Title
Distance Ratio Fractal for Complex Mapping z <- za
Abstract
The complex mapping z <- z(a) is important in dynamical application, but it is not received as much attention in the literature as the mapping z <- z(a)+c, for there is not fractal structure by using escape time algorithm. This paper utilizes a new method named as distance ratio iteration method and discusses the iteration properties of the complex mapping z <- z(a). The distance ratio iteration method can render the convergence region of the mapping, so the image has complex and self-similarity structure. This paper generates fractal image using distance ratio iteration method for various exponents of z <- z(a) and discusses their visual properties. There is rich detail fractal structure in the mapping z <- z(a).
Year
DOI
Venue
2006
10.1109/IMSCCS.2006.213
FIRST INTERNATIONAL MULTI-SYMPOSIUMS ON COMPUTER AND COMPUTATIONAL SCIENCES (IMSCCS 2006), PROCEEDINGS, VOL 2
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
1
4
Name
Order
Citations
PageRank
Xi-zhe Zhang1388.94
Lv Tianyang2338.49
Shaobin Huang3117.93
Zhengxuan Wang44713.93