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title: A Recursive Algorithm to Render Signed Distance Fields
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# A Recursive Algorithm to Render Signed Distance Fields

**[Pointers Gone Wild](https://daily.dev/sources/pointersgonewild)** · 7 min read · 23 upvotes · 0 comments

## Summary

Signed Distance Fields (SDFs) define 3D objects via mathematical functions and can be combined in powerful ways, but rendering them via raymarching is computationally expensive. A novel recursive divide-and-conquer algorithm is proposed and implemented in Rust that subdivides the view frustum into smaller quads, advancing all rays in a patch simultaneously and recursively splitting only when near a surface. This approach achieves 3–4x fewer rays per pixel and triples frame rate on a simple scene. An extension using linear interpolation for flat patches reduces samples to below one per pixel, reaching 100 FPS on a single M1 CPU core. The technique relates to the known but obscure GPU concept of 'cone marching' using multi-pass shaders. The results suggest CPU-based SDF rendering for real-time 3D games may be within reach with further optimization and multi-core usage.

## Full article

daily.dev links to this article rather than hosting it. Read it at the original source: <https://pointersgonewild.com/2026-03-06-a-recursive-algorithm-to-render-signed-distance-fields/>

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Tags: [#rust](https://daily.dev/tags/rust), [#graphics-programming](https://daily.dev/tags/graphics-programming)

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