DocumentCode
1840455
Title
Quaternion Julia Fractals
Author
Xing, Yan ; Tan, Jieqing ; Hong, Peilin
Author_Institution
Sch. of Comput. & Inf., Hefei Univ. of Technol., Hefei
fYear
2008
fDate
18-21 Nov. 2008
Firstpage
797
Lastpage
802
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICYCS.2008.438
Filename
4709076
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