Fractal Project
Abstract
Fractal image generation algorithms exhibit extreme parallelizability. Using general purpose graphics processing unit (GPU) programming to implement escape-time algorithms for Julia sets of functions,parallel methods generate visually attractive fractal images much faster than traditional methods. Vastly improved speeds are achieved using this method of computation, which allow real-time generation and display of images. A comparison is made between sequential and parallel implementations of the algorithm. An application created by the authors demonstrates using the increased speed to create dynamic imaging of fractals where the user may explore paths of parameter values corresponding to a given function's Mandelbrot set. Examples are given of artistic and mathematical insights gained by experiencing fractals interactively and from the ability to sample the parameter space quickly and comprehensively.
Students
Matthew Paulsen
Taylor Hutyra
Will Mayfield
Justin Eiland
Publications
William D. Mayfield, Justin C. Highland, Taylor J. Hutyra, Mathew C. Paulson, Bryant M. Wyatt (2018). Fractal Art Generation Using GPUs. Pearson Publishing, Boston, Ma: International Conference on Technology in Collegiate Mathematics.
Posters
Videos
Student Presentations
94rd Texas Section Meeting of the Mathematical Association of America
Texas A&M International University April 3-5 2014
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Fractal Generation Using GPUs – Chris Marble
The Texas A&M University System 11th Annual Student Research Symposium
Texas A&M University—Kingsville 11/8/2013
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Fractal Performance Analysis – Taylor Hutyra, and Will Mayfield
12th Annual Tarleton State University Student Research Symposium
Tarleton State University 11/2/2013
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Fractal Performance Analysis – Matthew Paulsen, Taylor Hutyra, and Will Mayfield
Sigma Xi SW Research Conference
University of Texas at Dallas 1/11-13/2013
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Fractal Performance Analysis – Matthew Paulsen
The Texas A&M University System 10th Annual Student Research Symposium
Texas A&M University at Galveston 11/9-10/2012
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Fractal Performance Analysis – Justin Eiland
11th Annual Tarleton State University Student Research Symposium
Tarleton State University 10/27/2012
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Fractal Performance Analysis – Matthew Paulsen