The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
The rendering equation
Abstract
We present an integral equation which generalizes a variety of known rendering algorithms. In the course of discussing a monte carlo solution we also present a new form of variance reduction, called Hierarchical sampling and give a number of elaborations shows that it may be an efficient new technique for a wide variety of monte carlo procedures. The resulting rendering algorithm extends the range of optical phenomena which can be effectively simulated.
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Citations
Cites
An improved illumination model for shaded display
Whitted, T. (1980) · Communications of the ACM · doi:10.1145/358876.358882 · Cited by 1,768
Stochastic sampling in computer graphics
Cook, R. L. (1986) · ACM Transactions on Graphics · doi:10.1145/7529.8927 · Cited by 982
Kajiya, J. T., & Von Herzen, B. P. (1984) · ACM SIGGRAPH Computer Graphics · doi:10.1145/964965.808594 · Cited by 706
Self-citationSummed-area tables for texture mapping
Crow, F. C. (1984) · ACM SIGGRAPH Computer Graphics · doi:10.1145/964965.808600 · Cited by 661
Data Structures for Range Searching
Bentley, J. L., & Friedman, J. H. (1979) · ACM Computing Surveys · doi:10.1145/356789.356797 · Cited by 622
The hemi-cube: a radiosity solution for complex environments
Cohen, M. F., & Greenberg, D. P. (1985) · ACM SIGGRAPH Computer Graphics · doi:10.1145/325165.325171 · Cited by 567
Modeling the interaction of light between diffuse surfaces
Goral, C. M., Torrance, K. E., Greenberg, D. P., & Battaile, B. (1984) · ACM SIGGRAPH Computer Graphics · doi:10.1145/964965.808601 · Cited by 478
A Retrospective and Prospective Survey of the Monte Carlo Method
Halton, J. H. (1970) · SIAM Review · doi:10.1137/1012001 · Cited by 348
Weighted Monte Carlo Integration
Yakowitz, S., Krimmel, J. E., & Szidarovszky, F. (1978) · SIAM Journal on Numerical Analysis · doi:10.1137/0715088 · Cited by 44
Cited by
A ray tracing solution for diffuse interreflection
Ward, G. J., Rubinstein, F. M., & Clear, R. D. (2007) · ACM SIGGRAPH 2007 courses · doi:10.1145/1281500.1281626 · Cited by 373
Tewari, A., Thies, J., Mildenhall, B., Srinivasan, P., Tretschk, E., Yifan, W., Lassner, C., Sitzmann, V., Martin‐Brualla, R., Lombardi, S., et al. (2022) · Computer Graphics Forum · doi:10.1111/cgf.14507 · Cited by 339
Can people detect errors in shadows and reflections?
Nightingale, S. J., Wade, K. A., Farid, H., & Watson, D. G. (2019) · Attention, Perception, & Psychophysics · doi:10.3758/s13414-019-01773-w · Cited by 14
Metadata
- Authors
- Kajiya, J. T.
- Venue
- Proceedings of the 13th annual conference on Computer graphics and interactive techniques
- Publisher
- ACM
- Published
- 1986-08-31
- Pages
- 143-150
- OpenAlex
- W4245933748
- Cited by
- 848
- References
- 9
- FWCI
- 1.46
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The rendering equation. https://app.cochat.ai/papers/10.1145/15922.15902
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- Kajiya, J. T. (1986). The rendering equation. Proceedings of the 13th annual conference on Computer graphics and interactive techniques. https://doi.org/10.1145/15922.15902
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
