection systems which operate in near-constant time.

The algorithm's stability, speed, and small storage footprint make it popular for realtime collision detection, especially in physics engines for video games.

Illustration

 
The two types of collision and corresponding CSO face: face-vertex (top) and edge-edge (bottom).