Gaussian Filtering for Computational Photography

Li Yin
Li’s Computer Vision Blogs
1 min readOct 7, 2017
  1. Ways to do approximation algorithms

Because the Gauss transform can express a rich and useful family of image processing algorithms, but its use has been hindered by its computational complexity; instead, approximate algorithms plays vital role in the application of GF into real use.

The first data structure is permutohedral lattice, which has O(d²n) time and space complexity; The second one is the Gaussian kd-tree, which has O(dnlogn) space and time complexity. For the dimensions are between 3–12, PL > KDT, when the d>12, then we go for the KDT.

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