The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Reaction-diffusion textures
Abstract
We present a method for texture synthesisbased on the simulation of a process of local nonlinear interaction, called reaction-diffusion, which has been proposed as a model of biological pattern formation. We extend traditional reaction-diffusion systems by allowing anisotropic and spatially non-uniform diffusion, as well as multiple competing directions of diffusion. We adapt reaction-diffusion systems to the needs of computer graphics by presenting a method to synthesize patterns which compensate for the effects of non-uniform surface parameterization. Finally, we develop efficient algorithms for simulating reactiondiffusion systems and display a collection of resulting textures using standard texture- and displacement-mapping techniques. 1 Introduction Texture mapping techniques have become so highly developed and so widely used that textureless images tend to appear barren, unrealistic, and boring. To date, though, techniques for synthesizing natural textures have advanced far les...
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The chemical basis of morphogenesis
Turing, A. M. (1952) · Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences · doi:10.1098/rstb.1952.0012 · Cited by 11,733
The Fourier Transform and Its Applications
Bracewell, R., & Kahn, P. B. (1966) · American Journal of Physics · doi:10.1119/1.1973431 · Cited by 5,737
Barnsley, M. F. (1988) · Cited by 3,578
A Comprehensive Introduction to Differential Geometry.
Kramer, A. D., & Spivak, M. (1973) · The American Mathematical Monthly · doi:10.2307/2319112 · Cited by 3,445
Mathematical handbook for scientists and engineers
Korn, G. A. (1961) · Cited by 3,428
Multi-Grid Methods and Applications
Hackbusch, W. (1985) · Springer Series in Computational Mathematics · doi:10.1007/978-3-662-02427-0 · Cited by 2,223
Fractals: Form, Chance, and Dimension
Mandelbrot, B. B., & Aizenman, M. (1979) · Physics Today · doi:10.1063/1.2995555 · Cited by 2,174
Perlin, K. (1985) · ACM SIGGRAPH Computer Graphics · doi:10.1145/325165.325247 · Cited by 2,072
Mathematical Handbook for Scientists and Engineers
Wilkins, J. E. (1962) · Nuclear Science and Engineering · doi:10.13182/nse62-a26153 · Cited by 2,026
Mark, J. W. (1975) · Proceedings of the IEEE · doi:10.1109/proc.1975.9993 · Cited by 1,565
Cited by
Imaging vector fields using line integral convolution
Cabral, B., & Leedom, L. C. (1993) · Proceedings of the 20th annual conference on Computer graphics and interactive techniques · doi:10.1145/166117.166151 · Cited by 1,315
Minimax Entropy Principle and Its Application to Texture Modeling
Zhu, S. C., Wu, Y. N., & Mumford, D. (1997) · Neural Computation · doi:10.1162/neco.1997.9.8.1627 · Cited by 420
Metadata
- Authors
- Witkin, A., & Kass, M.
- Venue
- Proceedings of the 18th annual conference on Computer graphics and interactive techniques
- Publisher
- ACM
- Published
- 1991-07
- Pages
- 299-308
- OpenAlex
- W2113834765
- Cited by
- 300
- References
- 19
- FWCI
- 3.13
- Type
- conference paper
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Reaction-diffusion textures. https://app.cochat.ai/papers/10.1145/122718.122750
- The paper
- Witkin, A., & Kass, M. (1991). Reaction-diffusion textures. Proceedings of the 18th annual conference on Computer graphics and interactive techniques. https://doi.org/10.1145/122718.122750
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.