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Fractal Art => Fractal Website of the Month => Topic started by: Nahee_Enterprises on March 09, 2007, 09:25:28 PM




Title: Hypercomplex Iterations -- Distance Estimation and Higher Dimensional Fractals
Post by: Nahee_Enterprises on March 09, 2007, 09:25:28 PM
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/ (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...

 


Title: Re: Hypercomplex Iterations -- Distance Estimation and Higher Dimensional Fracta
Post by: lycium on March 09, 2007, 11:53:47 PM
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]