More Web Proxy on the site http://driver.im/

article

A procedural object distribution function

Authors:

Philip DutréAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 24, Issue 4

Pages 1442 - 1461

https://doi.org/10.1145/1095878.1095888

Published: 01 October 2005 Publication History

Abstract

In this article, we present a procedural object distribution function, a new texture basis function that distributes procedurally generated objects over a procedurally generated texture. The objects are distributed uniformly over the texture, and are guaranteed not to overlap. The scale, size, and orientation of the objects can be easily manipulated. The texture basis function is efficient to evaluate, and is suited for real-time applications. The new texturing primitive we present extends the range of textures that can be generated procedurally.The procedural object distribution function we propose is based on Poisson disk tiles and a direct stochastic tiling algorithm for Wang tiles. Poisson disk tiles are square tiles filled with a precomputed set of Poisson disk distributed points, inspired by Wang tiles. A single set of Poisson disk tiles enables the real-time generation of an infinite amount of Poisson disk distributions of arbitrary size. With the direct stochastic tiling algorithm, these Poisson disk distributions can be evaluated locally, at any position in the Euclidean plane.Poisson disk tiles and the direct stochastic tiling algorithm have many other applications in computer graphics. We briefly explore applications in object distribution, primitive distribution for illustration, and environment map sampling.

References

[1]

Agarwal, S., Ramamoorthi, R., Belongie, S., and Jensen, H. W. 2003. Structured importance sampling of environment maps. ACM Trans. Graph. 22, 3, 605--612.

[2]

Berger, R. 1966. The undecidability of the domino problem. Mem. Amer. Math. Soc. 66, 1--72.

[3]

Cohen, J. and Debevec, P. 2001. LightGen, HDRShop plugin. Available online at http://www.ict.usc.edu/~jcohen/lightgen/lightgen.html.

[4]

Cohen, M. F., Shade, J., Hiller, S., and Deussen, O. 2003. Wang tiles for image and texture generation. ACM Trans. Graph. 287--294.

[5]

Cook, R. L. 1986. Stochastic sampling in computer graphics. Comput. Graph. (Proceedings of ACM SIGGRAPH'86) 5, 1, 51--72.

[6]

Culik, II, K. 1996. An aperiodic set of 13 Wang tiles. Disc. Math. 160, 1--3, 245--251.

[7]

Deussen, O., Hanrahan, P., Lintermann, B., Měch, R., Pharr, M., and Prusinkiewicz, P. 1998. Realistic modeling and rendering of plant ecosystems. In Proceedings of ACM SIGGRAPH'98, 275--286.

[8]

Dippé, M. A. Z. and Wold, E. H. 1985. Antialiasing through stochastic sampling. Comput. Graph. (Proceedings of ACM SIGGRAPH'85) 19, 3, 69--78.

[9]

Ebert, D. S., Musgrave, F. K., Peachey, D., Perlin, K., and Worley, S. 2002. Texturing and Modeling: A Procedural Approach. Morgan Kaufmann, San Francisco, CA.

[10]

Gielis, J., Beirinckx, B., and Bastiaens, E. 2003. Superquadrics with rational and irrational symmetry. In Proceedings of the Eighth ACM Symposium on Solid Modeling and Applications, 262--265.

[11]

Glassner, A. 1999. Andrew Glassner's Notebook: Recreational Computer Graphics. Morgan Kaufmann, San Fracisco, CA.

[12]

Grünbaum, B. and Shepard, G. C. 1986. Tilings and Patterns. W. H. Freeman & Company, New York, NY.

[13]

Hiller, S., Deussen, O., and Keller, A. 2001. Tiled blue noise samples. In Proceedings of Vision Modeling Visualization 2001. 265--272.

[14]

Kaplan, C. S. and Salesin, D. H. 2000. Escherization. In Proceedings of ACM SIGGRAPH 2000. 499--510.

[15]

Kari, J. 1996. A small aperiodic set of Wang tiles. Discr. Math. 160, 1--3, 259--264.

[16]

Klassen, R. V. 2000. Filtered jitter. Comput. Graph. Forum 19, 4, 223--230.

[17]

Kollig, T. and Keller, A. 2003. Efficient illumination by high dynamic range images. EGRW'03: Proceedings of the 14th Eurographics Workshop on Rendering. 45--50.

[18]

Lagae, A. and Dutré, P. 2005. Template Poisson disk tiles. Tech. rep. CW413. Katholieke Universiteit Leuven, Departement Computerwetenschappen, Heverlee, Belgium.

[19]

Lloyd, S. P. 1982. Least squares quantization in PCM. IEEE Trans. Inform. Theor. 28, 2, 129--137.

[20]

McCool, M. and Fiume, E. 1992. Hierarchical Poisson disk sampling distributions. In Proceedings of Graphics Interface'92. 94--105.

[21]

Mitchell, D. P. 1987. Generating antialiased images at low sampling densities. Comput. Graph. (Proceedings of ACM SIGGRAPH'87) 21, 4, 65--72.

[22]

Mitchell, D. P. 1991. Spectrally optimal sampling for distribution ray tracing. Comput. Graph. (Proceedings of ACM SIGGRAPH'91) 25, 4, 157--164.

[23]

Neyret, F. and Cani, M.-P. 1999. Pattern-based texturing revisited. In Proceedings of ACM SIGGRAPH 1999. 235--242.

[24]

Ostromoukhov, V., Donohue, C., and Jodoin, P.-M. 2004. Fast hierarchical importance sampling with blue noise properties. ACM Trans. Graph. 23, 3, 488--495.

[25]

Peachy, D. R. 1985. Solid texturing of complex surfaces. Comput. Graph. (Proceedings of ACM SIGGRAPH'85) 19, 3, 279--286.

[26]

Penrose, R. 1974. The role of aesthetics in pure and applied mathematical research. Bull. Inst. Math. Applications 10, 266--271.

[27]

Perlin, K. 1985. An image synthesizer. Comput. Graph. (Proceedings of ACM SIGGRAPH'85) 19, 3, 287--296.

[28]

Perlin, K. 2002. Improving noise. ACM Trans. Graph. 21, 681--682.

[29]

Perlin, K. and Hoffert, E. M. 1989. Hypertexture. Comput. Graph. (Proceedings of ACM SIGGRAPH'89) 23, 3, 253--262.

[30]

Secord, A., Heidrich, W., and Streit, L. 2002. Fast primitive distribution for illustration. EGRW '02: Proceedings of the 13th Eurographics Workshop on Rendering. 215--226.

[31]

Shade, J., Cohen, M. F., and Mitchell, D. P. 2002. Tiling layered depth images. Tech. rep., University of Washington, Department of Computer Science and Engineering, Seattle, WA.

[32]

Stam, J. 1997. Aperiodic texture mapping. Tech. rep. ERCIM-01/97-R046. European Research Consortium for Informatics and Mathematics, Sophia Antipolos, France.

[33]

Turk, G. 1991. Generating textures on arbitrary surfaces using reaction-diffusion. Comput. Graph. (Proceedings of ACM SIGGRAPH'91) 25, 4, 289--298.

[34]

Ulichney, R. 1987. Digital Halftoning. MIT Press, Cambridge, MA.

[35]

Wang, H. 1961. Proving theorems by pattern recognition II. Bell Syst. Tech. J. 40, 1--42.

[36]

Wang, H. 1965. Games, logic and computers. Scient. Amer. 213, 5, 98--106.

[37]

Wei, L.-Y. 2004. Tile-based texture mapping on graphics hardware. In Proceedings of the ACM SIGGRAPH/EUROGRAPHICS Conference on Graphics Hardware, 55--63.

[38]

Worley, S. 1996. A cellular texture basis function. In Proceedings of ACM SIGGRAPH 1996. 291--294.

[39]

Yellot, J. I. 1982. Spectral analysis of spatial sampling by photoreceptors: Topological disorder prevents aliasing. Vis. Res. 22, 1205--1210.

[40]

Yellot, J. I. 1983. Spectral consequences of photoreceptor sampling in the rhesus retina. Science 221, 382--385.

Cited By

Sartor SPeers P(2024)Content-aware Tile Generation using Exterior Boundary InpaintingACM Transactions on Graphics10.1145/368798143:6(1-12)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687981
Huang YYuan X(2024)StyleTerrainComputers and Graphics10.1016/j.cag.2023.09.002116:C(373-382)Online publication date: 4-Mar-2024
https://dl.acm.org/doi/10.1016/j.cag.2023.09.002
Wang T(2024)Poisson-Disk Sampling: Theory and ApplicationsEncyclopedia of Computer Graphics and Games10.1007/978-3-031-23161-2_398(1424-1431)Online publication date: 5-Jan-2024
https://doi.org/10.1007/978-3-031-23161-2_398
Show More Cited By

Index Terms

A procedural object distribution function
1. Computing methodologies
  1. Computer graphics
    1. Image manipulation
      1. Texturing
    2. Rendering

Recommendations

Non-periodic Tiling of Procedural Noise Functions

Procedural noise functions have many applications in computer graphics, ranging from texture synthesis to atmospheric effect simulation or to landscape geometry specification. Noise can either be precomputed and stored into a texture, or evaluated ...
Procedural isotropic stochastic textures by example

Image textures can easily be created using texture synthesis by example. However, creating procedural textures is much more difficult. This is unfortunate, since procedural textures have significant advantages over image textures. In this paper we ...
Recursive Wang tiles for real-time blue noise

Well distributed point sets play an important role in a variety of computer graphics contexts, such as anti-aliasing, global illumination, halftoning, non-photorealistic rendering, point-based modeling and rendering, and geometry processing. In this ...

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 24, Issue 4

October 2005

244 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/1095878

Issue’s Table of Contents

Copyright © 2005 ACM.

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 2005

Published in TOG Volume 24, Issue 4

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

86
Total Citations
View Citations
1,515
Total Downloads

Downloads (Last 12 months)19
Downloads (Last 6 weeks)3

Reflects downloads up to 19 Dec 2024

Other Metrics

View Author Metrics

Citations

Cited By

Sartor SPeers P(2024)Content-aware Tile Generation using Exterior Boundary InpaintingACM Transactions on Graphics10.1145/368798143:6(1-12)Online publication date: 19-Dec-2024
https://dl.acm.org/doi/10.1145/3687981
Huang YYuan X(2024)StyleTerrainComputers and Graphics10.1016/j.cag.2023.09.002116:C(373-382)Online publication date: 4-Mar-2024
https://dl.acm.org/doi/10.1016/j.cag.2023.09.002
Wang T(2024)Poisson-Disk Sampling: Theory and ApplicationsEncyclopedia of Computer Graphics and Games10.1007/978-3-031-23161-2_398(1424-1431)Online publication date: 5-Jan-2024
https://doi.org/10.1007/978-3-031-23161-2_398
Bærentzen JFrisvad JMartínez J(2023)Curl Noise JitteringSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618163(1-11)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618163
Tyburec MZeman J(2023)Bounded Wang tilings with integer programming and graph-based heuristicsScientific Reports10.1038/s41598-023-31786-313:1Online publication date: 24-Mar-2023
https://doi.org/10.1038/s41598-023-31786-3
Deng HLiu YWang BYang JMa LHolzschuch NYan L(2022)Constant-Cost Spatio-Angular Prefiltering of Glinty Appearance Using Tensor DecompositionACM Transactions on Graphics10.1145/350791541:2(1-17)Online publication date: 22-Jan-2022
https://dl.acm.org/doi/10.1145/3507915
Wang SSun Z(2021)Dyeing creation: a textile pattern discovery and fabric image generation methodMultimedia Tools and Applications10.1007/s11042-021-10902-3Online publication date: 4-May-2021
https://doi.org/10.1007/s11042-021-10902-3
Wang T(2021)Poisson-Disk Sampling: Theory and ApplicationsEncyclopedia of Computer Graphics and Games10.1007/978-3-319-08234-9_398-1(1-8)Online publication date: 27-May-2021
https://doi.org/10.1007/978-3-319-08234-9_398-1
Brandt SJähn CFischer Mauf der Heide F(2019)Visibility‐Aware Progressive Farthest Point Sampling on the GPUComputer Graphics Forum10.1111/cgf.1384838:7(413-424)Online publication date: 14-Nov-2019
https://doi.org/10.1111/cgf.13848
Tu PLischinski DHuang H(2019)Point Pattern Synthesis via Irregular ConvolutionComputer Graphics Forum10.1111/cgf.1379338:5(109-122)Online publication date: 12-Aug-2019
https://doi.org/10.1111/cgf.13793
Show More Cited By

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Article

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Media

Figures

Other

Tables

View Issue’s Table of Contents