Intermediate Topic 32 of 49 Graphics, Vision & Media
Noise Functions
Perlin-style randomness for natural patterns.
How it works
Noise functions generate smooth, pseudo-random values with controllable structure, unlike white noise, which is uncorrelated. Value noise interpolates random values at lattice points; Perlin noise interpolates random gradients and is smoother; simplex noise uses a simplex grid for fewer artifacts and better scaling to higher dimensions; Worley noise measures distance to random feature points to create cellular patterns. Summing octaves of noise at increasing frequencies and decreasing amplitudes, fractal Brownian motion, produces natural-looking detail.
Where it is used
Terrain heightmaps, clouds, marble and wood textures, water surfaces, fire, animation jitter and procedural materials use noise.
Common pitfall
Axis-aligned artifacts appear in value noise and classic Perlin noise. Poor hashing creates visible repetition. Sampling at integer lattice coordinates returns zero in gradient noise, causing grid-aligned patterns if misused. Tiling requires periodic variants. High octave counts are costly in shaders. Choose the noise type to fit the look, seed it for repeatability and layer octaves with lacunarity and gain parameters.
Where it fits in the course
Noise Functions is topic 32 of 49 in Graphics, Vision & Media, rated Intermediate. It follows Procedural Generation. The next topic is Image Filtering.
Practice and explore
- Open the interactive lesson, with a mini quiz.
- Take the Graphics, Vision & Media quiz.
How to study this topic
- Read the explanation above and restate the definition in your own words.
- Open the interactive lesson and answer its mini quiz.
- Read the common pitfall, then write a short example that avoids it.
- Check your understanding in the Graphics, Vision & Media quiz, and revisit the topic if you miss a question.
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Related topics
- Procedural Generation (Graphics, Vision & Media)
- Image Filtering (Graphics, Vision & Media)
- Physics Engines (Graphics, Vision & Media)
- Edge Detection (Graphics, Vision & Media)
- Functions and Relations (Theory & Discrete Math)
- Functions and Graphs (Math for Computing)
- Functions (Programming Fundamentals)