File:Uf109.jpg
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DescriptionUf109.jpg |
English: the exponential map: random zoom past a few minibrots and making a tree. Below is Ultrafractal transformation formula implementing the "exponential map ( file with .uxf extension)
ExponentialMap { ; ; Vertical exponential transform. ; Make narrow high window (say 100X800), zoom, put point of interest at bottom. ; Turn on. Tweak with the 2 controls, and select appropriate width (depends on image, ; narrower for deeper zooms). ; global: if (4 * #height < 3 * #width) pixeldim = 3/#magn/#height else pixeldim = 4/#magn/#width endif w = #width * pixeldim h = #height * pixeldim cc = #center c0 = cc - 1i/2 * h +0i*w -w/4 * @sh b = w/h*log(#magn) *@b a = 1i*w/b transform: if @ison c = #pixel dc = a*(exp(-1i*b/w*(c-c0))) #pixel = c0+dc endif default: title = "Exponential map" param ison caption = "On" default = false endparam float param b caption = "vert. control" default = 1.2 endparam float param sh caption = "hor. shift" default = 0 endparam } |
Date | |
Source | https://fractalforums.org/ultrafractal/59/exponential-map-transform/1697/msg8580#msg8580 |
Author | gerrit |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 15:59, 25 November 2022 | 300 × 2,400 (526 KB) | Soul windsurfer (talk | contribs) | Uploaded a work by gerrit from https://fractalforums.org/ultrafractal/59/exponential-map-transform/1697/msg8580#msg8580 with UploadWizard |
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Orientation | Normal |
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Horizontal resolution | 300.125 dpi |
Vertical resolution | 300.125 dpi |
Software used | Adobe Photoshop CS6 (Windows) |
File change date and time | 19:54, 4 August 2018 |
Color space | sRGB |
Date and time of digitizing | 12:53, 4 August 2018 |
Date metadata was last modified | 12:54, 4 August 2018 |
Unique ID of original document | xmp.did:5D5B6F0DAE97E811975CE01888A67BBE |