Ray Tracing Deterministic 3-D Fractals 2

Created on July 01, 1989

1989   ·   paper   ·   papers   Visualization

Ray Tracing Deterministic 3-D Fractals 2

Hart, J.,Sandin, D.,Kauffman L.

image

  • Caption: Quaternion Julia Set Before & After Quarter Turn in the Complex Plane
  • Credit: J. Hart, EVL

As shown in 1982, Julia sets of quadratic functions as well as many other deterministic fractals exist in spaces of higher dimensionality than the complex plane. Originally a boundary-tracking algorithm was used to view these structures but required a large amount of storage space to operate. By ray tracing these objects, the storage facilities of a graphics work-station frame buffer are sufficient.

A short discussion of a specific set of 3-D deterministic fractals precedes a full description of a ray tracing algorithm applied to these objects. A comparison with the boundary-tracking method and applications to other 3-D deterministic fractals are also included.

Citation: Hart, J., Sandin, D., Kauffman L., Ray Tracing Deterministic 3-D Fractals 2, Computer Graphics, Proceedings of SIGGRAPH ’89, vol 23, no 3, pp. 289-296, 1989-07-01.