Abstract
Fractal sets can be generated by the iterated function system (IFS) codes using the contractive affine transformation. This paper presents various geometric affine transformations and their composition effects for two-dimensional (2-D) fractal sets. Here, the geometric transformations include translation, rotation, shearing, dilation/contraction, and reflection. First, a hierarchical fixed point-searching algorithm is proposed to determine the original coordinates of a 2-D fractal set directly from its IFS code. Then, the IFS code is modified according to the desired transformation. Instead of post processing the generated result, arbitrary affine transformation on the original fractal set can be directly obtained. On the other hand, the composite geometric transformations for 2-D fractal sets are also available. Finally, a complicated image frame can be synthesized by multiple 2-D fractal sets.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
