Simulation noise
Simulation noise is a function that creates a divergence-free vector field. This signal can be used in artistic simulations for the purposes of increasing the perception of extra detail.
The function can be calculated in three dimensions by dividing the space into a regular lattice grid. With each edge is associated a random value, indicating a rotational component of material revolving around the edge. By following rotating material into and out of faces, one can quickly sum the flux passing through each face of the lattice. Flux values at lattice faces are then interpolated to create a field value for all positions.
Perlin noise is the earliest form of lattice noise, which has become very popular in computer graphics. Perlin Noise is not suited for simulation because it is not divergence-free.
Noises based on lattices, such as simulation noise and Perlin noise, are often calculated at different frequencies and summed together to form band-limited fractal signals.
Other approaches developed later that use vector calculus identities to produce divergence free fields, such as "Curl-Noise" as suggested by Robert Bridson, and "Divergence-Free Noise" due to Ivan DeWolf. These often require calculation of lattice noise gradients, which sometimes are not readily available. A naive implementation would call a lattice noise function several times to calculate its gradient, resulting in more computation than is strictly necessary. Unlike these noises, simulation noise has a geometric rationale in addition to its mathematical properties. It simulates vortices scattered in space, to produce its pleasing aesthetic.
References
Further reading
- Patel, M & Taylor, N. December 2005. Simple Divergence-Free Fields for Artistic Simulation. Journal of Graphics Tools, Volume 10, Number 4.
- v
- t
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- Acoustic quieting
- Distortion
- Noise cancellation
- Noise control
- Noise measurement
- Noise power
- Noise reduction
- Noise temperature
- Phase distortion
- Audio
- Buildings
- Electronics
- Environment
- Government regulation
- Human health
- Images
- Radio
- Rooms
- Ships
- Sound masking
- Transportation
- Video
- Additive white Gaussian noise (AWGN)
- Atmospheric noise
- Background noise
- Brownian noise
- Burst noise
- Cosmic noise
- Flicker noise
- Gaussian noise
- Grey noise
- Infrasound
- Jitter
- Johnson–Nyquist noise (thermal noise)
- Pink noise
- Quantization error (or q. noise)
- Shot noise
- White noise
- Coherent noise
terms
- Channel noise level
- Circuit noise level
- Effective input noise temperature
- Equivalent noise resistance
- Equivalent pulse code modulation noise
- Impulse noise (audio)
- Noise figure
- Noise floor
- Noise shaping
- Noise spectral density
- Noise, vibration, and harshness (NVH)
- Phase noise
- Pseudorandom noise
- Statistical noise
- Carrier-to-noise ratio (C/N)
- Carrier-to-receiver noise density (C/kT)
- dBrnC
- Eb/N0 (energy per bit to noise density)
- Es/N0 (energy per symbol to noise density)
- Modulation error ratio (MER)
- Signal, noise and distortion (SINAD)
- Signal-to-interference ratio (S/I)
- Signal-to-noise ratio (S/N, SNR)
- Signal-to-noise ratio (imaging)
- Signal-to-interference-plus-noise ratio (SINR)
- Signal-to-quantization-noise ratio (SQNR)
- Contrast-to-noise ratio (CNR)
- List of noise topics
- Acoustics
- Colors of noise
- Interference (communication)
- Noise generator
- Spectrum analyzer
- Thermal radiation
methods
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