Ray Tracing Deterministic 3-D Fractals 2

July 1st, 1989

Categories: Visualization

Quaternion Julia Set Before & After Quarter Turn in the Complex Plane
Quaternion Julia Set Before & After Quarter Turn in the Complex Plane

Authors

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

About

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.

Resources

PDF

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, July 1st, 1989.