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Viewpoint Space Partition based on Aspect Graph is one of the core techniques of 3D object recognition. Projection images obtained from critical viewpoint following this approach can efficiently provide topological information of an object. Computational complexity has been a huge challenge for obtaining the representation viewpoints used in 3D recognition. In this paper, we discuss inefficiency of calculation due to redundant nonexistent visual events; propose a systematic criterion for edge selection involved in EEE events. Pruning algorithm based on concave-convex property is demonstrated. We further introduce intersect relation into our pruning algorithm. These two methods not only enable the calculation of EEE events, but also can be implemented before viewpoint calculation, hence realizes view-independent pruning algorithm. Finally, analysis on simple representative models supports the effectiveness of our methods. Further investigations on Princeton Models, including airplane, automobile, etc, show a two orders of magnitude reduction in the number of EEE events on average.