In recent studies, the advanced wide field of view architectures for image reconstruction and exploitation (AWARE) multiscale camera, which is composed of a monocentric objective lens and an array of microcameras, was developed for the realization of snapshot wide field of view and high resolution imaging. This paper describes accelerated autofocus (AF) methods for the AWARE system based on a hierarchical spatial algorithm and an iterative temporal algorithm. In the algorithms, sensor positions of each microcamera are hierarchically scanned with contrast detection to effectively search for a focusing distance. The positions are then updated iteratively for dynamic scenes using temporal information. The algorithms are theoretically analyzed and experimentally demonstrated. The developed AF methods can be used for the realization of the temporal gigapixel imaging by the AWARE system.