#interpolation

Hacker Newsh4ckernews
2025-03-14
2025-03-02

I talked about this at ATD3 on SimplexSpaces, around minute 12?
vimeo.com/1059784825 Many thanks to @ANRT for organising and indulging. #interpolation #math #typedesign (2/2)

Willy Braunerwillybrauner
2025-02-19

With the new folio comes my first article about the linear interpolation and what I learned building the Interpol javascript library.

I hope you enjoy it as much as I enjoyed writing it.
📖 willybrauner.com/journal/inter

Interpol Article screenshots, dark & light theme
2025-02-07

I'm heading towards the Automatic Type Design ANRT conference in Nancy for 1, maybe 2 talks. #1: See Also: using Cosine Similarity in type design. #2: Simplexspaces: an exploration of alternative interpolation designspaces. Thursday Feb 20, 16:45 @ANRT #typedesign #interpolation #mathemathics Symposium programme: automatic-type-design.anrt-nan

Talk 1: See Also: how to use Cosine Similarity math in typedesign. Short, fun and hopefully useful. Not AI, no appropriated IP. Just geometry and some math.Talk 2: Simplexspaces: alternative interpolation spaces for type design. Also short, fun and hopefully useful! Image credit: a still from Ted Lasso, series 3, episode 6, Warner Bros. Television. In which Ted Lasso finds himself surround by triangles and he is about to see how flexible and useful they can be. Of course, he is looking at basketball, and he is thinking about socces, but surprisingly it is also useful in type design. You've read this far and I'm sure you understand.
2025-02-01
Plan for #ColumnShaft of #IonicColumn

The #shaft of an #Ionic column is not perfectly cylindrical but gradually tapers off in the top 2/3 of the shaft. As such, the #primaryProfileCurve is not a straight line, nor is it composed of regular arcs. Instead, it is a complex amalgam of straight lines, circular arcs, and #NURBS curves, where the fancy acronym stands for an even fancier name — "Non-Uniform Rational B-Splines."

So, the promise [https://pixelfed.social/p/Splines/789956327130679640] was that we were going to get through this by drawing just straight lines and arcs. How are we going to draw NURBS? The answer is that we won't. The #CAD program will, as long as we give it sufficient information to carry out the task.

There are three NURBS curves in the profile shown in the plan. The longest and the most important one is between the points marked C through J. There is a smaller one between B and C, and an even smaller one between J and K.

While all three NURBS curves are mathematically similar, the information we must provide to the CAD program for the longest one is different from the other two short ones, and the operations the CAD program carries out to construct the longest one and the other two curves is also different.

This brings us to two new operations — #interpolate or "fit through points," and #blend shapes (existing curves or surfaces). When you choose a CAD program, make sure it supports NURBS, #interpolation, and #blending.

Starting at the bottom of the shaft, point A is 144 units from the #columnAxis, and so is point B, which is also 768 units higher than A. Starting with C through J, the points gradually move closer to the axis until J is exactly µ * 5/6, or 120 units from the axis. These points are equidistant vertically — all 192 units apart. However the horizontal distance is non-uniform.

In the next post we will mark the 8 points C through J using using one arc and 8 straight lines — I will keep my promise.
2025-02-01

A variable font with weight and serif axes :)
(Isn’t it remarkable that when you just slap some serifs on a narrow monolinear font, it instantly gives off Officina vibes?)
#VariableFont #Interpolation #Fonts #TypeDesign

2024-12-14

'Memorization With Neural Nets: Going Beyond the Worst Case', by Sjoerd Dirksen, Patrick Finke, Martin Genzel.

jmlr.org/papers/v25/23-1376.ht

#memorization #interpolation #interpolating

2024-12-11

Another non-orthogonal designspace. Please observe three drawings for the big size and only two for the small. A straight line for the same stem just because I can. Smooth and continuous. Images generated from working code. I know you're curious, I can make more. #interpolation #experimental #designspace #math #somethingnew

2024-12-10

Look 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.) #interpolation #experimental #designspace #math #somethingnew

Stewart Russellscruss@xoxo.zone
2024-11-03

When you find some handy code hidden away on an archived website:
Interpolated Lookup Tables in Python — web.archive.org/web/2015110507

(I've got an application that can't use numpy or scipy, and ideally, doesn't touch the maths library at all)

#python #microPython #interpolation

Karsten Schmidttoxi@mastodon.thi.ng
2024-09-25

A couple of 2017 tests/prototypes using Shepard/IDW interpolation[1] to compute "soft" voronoi cells. Reposting this after @Danpiker 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] en.wikipedia.org/wiki/Inverse_

#ThingUmbrella #Interpolation #Image #Color #Voronoi #Geometry

2024-07-13

Live #RIFE video framerate #interpolation has been available for a while but to my knowledge there is still no out of the box player on linux that uses it.

The "simplest" way I found so far (on arch):
- Compile mpv with vapoursynth support (will enable automatically if vapoursynth is installed).
- Install this implementation: aur.archlinux.org/packages/vap
- Save this vapoursynth script gist.github.com/ChristophHaag/
- run mpv -vf=vapoursynth=~/VapourSynth-RIFE-ncnn-Vulkan_script.py video_file

💧🌏 Greg CocksGregCocks@techhub.social
2024-07-10
screen shot - code and resultsscreen shot - lazy load codemaps - examples - ERA5 data - precip over time, global
Inautiloinautilo
2024-06-21


Inline conditionals in CSS, now? · Current workarounds for the missing if() in CSS ilo.im/15z9vw

_____

Inautiloinautilo
2024-05-28


Interpolating colors · New ways to traverse through different color spaces ilo.im/15z0ff

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2024-05-06

I wrote a command line tool to stretch #SRT subtitles between two time codes measured in a movie file, e.g. the first and last line of dialogue in the movie.

So when you have a SRT file that is at a slightly different „speed“ or your movie has some extra titles at the beginning, the tool can adapt your SRT file to that.

My knowledge of #font #interpolation and #variablefonts axis mapping made this really simple ;)

💧🌏 Greg CocksGregCocks@techhub.social
2024-03-07

Tobler's First Law Of Geography
--
en.wikipedia.org/wiki/Tobler%2 <-- link to wiki page
--
“The First Law of Geography, according to Waldo Tobler, is: "… everything is related to everything else, but near things are more related than distant things."..."
#GIS #spatial #mapping #geography #spatialanalysis #tobler #firstlawofgeography #distance #weighting #model #modeling #IDW #kriging #interpolation #extrapolation #spatialdependence #autocorrleation #algorithm #gischat #relationships #frictionofdistance #cost #economics #distancedecayeffect #fundamentalprinciples #causality

photo - butterfly - amazon rainforestgraphic - three forms of spatial interpolationgraphic and photo - Tobler and the text of his first law of geographygraphics - IDW and veroni diagram representations
2024-03-02

'Numerically Stable Sparse Gaussian Processes via Minimum Separation using Cover Trees', by Alexander Terenin et al.

jmlr.org/papers/v25/22-1170.ht

#interpolation #sparse #gaussian

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