Title :
Quaternion Julia Fractals
Author :
Xing, Yan ; Tan, Jieqing ; Hong, Peilin
Author_Institution :
Sch. of Comput. & Inf., Hefei Univ. of Technol., Hefei
Abstract :
Fractal exists not only in complex plane but also in higher dimensional space. To realize the 3D fractal, the quaternion as the iteration variable is applied to create the 4D Julia set. After introducing usual complex Julia sets, the paper argues the process of the rendering of quaternion Julia fractals, and shows the graphic examples. Via the observation and analysis, some features of quaternion Julia sets are summarized in comparison with complex Julia sets, illustrating the relationship between them.
Keywords :
fractals; rendering (computer graphics); 4D Julia set; complex Julia sets; iteration variable; quaternion Julia fractals; rendering process; Clouds; Fractals; Graphics; H infinity control; Mathematics; Pixel; Quaternions; Rendering (computer graphics); Rivers; Space technology; Julia sets; fractal; quaternion;
Conference_Titel :
Young Computer Scientists, 2008. ICYCS 2008. The 9th International Conference for
Conference_Location :
Hunan
Print_ISBN :
978-0-7695-3398-8
Electronic_ISBN :
978-0-7695-3398-8
DOI :
10.1109/ICYCS.2008.438
