This chapter surveys, discusses, and explores the entire concept of visual narrative structure, cognition, and generation from continuity-based to discontinuity-based perspectives. The model of visual narrative structure, including presentation and meaning, is expanded to explain the cognitive transition based on the rhetorical transition techniques and the rhetorical cutting techniques. The classification of the visual narrative structure, including rhetorical transition techniques and rhetorical cutting techniques, is useful for narrative simulation for discussing and exploring the entire visual narrative concept and generation. The rhetorical cutting techniques and the rhetorical transition techniques can reveal various cognitive effects such as reality effects and nostalgia effects, including difficulty. The determinacy-based narrative, the indeterminacy, the diversity, and the ambiguity on narrative can bridge the gaps between cognitive science, artificial intelligence, and narratology.