Inigo Quilez
Intro When doing procedural graphics it's always a good idea to add color variation to the elements of the image. From grass blades, to grass clumps, to rocks or trees or hills, all scales of detail benefit from some color variation. In order to achieve this, one can employ different methods of course, but among the cheapest and the most coder-friendly ones there are those based on simple (hard)co
Inigo Quilez
Intro Here I will write some interesting facts about Value Noise (similar but not the same as Gradient Noise, of which Perlin Noise is one posible implementation). Yes, incredibly enough, you will find here some information that you cannot find anywhere else, not that much poeple speaks about the derivatives of the Value Noise, like how to calculate them analytically and what to do with them. So,
Inigo Quilez
Intro Arround 2002 I made my first attempts to visualize fractal mountains and test procedural texturing. At that time I was not able to raytrace polygons and my rasterization engine was really bad. So I chose to do a "raymarcher" to create some pictures cause it's a really simple technique. What I implemented was a quite brute force thing and was very slow. But it was very simple to code, somethi
Inigo Quilez
Intro Here you will find the distance functions for basic primitives, plus the formulas for combining them together for building more complex shapes, as well as some distortion functions that you can use to shape your objects. Hopefully this will be useful for those rendering scenes with raymarching. You can see some of the results you can get by using these techniques in the raymarching distance
Inigo Quilez
Please visit my the landing page to find video tutorials on computer graphics and other resources; this page contains only the written tutorials. I write them in my spare time, but I hope you enjoy them despite the errors or imprecisions they might contain. If you do and feel like it, you can support this work through Patreon or PayPal. Lastly, all code snippets you'll find are under the MIT licen
Inigo Quilez :: fractals, computer graphics, mathematics, demoscene and more
My name is Inigo Quilez, I grew up in San Sebastián / Donostia, a beautiful city in the Basque Country, northern Spain. I work in Computer Graphics professionally in different roles - I've been a Technical Artists, a Product Manager, a Software Engineer and a Research Engineer, see resume. When life and work permit, I enjoy publishing and sharing everything I discover or invent in this very web si
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Inigo Quilez
Rendering Worlds with Two Triangles with raytracing on the GPU in 4096 bytes
https://iquilezles.org/articles/function2009/function2009.pdf