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File:Infimal convolution of a cone with a cubic curve.svg

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Summary

Description
English: Plotted in Julia 1.7.2 by

```julia using Plots using LaTeXStrings using Colors

xlims = (-1, 1) function f(x)

   return x^2 - x^3

end

function cone(x0, y0, x)

   return y0 + abs(x-x0)

end

randxs = collect(range(xlims[1], xlims[2], length=30)) randys = f.(randxs)

xs = range(xlims[1], xlims[2], length=1000) ys = f.(xs)

u = (x -> 7.5).(xs)

Plots.plot() Plots.plot!(xs, ys) Plots.scatter!(randxs, randys)

for i = 1:length(randxs)

   x = randxs[i]
   y = randys[i]
   Plots.plot!(xs, (t -> cone(x, y, t)).(xs), color=Colors.RGBA(0,0,0,0.1))
   Plots.plot!(xs, (t -> cone(x, y, t)).(xs), fillrange = u, fillalpha = 0.01, c = 3)

end

scene = Plots.plot!(ylim = (-0.1, 2), legend=false) savefig(scene, "infimal convolution plot.svg")

```
Date
Source Own work
Author Cosmia Nebula

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Infimal convolution of a cone with a cubic curve.

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14 July 2022

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Date/TimeThumbnailDimensionsUserComment
current03:53, 15 July 2022Thumbnail for version as of 03:53, 15 July 2022600 × 400 (1.96 MB)Cosmia NebulaUploaded own work with UploadWizard

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