Interactive Visualization of Quaternion Julia Sets

Proc. of Visualization '90, IEEE Computer Society Press, Oct. 1990, pp. 209-218

The first half of a two-step quaternion Julia Set visualization system is described. This step uses a quaternion square root function to adapt the classic inverse iteration algorithm to the quaternions. The augmented version produces a 3-D Julia set defined by a point cloud that can be interactively manipulated on a graphics workstation. Several cues are assigned to the point cloud to increase depth perception. Finally, a short theorem is proven that extends the domain of the inverse iteration method to a rotational family of quadratic quaternion Julia sets.

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