Hypercomplex Iterations -- Distance Estimation and Higher Dimensional Fractals

[Nahee_Enterprises]

The Electronic Visualization Laboratory (EVL) is an interdisciplinary graduate research laboratory that combines art and computer science, specializing in advanced visualization and networking technologies.   The laboratory is a joint effort of UIC's (University of Illinois at Chicago) College of Engineering and The School of Art & Design representing the oldest formal collaboration between engineering and art in the country, offering graduate degrees in electronic visualization (MFA, MS, PhD).   [Check out the The CAVE Virtual Reality Theater.]

      http://www.evl.uic.edu/hypercomplex/

Take a tour of the Quaternion Julia Sets.  See the  "Interactive Visualization of Quaternion Julia Sets" which utilizes the inverse iteration method to produce a real-time point cloud of the quaternionic Julia set.   And many other MPEG movies...
 

[lycium]

thanks for the interesting link!

from one of the videos:

Dynamics of the Quaternion, 1989
Computer Animation:    John Hart

his distance estimation method is well known, and is fast enough to ray trace quaternion julia fractals in realtime on a gpu: http://www.acm.uiuc.edu/~kcrane/web/project_qjulia.html [fixed link]