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Computer Science > Computer Vision and Pattern Recognition

arXiv:2512.08309 (cs)
[Submitted on 9 Dec 2025]

Title:Terrain Diffusion: A Diffusion-Based Successor to Perlin Noise
in Infinite, Real-Time Terrain Generation

Authors:Alexander Goslin
View a PDF of the paper titled Terrain Diffusion: A Diffusion-Based
Successor to Perlin Noise in Infinite, Real-Time Terrain Generation,
by Alexander Goslin
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    Abstract:For decades, procedural worlds have been built on
    procedural noise functions such as Perlin noise, which are fast
    and infinite, yet fundamentally limited in realism and
    large-scale coherence. We introduce Terrain Diffusion, an AI-era
    successor to Perlin noise that bridges the fidelity of diffusion
    models with the properties that made procedural noise
    indispensable: seamless infinite extent, seed-consistency, and
    constant-time random access. At its core is InfiniteDiffusion, a
    novel algorithm for infinite generation, enabling seamless,
    real-time synthesis of boundless landscapes. A hierarchical stack
    of diffusion models couples planetary context with local detail,
    while a compact Laplacian encoding stabilizes outputs across
    Earth-scale dynamic ranges. An open-source infinite-tensor
    framework supports constant-memory manipulation of unbounded
    tensors, and few-step consistency distillation enables efficient
    generation. Together, these components establish diffusion models
    as a practical foundation for procedural world generation,
    capable of synthesizing entire planets coherently, controllably,
    and without limits.

Comments: Project website: this https URL Code: this https URL
          Computer Vision and Pattern Recognition (cs.CV); Artificial
Subjects: Intelligence (cs.AI); Graphics (cs.GR); Machine Learning
          (cs.LG)
Cite as:  arXiv:2512.08309 [cs.CV]
          (or arXiv:2512.08309v1 [cs.CV] for this version)
          https://doi.org/10.48550/arXiv.2512.08309
          Focus to learn more
          arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Alexander Goslin [view email]
[v1] Tue, 9 Dec 2025 07:10:35 UTC (12,075 KB)
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    Diffusion-Based Successor to Perlin Noise in Infinite, Real-Time
    Terrain Generation, by Alexander Goslin
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