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Unbiased rendering in computer graphics refers to techniques that avoid systematic errors, or biases, in the radiance approximation of an image. This term specifically relates to statistical bias, not subjective bias. Unbiased rendering aims to replicate real-world lighting and shading as accurately as possible without shortcuts. Path tracing and its derivatives are examples of unbiased techniques, whereas traditional ray tracing methods are typically biased.[1]
![](http://178.128.105.246/cars-http-upload.wikimedia.org/wikipedia/commons/thumb/a/ab/GermanCountryRoad_by_David_Gudelius.jpg/250px-GermanCountryRoad_by_David_Gudelius.jpg)
Mathematical definition
editIn mathematical terms, an unbiased estimator's expected value (E) is the population mean, regardless of the number of observations. The errors in an image produced by unbiased rendering are due to random statistical variance, which appears as high-frequency noise. Variance in this context decreases by n (standard deviation decreases by n) for n data points.[2] Consequently, four times as much data is required to halve the standard deviation of the error, making unbiased rendering less suitable for real-time or interactive applications. An image that appears noiseless and smooth from an unbiased renderer is probabilistically correct.
Biased vs. unbiased rendering
editA biased rendering method can still produce images close to the desired result but introduces a certain amount of error (often seen as a blur) to reduce variance (noise). These methods are typically optimized for faster computation at the expense of some accuracy.[3]
Caustics example
editAn unbiased technique, like path tracing, cannot consider all possible light paths due to their infinite number. It may not select ideal paths for a given render, as this would introduce bias. For example, path tracing struggles with caustics from a point light source because it is unlikely to randomly generate the exact path needed for accurate reflection.[4]
On the other hand, progressive photon mapping (PPM), a biased technique, handles caustics effectively. Although biased, PPM is consistent, meaning that as the number of samples increases to infinity, the bias error approaches zero, and the probability that the estimate is correct reaches one.
List of unbiased rendering methods
edit- Path tracing
- Bidirectional path tracing
- Metropolis light transport and the related "energy redistribution path tracing" (ESPT)[1]
List of unbiased renderers
edit- Arion
- Arnold[2]
- Cycles
- Kerkythea
- LuxRender
- Mantra
- Maxwell Render
- Octane Render
- Fstorm Render (external link)
See also
edit- Global illumination (GI)
- Physically based rendering (PBR)
- Non-photorealistic rendering (NPR)
References
edit- ^ a b David Cline; Justin Talbot; Parris Egbert. "Energy Redistribution Path Tracing". CiteSeerX 10.1.1.63.5938.
- ^ a b James Arvo; Marcos Fajardo; Pat Hanrahan; Henrik Wann Jensen; Don Mitchell; Matt Pharr; Peter Shirley (2001). "State of the Art in Monte Carlo Ray Tracing for Realistic Image Synthesis". CiteSeerX 10.1.1.9.6918.
- ^ "Bias In Rendering" (PDF).
- ^ Opulent, Ken. "Mastering Path Tracing and 3D Rendering".
Bibliography
edit- "fryrender F.A.Q." RandomControl, SLU. Archived from the original on 2016-03-03. Retrieved 2010-05-20.
- Mike Farnsworth. "Biased vs Unbiased Rendering". RenderSpud. Retrieved 2010-05-20.
- "How to choose rendering software".