Ray Tracing Deterministic 3-D Fractals 2

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

Publication: Computer Graphics, Proceedings of SIGGRAPH ’89, vol 23, no 3, pp. 289-296

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.

Date: July 1, 1989 - July 30, 1989

Document: View PDF
Quaternion Julia Set Before & After Quarter Turn in the Complex Plane - J. Hart, EVL

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