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Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space

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Abstract

Automatic generation of colorful symmetric images is considered by using orbit trap rendering methods. Orbit traps with appropriate symmetries are constructed to determine the density functions for the creation of colorful images. Furthermore, complete proofs of the orbit trap methods compatible with equivariant functions with respect to the tetrahedral and cubic symmetries are given.

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Acknowledgments

The authors would like to thank the anonymous referees for their careful reading, helpful comments, and suggestions that lead to the improvement of the manuscript. This work was supported by the National Natural Science Foundation of China (NSFC) #61003178, #61373087, #11201312, #61070087, #61272252, and #11026159; the Foundation for Distinguished Young Teachers in Guangdong, China #Yq2013144; and the Municipal Science and Technology Plan of Shenzhen in China #JC201105170615A and #JC201005280508A.

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Authors and Affiliations

  1. College of Mathematics and Computational Science, Shenzhen University, Shenzhen , 518060, People’s Republic of China

    Jian Lu, Yuru Zou, Chaoying Yang & Lijing Wang

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  1. Jian Lu
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  2. Yuru Zou
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  3. Chaoying Yang
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  4. Lijing Wang
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Correspondence to Yuru Zou.

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Lu, J., Zou, Y., Yang, C. et al. Orbit trap rendering methods for generating colorful symmetric images in three-dimensional space. Nonlinear Dyn 77, 1643–1651 (2014). https://doi.org/10.1007/s11071-014-1406-1

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  • DOI: https://doi.org/10.1007/s11071-014-1406-1

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