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January 19, 2020 16:50
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Effect of normalization in Laplacian of Gaussian
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| using Plots | |
| using SpecialFunctions | |
| function GoS(x) | |
| -(1 .- erf.(x)) | |
| end | |
| function G(x, sigma) | |
| exp.(-x.^2 ./ (2*sigma^2)) | |
| end | |
| function dG(x, sigma) | |
| -x ./ sigma^2 .* exp.(-x.^2 ./ (2*sigma^2)) | |
| end | |
| function LoG(x, sigma) | |
| (x.^2 / sigma^4 .- 1 / sigma^2) .* exp.(-x.^2 / (2*sigma^2) ) | |
| end | |
| x = -10:0.1:10 | |
| k = sqrt(2) | |
| sigma0 = 0.5 | |
| nsigma=6 | |
| sigmas = zeros(nsigma) | |
| for i=1:nsigma | |
| sigmas[i] = i * k * sigma0 | |
| end | |
| anim = @animate for sigma in sigmas | |
| plot(x, G(x, sigma), label="G(x)") | |
| plot!(x, dG(x, sigma), label="G'") | |
| a = plot!(x, LoG(x, sigma), label="LoG") | |
| plot(x, G(x, sigma), label="G(x)") | |
| plot!(x, sigma*dG(x, sigma), label="sG'") | |
| c = plot!(x, sigma^2*LoG(x, sigma), label="s^2LoG") | |
| plot(a, c) | |
| title!("sigma:($sigma)") | |
| end | |
| gif(anim, "~/Desktop/anim.gif", fps = 0.5) |
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