This tutorial explains how to create complex 3D shapes inside volumetric shaders. **Signed Distance Functions** (often referred as **Fields**) are mathematical tools used to describe geometrical shapes such as sphere, boxes and tori. Compared to traditional 3D models made out of triangles, signed distance functions provide virtually **infinite resolution**, and are amenable to geometric manipulation. The following animation, from formulanimation tutorial :: making a snail, shows how a snail can be created using simpler shapes:

- Introduction
- Part 1. SDF Sphere
- Part 2. Union and Intersection
- Part 3. SDF Box
- Part 4. Shape Blending
- Part 5. Smooth Union
- Part 6. SDF Algebra
- Conclusion

You can find here all the other posts in this series:

- Part 1: Volumetric Rendering
- Part 2: Raymarching
- Part 3: Surface Shading
**Part 4: Signed Distance Fields**- Part 5: Ambient Occlusion
- Part 6: Hard and Soft Shadows
- Part 7: Volume Raycasting