The Science of Fractal Images
Ray tracing deterministic 3-D fractals
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Generation and display of geometric fractals in 3-D
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
The general quaternionic M-J sets on the mapping z←zα+c(α ε N)
Computers & Mathematics with Applications
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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.