In this project, a scene is rendered using the signed distance functions of some simple shapes. A blending calculation can then be used to blend these shapes together with a blend strength parameter. Shapes can also occupy negative space to make cutaways from other objects.

The Ray-marching in this project uses a technique called sphere-tracing to optimise efficiency and accuracy. A simple Blinn-Phong lighting model is used.

Simple 2D and 3D visualisations of the sphere tracing method are shown below. At the edge of each sphere, another sphere is drawn at the largest size that it can without overlapping other objects in a scene. This is repeated until the sphere reaches a small enough size, at which point a collision is detected. At the other end of the spectrum, if the sphere's size reaches over a given maximum limit, then no collision is detected.

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