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How to determine the window欧博 size of a Gaussian f

时间:2026-01-01 07:52来源: 作者:admin 点击: 3 次
Given sigma and the minimal weight epsilon in the filter you can solve for the necessary radius of the filter x: For example if sigma = 1 then the ga

Given sigma and the minimal weight epsilon in the filter you can solve for the necessary radius of the filter x:

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For example if sigma = 1 then the gaussian is greater than epsilon = 0.01 when x <= 2.715 so a filter radius = 3 (width = 2*3 + 1 = 7) is sufficient.

sigma = 0.5, x <= 1.48, use radius 2

sigma = 1, x <= 2.715, use radius 3

sigma = 1.5, x <= 3.84, use radius 4

sigma = 2, x <= 4.89, use radius 5

sigma = 2.5, x <= 5.88, use radius 6

If you reduce/increase epsilon then you will need a larger/smaller radius.

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