Differential Equations
and
Control Processes

Realization of Algorithms of Quaternion Julia and Mandelbrot Sets Visualization

Author(s):

Nikita O. Raba

Russia, 198904,
Saint Petersburg, Petrodvorets,
Universitetskiy pr. 28
Saint Petersburg State University
Faculty of mathematics and mechanics

no13@inbox.ru

Abstract:

In given article methods and algorithms of visualization of quaternion Julia and Mabdelbrot sets are described: inverse iteration method giving not so good results (suitable only for visualization of Julia sets) and ray tracing method (more accurate, but demanding much more calculations). For ray tracing method two ways of finding of intersection of a ray with set are represented: advanced classical and using distance estimation. Also the estimation of speed and quality of algorithms is given.

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