In this thesis the Lipschitz approach and interval arithmetic approach to ray tracing implicit surfaces are compared. This comparison has been described as future work by Andrew et al. in [Guy98]. The methods are compared on the following:
• The pruning of space. This is an important measure to compare both methods as it reduces the amount of computation that takes place in ray tracing.
• The total time required to generate an image. We also show where the most time in finding ray-surface intersection is spent using different blobtree models.
[Guy98] Guy, A. and Tigges M. Practical Issues of Raytracing Implicit Surfaces with Interval Analysis. April 1998.