Overview
Simplex Noise improves on Perlin-style noise in higher dimensions by using triangles, tetrahedra, and related simplexes.
CoreSource checked
Simplex Noise
Generates coherent noise using simplex-shaped grid cells.
Quick Facts
Compact metadata for implementation and discovery.
- Category
- Procedural Generation
- Difficulty
- Advanced
- Family
- Coherent Noise
- Tier
- Core
- Status
- Verified
- Review
- Source Checked
- Sources
- 2
- Formulas
- 0
- Relationships
- 3
- Code example
- Not ready
- Visualization
- Ready
Core Concepts
simplex gridgradient contributionsmooth interpolationmulti-dimensional noisegenerated structuresmooth noise fieldrendered imagecoherent noise
Quick facts
Complexity
Runtime and memory behavior at a glance.
Best
O(1)
Average
O(1)
Worst
O(1)
Space
O(g)
When to Use
- Use Simplex Noise when you need to create smooth noise in multiple dimensions.
- Use it for procedural textures with inputs like coordinate.
- Use it when repeatable content can be produced from compact rules, parameters, and seeds.
- Use it when the Coherent Noise tradeoff is acceptable for the problem size.
When Not to Use
- Avoid it when authored control matters more than variation or replayability.
- Avoid it when the required output is not noise value.
What It Does
- Creates smooth noise in multiple dimensions
- Uses fewer contributing corners than grid noise
Use Cases
- Procedural textures
- Terrain and clouds
- Animated noise fields
Inputs
- Coordinate
- Permutation or gradient table
- Scale
Outputs
- Noise value
Pseudocode
- 1.Skew the coordinate into simplex space
- 2.Find the simplex cell containing it
- 3.Choose contributing simplex corners
- 4.Compute weighted corner contributions
- 5.Sum contributions into a noise value
Canonical Example
- Input
- seed = 42, size = 8x8
- Output
- generated map, pattern, or noise field
- Explanation
- Simplex Noise: The algorithm expands a small set of rules and random choices into structured content.
Implementation Notes
- Keep the input contract explicit: Coordinate; Permutation or gradient table; Scale.
- Use this step as the implementation spine: Skew the coordinate into simplex space.
- Then preserve the next state change: Find the simplex cell containing it.
- Expose seed and parameters so results can be reproduced and tuned.
Common Pitfalls
- Simplex Noise is often preferred for higher-dimensional noise fields.
- Letting random choices create disconnected, invalid, or impossible-to-use output.
- Returning noise value without handling empty, invalid, or boundary inputs.
Interactive Mechanism Walkthrough
Spatial Primitive & Sweep-Line CanvasShow smooth noise created from triangular or simplex cells.
Step 1 of 5: Skew the coordinate into simplex space
simplex-noise-fieldNotes
Simplex Noise operates in O(1) time and O(g) space within the Coherent Noise family. Often compared with Perlin Noise and Wave Function Collapse.
Sources (2)
What each reference supports for this entry.
Texturing and Modeling: A Procedural Approach
BookProcedural-generation reference for Simplex Noise's noise, texture synthesis, and terrain/shape generation use cases.
Simplex Noise Demystified
ArticleSpecific technical reference for simplex-lattice noise construction and its differences from classic Perlin noise.
Open sourceExplore Next
Good next jumps from the relationship graph, ranked for useful discovery.
Relationships
View full relationship pageVariant ofGradient Noise
Simplex Noise belongs to the gradient-noise family.
Alternative toPerlin Noise
Simplex Noise is a coherent noise alternative with different grid artifacts.
Related Algorithms
Tags
Procedural GenerationNoiseGraphics