pp. 2017-2029
S&M2237 Research Paper of Special Issue https://doi.org/10.18494/SAM.2020.2792 Published: June 10, 2020 Sensing and Controlling with Markov Process for Locally Independent Fractal Image [PDF] Li-liang Zhang, Ting-cheng Chang, and Yan-ming Mao (Received December 31, 2019; Accepted April 29, 2020) Keywords: iterated function system, Markov model, fractal image, local control
We used the Markov process to impose parameter perturbation on affine transformations to overcome the self-similarity limitations of the fractal attractor of the classic iterated function system (IFS) and construct a fractal image with irregular shapes and features. Then, a control method for the IFS system for fractal image generation was proposed. This method decomposes the original IFS into several independent local subsystems. Then, we defined a transition probability matrix of the Markov process for each of the different local subsystems, and carried out image shape operation of a perturbation function to increase the control of the fractal image. This method can construct colorful fractal images effectively through computer image generation.
Corresponding author: Li-liang ZhangThis work is licensed under a Creative Commons Attribution 4.0 International License. Cite this article Li-liang Zhang, Ting-cheng Chang, and Yan-ming Mao, Sensing and Controlling with Markov Process for Locally Independent Fractal Image, Sens. Mater., Vol. 32, No. 6, 2020, p. 2017-2029. |