Tagged: distance estimation

Colourful Hybrid KIFS 0

Hybrid KIFS Fractals

In my previous articles I talked about the fundamental principles of Iterative Fractals, and the specific case of the Kaleidoscopic IFS fractal. Today we’ll extend the basic KIFS fractals beyond simple tetrahedral symmetry. Initially...

IFS fractal with colouring + pathtraced 8

Kaleidoscopic IFS fractals

In my last post I talked about how to convert the koch snowflake fractal into an iterative distance estimator. That can provide some interesting results for a simple 2d fractal, but now let’s ramp...

Detailed zoom of inner fold 0

Sphere folds

In the last article I talked about the various ways that you can repeat 3d space within a distance estimator. As well as folding space along flat planes, there’s a second type of fold...

Raytraced image of many tori using distance estimation 3

Folding space

One of the really cool things about distance estimation functions is the ability to instantiate multiple instances of an object. The basic sphere distance evaluator takes the form of a quick distance check from...

many tori 2

Distance Estimation Functions

I started my initial investigation into rendering 3d mandlebrot fractals a few weeks ago and one of the first things I encountered was the theory of distance estimation functions. Needless to say I got...