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ErikLook here. This is a method to make smooth and continuous non-orthogonal designspaces. In this example: 4 masters "on the outside" and 3 floating intermediates. (The shapes are from MutatorSans and only illustrate the extent of influence.) <a href="https://typo.social/tags/interpolation" class="mention hashtag" rel="nofollow noopener" target="_blank">#interpolation</a> <a href="https://typo.social/tags/experimental" class="mention hashtag" rel="nofollow noopener" target="_blank">#experimental</a> <a href="https://typo.social/tags/designspace" class="mention hashtag" rel="nofollow noopener" target="_blank">#designspace</a> <a href="https://typo.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://typo.social/tags/somethingnew" class="mention hashtag" rel="nofollow noopener" target="_blank">#somethingnew</a>

Karsten SchmidtA couple of 2017 tests/prototypes using Shepard/IDW interpolation[1] to compute "soft" voronoi cells. Reposting this after <a href="https://mathstodon.xyz/@Danpiker" class="u-url mention" rel="nofollow noopener" target="_blank">@Danpiker</a> was mentioning this method for 3D modeling in recent days. Coincidentally, these tests were for something v. similar, i.e. outsole traction pattern geometry generation — the exponent used in this method acts an easy-to-grok parameter to control softness/sharpness & level of detail... Unlike these examples, which are only using point samples and colors, the idea was to interpolate between line geometries to create a relief surface. E.g. applied to an outsole, we could configure the interpolation to produce softer shapes in the heel region and more detailed ridges in the front foot, where traction is needed most... In the end I didn't use this specific interpolation method for performance reasons and switched to another approach to compute an SDF for v. similar results (see recent posts from yesterday).(Alt text for more details about these animations)[1] <a href="https://en.wikipedia.org/wiki/Inverse_distance_weighting" rel="nofollow noopener" translate="no" target="_blank">https://en.wikipedia.org/wiki/Inverse_distance_weighting</a><a href="https://mastodon.thi.ng/tags/ThingUmbrella" class="mention hashtag" rel="nofollow noopener" target="_blank">#ThingUmbrella</a> <a href="https://mastodon.thi.ng/tags/Interpolation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Interpolation</a> <a href="https://mastodon.thi.ng/tags/Image" class="mention hashtag" rel="nofollow noopener" target="_blank">#Image</a> <a href="https://mastodon.thi.ng/tags/Color" class="mention hashtag" rel="nofollow noopener" target="_blank">#Color</a> <a href="https://mastodon.thi.ng/tags/Voronoi" class="mention hashtag" rel="nofollow noopener" target="_blank">#Voronoi</a> <a href="https://mastodon.thi.ng/tags/Geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#Geometry</a>

Michel MarianiColor Ramp Formulator is an open-source desktop application used to generate algorithmically-defined color ramps, making use of formulas.Repository: 🔗 <a href="https://codeberg.org/tonton-pixel/color-ramp-formulator" rel="nofollow noopener" translate="no" target="_blank">https://codeberg.org/tonton-pixel/color-ramp-formulator</a><a href="https://mastodon.social/tags/algorithmic" class="mention hashtag" rel="nofollow noopener" target="_blank">#algorithmic</a> <a href="https://mastodon.social/tags/color" class="mention hashtag" rel="nofollow noopener" target="_blank">#color</a> <a href="https://mastodon.social/tags/colorramp" class="mention hashtag" rel="nofollow noopener" target="_blank">#colorramp</a> <a href="https://mastodon.social/tags/colormapping" class="mention hashtag" rel="nofollow noopener" target="_blank">#colormapping</a> <a href="https://mastodon.social/tags/colortable" class="mention hashtag" rel="nofollow noopener" target="_blank">#colortable</a> <a href="https://mastodon.social/tags/colortemperature" class="mention hashtag" rel="nofollow noopener" target="_blank">#colortemperature</a> <a href="https://mastodon.social/tags/cubehelix" class="mention hashtag" rel="nofollow noopener" target="_blank">#cubehelix</a> <a href="https://mastodon.social/tags/curvesmap" class="mention hashtag" rel="nofollow noopener" target="_blank">#curvesmap</a> <a href="https://mastodon.social/tags/desktopapplication" class="mention hashtag" rel="nofollow noopener" target="_blank">#desktopapplication</a> <a href="https://mastodon.social/tags/electron" class="mention hashtag" rel="nofollow noopener" target="_blank">#electron</a> <a href="https://mastodon.social/tags/electronjs" class="mention hashtag" rel="nofollow noopener" target="_blank">#electronjs</a> <a href="https://mastodon.social/tags/formula" class="mention hashtag" rel="nofollow noopener" target="_blank">#formula</a> <a href="https://mastodon.social/tags/gamma" class="mention hashtag" rel="nofollow noopener" target="_blank">#gamma</a> <a href="https://mastodon.social/tags/generator" class="mention hashtag" rel="nofollow noopener" target="_blank">#generator</a> <a href="https://mastodon.social/tags/grayscale" class="mention hashtag" rel="nofollow noopener" target="_blank">#grayscale</a> <a href="https://mastodon.social/tags/hsl" class="mention hashtag" rel="nofollow noopener" target="_blank">#hsl</a> <a href="https://mastodon.social/tags/hsv" class="mention hashtag" rel="nofollow noopener" target="_blank">#hsv</a> <a href="https://mastodon.social/tags/hwb" class="mention hashtag" rel="nofollow noopener" target="_blank">#hwb</a> <a href="https://mastodon.social/tags/interpolation" class="mention hashtag" rel="nofollow noopener" target="_blank">#interpolation</a> <a href="https://mastodon.social/tags/lab" class="mention hashtag" rel="nofollow noopener" target="_blank">#lab</a> <a href="https://mastodon.social/tags/lch" class="mention hashtag" rel="nofollow noopener" target="_blank">#lch</a> <a href="https://mastodon.social/tags/lineargradient" class="mention hashtag" rel="nofollow noopener" target="_blank">#lineargradient</a> <a href="https://mastodon.social/tags/oklab" class="mention hashtag" rel="nofollow noopener" target="_blank">#oklab</a> <a href="https://mastodon.social/tags/oklch" class="mention hashtag" rel="nofollow noopener" target="_blank">#oklch</a> <a href="https://mastodon.social/tags/opensource" class="mention hashtag" rel="nofollow noopener" target="_blank">#opensource</a> <a href="https://mastodon.social/tags/rgb" class="mention hashtag" rel="nofollow noopener" target="_blank">#rgb</a> <a href="https://mastodon.social/tags/testimage" class="mention hashtag" rel="nofollow noopener" target="_blank">#testimage</a> <a href="https://mastodon.social/tags/wavelength" class="mention hashtag" rel="nofollow noopener" target="_blank">#wavelength</a> <a href="https://mastodon.social/tags/xyz" class="mention hashtag" rel="nofollow noopener" target="_blank">#xyz</a> <a href="https://mastodon.social/tags/ycbcr" class="mention hashtag" rel="nofollow noopener" target="_blank">#ycbcr</a>

Karsten SchmidtUpdated the gradient image generator example to use a custom pixel format (using Oklab color space) for the floating point pixel buffer.Using Oklab instead of RGB combined with the bicubic image interpolation used to compute the gradient image means the colors will also be interpolated in the Oklab space which is perceptually better & more correct than RGB and leads to more pleasing results...Demo & source links are updated (see OP)<a href="https://mastodon.thi.ng/tags/ThingUmbrella" class="mention hashtag" rel="nofollow noopener" target="_blank">#ThingUmbrella</a> <a href="https://mastodon.thi.ng/tags/Oklab" class="mention hashtag" rel="nofollow noopener" target="_blank">#Oklab</a> <a href="https://mastodon.thi.ng/tags/Color" class="mention hashtag" rel="nofollow noopener" target="_blank">#Color</a> <a href="https://mastodon.thi.ng/tags/Gradient" class="mention hashtag" rel="nofollow noopener" target="_blank">#Gradient</a> <a href="https://mastodon.thi.ng/tags/Interpolation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Interpolation</a>

Phillip Jordan :black_verified:Who knew this?! Because I : Did Not Know This ‼️🤯 <a href="https://www.instagram.com/reel/CmKRu5orKer/?igshid=MTg0ZDhmNDA=" rel="nofollow noopener" target="_blank">https://www.instagram.com/reel/CmKRu5orKer/?igshid=MTg0ZDhmNDA=</a> <a href="https://social.phillipjordan.com/tags/Music" rel="nofollow noopener" target="_blank">#Music</a> <a href="https://social.phillipjordan.com/tags/Interpolation" rel="nofollow noopener" target="_blank">#Interpolation</a> <a href="https://social.phillipjordan.com/tags/Sampling" rel="nofollow noopener" target="_blank">#Sampling</a> <a href="https://social.phillipjordan.com/tags/HueyLewis" rel="nofollow noopener" target="_blank">#HueyLewis</a> <a href="https://social.phillipjordan.com/tags/RayParkerJr" rel="nofollow noopener" target="_blank">#RayParkerJr</a> <a href="https://social.phillipjordan.com/tags/GhostBusters" rel="nofollow noopener" target="_blank">#GhostBusters</a> <a href="https://social.phillipjordan.com/tags/BlackFedi" rel="nofollow noopener" target="_blank">#BlackFedi</a> <a href="https://social.phillipjordan.com/tags/BlackMastodon" rel="nofollow noopener" target="_blank">#BlackMastodon</a>

Spektrum (inoffiziell)Welche Kurve kann durch willkürlich verstreute Punkte im Raum verlaufen? <a href="https://www.spektrum.de/magazin/junges-paar-loest-altes-problem-der-algebraischen-geometrie/2076222" rel="nofollow noopener" target="_blank">Algebraische Geometrie: Junges Paar löst altes Problem</a> <a href="https://anonsys.net/search?tag=AlgebraischeGeometrie" class="mention hashtag" rel="nofollow noopener" target="_blank">#AlgebraischeGeometrie</a> <a href="https://anonsys.net/search?tag=Geometrie" class="mention hashtag" rel="nofollow noopener" target="_blank">#Geometrie</a> <a href="https://anonsys.net/search?tag=Kurven" class="mention hashtag" rel="nofollow noopener" target="_blank">#Kurven</a> <a href="https://anonsys.net/search?tag=Funktion" class="mention hashtag" rel="nofollow noopener" target="_blank">#Funktion</a> <a href="https://anonsys.net/search?tag=elliptischeKurven" class="mention hashtag" rel="nofollow noopener" target="_blank">#elliptischeKurven</a> <a href="https://anonsys.net/search?tag=Interpolation" class="mention hashtag" rel="nofollow noopener" target="_blank">#Interpolation</a> <a href="https://anonsys.net/search?tag=Interpola%C2%ADtionsproblem" class="mention hashtag" rel="nofollow noopener" target="_blank">#Interpolationsproblem</a> <a href="https://anonsys.net/search?tag=Mathematik" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematik</a>

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