If you draw a line from Point A to Point B, that's called Forward Drawing / Mapping. Basically you will loop over every sample that you know (thanks to a mathematical study) go near your line.
The reverse would be to look at every sample you have and decides its colors based on the line information (the two points) with basic geometric calculus (distance of a point to a line). Applying anti-aliasing / thicks borders is more easy in this way also.
The reverse is called Backward Drawing / Mapping, and is fit for GPU programming and others uses. Some problems are only defined for one kind of drawing and it's difficult to transform it to the other kind. It's like finding the inverse function of a mathematical function, hard.
Sounds interesting… can you provide any reference? A technical/scientific paper, a book, a Wikipedia entry… I was unable to Google it using both "Backward Drawing" and "Backward Mapping" as keywords.
The term is mainly used for image interpolation and GPU textures. I prefer to say "drawing" because the notion can be extended to anything you want to visualise.
On the internet you can find a lot of visualization by forward drawing on a canvas. But recently there's more and more backward drawing with GPU and shaders (goto https://www.shadertoy.com/ for a lot of examples)
Yes that's what I meant thx
The same question goes Escher Infinite Circle. I know it has something to do with Poincaré Disk Model but can't figure it out
It might make sense to link to the repository with Jupiter notebook, https://github.com/mapio/programming-with-escher in the rendered output for the convenience of the reader. If the repository points to the rendered output, well Escher.
Actually it is, at the end of the first section https://mapio.github.io/programming-with-escher/#Programming... the sentence reads: "The source notebook is available on GitHub (under GPL v3), feel free to use issues to point out errors, or to fork it to suggest edits.
Square Limit and tiles."
I was instantly thrown back to my time watching this series and doing the exercises, which I highly recommend to anyone.