Multiple video segments, including multiple frames, may be obtained. The video segments may be time synchronized for at least portions of the video segments captured during a synchronized time period. A first key frame moment may be set with the synchronized time period. A first set of construction parameter values may be determined for the frames captured during the first key frame moment. A first set of spherical images may be constructed using the first set of construction parameter values. A change may be detected in the construction parameter values at a moment in time subsequent to the first key frame moment, which may be identified as a second key frame moment. A second set of construction parameter values may be determined for the frames captured during the second key frame moment. The second set of spherical images may be constructed using the second set of construction parameter values.