Towards Realistic Modeling and Rendering of 3-D Escape-Time Deterministic Fractal Shapes

  • Authors:
  • Hussein Karam;Masayuki Nakajima

  • Affiliations:
  • -;-

  • Venue:
  • VSMM '01 Proceedings of the Seventh International Conference on Virtual Systems and Multimedia (VSMM'01)
  • Year:
  • 2001

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Abstract

Escape-time method was introduced to generate the images of Julia and Mandelbrot setsAnd been applied to visualize attractors of iterated function systems IFS.Renderingdeterministic fractal shapes by IFS escape-time methods suffer from some main problems:intersection of a ray with a fractal surface is not so easy, surface normals are undefinedand the object aliases at all sampling resolutions.In this paper we propose a new methodcalled direct continuous escape-time for rendering deterministic fractals and attempt torecover these rendering problems in a reasonable time.The simple representation and the speed of computation of our algorithm makes rendering deterministic fractals reliablefor interactive machine.