---
title: "Michael Barnsley"
type: "entity"
entity_kind: "person"
status: "hub"
canonical_name: "Michael Barnsley"
aliases: []
first_seen: "2026-07-09T00:00:00.000Z"
writer_model: "claude-sonnet-5"
connects_to: ["fractal compression","Collage Theorem","iterated function systems","Michael Poli","implicit neural representations"]
seek_code_commit: "649b1a4"
---


British mathematician who developed the theory of iterated function systems (IFS) and, with Stephen Demko, proved the 1985 Collage Theorem that made fractal image compression a practical engineering technique rather than just a curiosity of self-similar geometry. Co-founded Iterated Systems Inc. with Alan Sloan in 1987 to commercialize the approach, which reached products such as Microsoft Encarta before the fractal-video successor was abandoned around 2016.

Matters to this vault as the founding figure of the fractal/IFS compression tradition that a 2022 NeurIPS paper (Poli et al.) explicitly reframed as a differentiable, learnable operator — the one document found that draws a direct citation line from fractal compression to implicit neural representations, the younger field's "encode a signal as a compact function" idea.

## References
- [[claim-fractal-compression-to-implicit-neural-representations-bridge]] · [[claim-poli-et-al-2022-neural-collages-bridges-fractal-and-inr-canons]]
- [[entity-michael-poli]] · [[entity-collage-theorem]]