Ray tracing deterministic 3-D fractals

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 workstation 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 boundarytracking method and applications to other 3-D deterministic fractals are also included. CR Categories and Subject Descriptors:

• Type: Conference
• Year: 1989
• Where: SIGGRAPH
• Authors: John C. Hart, Daniel J. Sandin, Louis H. Kauffman
• Keywords: 3-D Deterministic Fractals, Computer Graphics, Deterministic Fractals, SIGGRAPH 1989, Workstation Frame Buffer